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114405291 = 34711131783
BaseRepresentation
bin1101101000110…
…10111110101011
321222021101120000
412310122332223
5213241432131
615204034043
72556300060
oct664327653
9258241500
10114405291
1159640430
1232392923
131a918550
14112a0c67
15a09cce6
hex6d1afab

114405291 has 160 divisors (see below), whose sum is σ = 245887488. Its totient is φ = 51010560.

The previous prime is 114405287. The next prime is 114405331. The reversal of 114405291 is 192504411.

It is not a de Polignac number, because 114405291 - 22 = 114405287 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114405281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1378336 + ... + 1378418.

Almost surely, 2114405291 is an apocalyptic number.

114405291 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114405291 is an abundant number, since it is smaller than the sum of its proper divisors (131482197).

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

114405291 is a wasteful number, since it uses less digits than its factorization.

114405291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 114405291 is about 10696.0409030632. The cubic root of 114405291 is about 485.4546924458.

The spelling of 114405291 in words is "one hundred fourteen million, four hundred five thousand, two hundred ninety-one".

Divisors: 1 3 7 9 11 13 17 21 27 33 39 51 63 77 81 83 91 99 117 119 143 153 187 189 221 231 249 273 297 351 357 429 459 561 567 581 663 693 747 819 891 913 1001 1053 1071 1079 1287 1309 1377 1411 1547 1683 1743 1989 2079 2241 2431 2457 2739 3003 3213 3237 3861 3927 4233 4641 5049 5229 5967 6237 6391 6723 7293 7371 7553 8217 9009 9639 9711 9877 11583 11781 11869 12699 13923 15147 15521 15687 17017 17901 18343 19173 21879 22659 24651 27027 29133 29631 35343 35607 38097 41769 46563 47061 51051 55029 57519 65637 67977 73953 81081 83083 87399 88893 106029 106821 108647 114291 125307 128401 139689 153153 165087 172557 196911 201773 203931 249249 266679 320463 325941 385203 419067 459459 495261 517671 605319 611793 747747 800037 961389 977823 1155609 1257201 1378377 1412411 1485783 1815957 2243241 2933469 3466827 4237233 5447871 6729723 8800407 10400481 12711699 16343613 38135097 114405291