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114525354143430 = 23451511144781799
BaseRepresentation
bin11010000010100100000011…
…000011010010111011000110
3120000111111221211202010120000
4122002210003003102323012
5110002340411130042210
61043324115452222130
733060120016206006
oct3202440303227306
9500444854663500
10114525354143430
1133544a258204aa
1210a1794546a946
134bb9904c28299
14203d0b18b6006
15d39102129ac0
hex6829030d2ec6

114525354143430 has 160 divisors (see below), whose sum is σ = 310016199398400. Its totient is φ = 30334821019200.

The previous prime is 114525354143429. The next prime is 114525354143443. The reversal of 114525354143430 is 34341453525411.

114525354143430 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 2 + 535 + 41 + 43 + 4 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1400041671 + ... + 1400123469.

It is an arithmetic number, because the mean of its divisors is an integer number (1937601246240).

Almost surely, 2114525354143430 is an apocalyptic number.

114525354143430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114525354143430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155008099699200).

114525354143430 is an abundant number, since it is smaller than the sum of its proper divisors (195490845254970).

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

114525354143430 is a wasteful number, since it uses less digits than its factorization.

114525354143430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93416 (or 93407 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 114525354143430 in words is "one hundred fourteen trillion, five hundred twenty-five billion, three hundred fifty-four million, one hundred forty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 151 162 270 302 405 453 755 810 906 1359 1510 2265 2718 4077 4530 6795 8154 11447 12231 13590 20385 22894 24462 34341 40770 57235 61155 68682 81799 103023 114470 122310 163598 171705 206046 245397 309069 343410 408995 490794 515115 618138 736191 817990 927207 1030230 1226985 1472382 1545345 1728497 1854414 2208573 2453970 3090690 3456994 3680955 4417146 4636035 5185491 6625719 7361910 8642485 9272070 10370982 11042865 12351649 13251438 15556473 17284970 22085730 24703298 25927455 31112946 33128595 37054947 46669419 51854910 61758245 66257190 74109894 77782365 93338838 111164841 123516490 140008257 155564730 185274735 222329682 233347095 280016514 333494523 370549470 466694190 555824205 666989046 700041285 936353153 1000483569 1111648410 1400082570 1667472615 1872706306 2000967138 2809059459 3334945230 4681765765 5002417845 5618118918 8427178377 9363531530 10004835690 14045297295 16854356754 25281535131 28090594590 42135891885 50563070262 75844605393 84271783770 126407675655 141389326103 151689210786 252815351310 282778652206 379223026965 424167978309 706946630515 758446053930 848335956618 1272503934927 1413893261030 2120839891545 2545007869854 3817511804781 4241679783090 6362519674635 7635023609562 11452535414343 12725039349270 19087559023905 22905070828686 38175118047810 57262677071715 114525354143430