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114403423512105 = 325721338531035829
BaseRepresentation
bin11010000000110010011111…
…011010110110011000101001
3120000001212020021202021202200
4122000302133122312120221
5104443341202404341410
61043152112431450413
733045242325015600
oct3200623732663051
9500055207667680
10114403423512105
11334a8246099502
12109b8197086a09
134bab272a73c20
142037225db0a37
15d35d679153c0
hex680c9f6b6629

114403423512105 has 144 divisors (see below), whose sum is σ = 248483576512080. Its totient is φ = 48263154379776.

The previous prime is 114403423512047. The next prime is 114403423512109. The reversal of 114403423512105 is 501215324304411.

114403423512105 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 0 + 34 + 2 + 3 + 512 + 105 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 478881992169 + 113924541519936 = 692013^2 + 10673544^2 .

It is not a de Polignac number, because 114403423512105 - 27 = 114403423511977 is a prime.

It is a super-2 number, since 2×1144034235121052 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114403423512105.

It is not an unprimeable number, because it can be changed into a prime (114403423512109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 109928331 + ... + 110964159.

It is an arithmetic number, because the mean of its divisors is an integer number (1725580392445).

Almost surely, 2114403423512105 is an apocalyptic number.

114403423512105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114403423512105 is an abundant number, since it is smaller than the sum of its proper divisors (134080152999975).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114403423512105 is a wasteful number, since it uses less digits than its factorization.

114403423512105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039720 (or 1039710 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 114403423512105 its reverse (501215324304411), we get a palindrome (615618747816516).

The spelling of 114403423512105 in words is "one hundred fourteen trillion, four hundred three billion, four hundred twenty-three million, five hundred twelve thousand, one hundred five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 49 63 65 91 105 117 147 195 245 273 315 441 455 585 637 735 819 1365 1911 2205 3185 3853 4095 5733 9555 11559 19265 26971 28665 34677 50089 57795 80913 134855 150267 173385 188797 242739 250445 350623 404565 450801 566391 751335 943985 1035829 1051869 1213695 1699173 1753115 2254005 2454361 2831955 3107487 3155607 5179145 5259345 7250803 7363083 8495865 9322461 12271805 13465777 15537435 15778035 21752409 22089249 36254015 36815415 40397331 46612305 50755621 65257227 67328885 94260439 108762045 110446245 121191993 152266863 201986655 253778105 282781317 326286135 456800589 471302195 605959965 659823073 761334315 848343951 1413906585 1979469219 2284002945 3299115365 3991049137 4241719755 5938407657 9897346095 11973147411 19955245685 27937343959 29692038285 35919442233 51883638781 59865737055 83812031877 139686719795 155650916343 179597211165 195561407713 251436095631 259418193905 363185471467 419060159385 466952749029 586684223139 778254581715 977807038565 1089556414401 1257180478155 1760052669417 1815927357335 2334763745145 2542298300269 2933421115695 3268669243203 5447782072005 7626894900807 8800263347085 12711491501345 16343346216015 22880684702421 38134474504035 114403423512105