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114155131154232 = 23372372012609357
BaseRepresentation
bin11001111101001011010000…
…000010101010111100111000
3112222012010100100212122021010
4121331023100002222330320
5104430304202033413412
61042442050540513520
733021302365550400
oct3175132002527470
9488163310778233
10114155131154232
1133411a12578043
121097804254b8a0
134b90a23708b7c
1420291d02b3800
15d2e6849ae33c
hex67d2d00aaf38

114155131154232 has 96 divisors (see below), whose sum is σ = 331990810200720. Its totient is φ = 32614862515200.

The previous prime is 114155131154227. The next prime is 114155131154243. The reversal of 114155131154232 is 232451131551411.

It is a happy number.

114155131154232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 42443698 + ... + 45053054.

Almost surely, 2114155131154232 is an apocalyptic number.

114155131154232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114155131154232 is an abundant number, since it is smaller than the sum of its proper divisors (217835679046488).

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

114155131154232 is a wasteful number, since it uses less digits than its factorization.

114155131154232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646581 (or 2646570 counting only the distinct ones).

The product of its digits is 72000, while the sum is 39.

The spelling of 114155131154232 in words is "one hundred fourteen trillion, one hundred fifty-five billion, one hundred thirty-one million, one hundred fifty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 37201 74402 111603 148804 223206 260407 297608 446412 520814 781221 892824 1041628 1562442 1822849 2083256 2609357 3124884 3645698 5218714 5468547 6249768 7291396 7828071 10437428 10937094 14582792 15656142 18265499 20874856 21874188 31312284 36530998 43748376 54796497 62624568 73061996 109592994 127858493 146123992 219185988 255716986 383575479 438371976 511433972 767150958 1022867944 1534301916 3068603832 97070689757 194141379514 291212069271 388282759028 582424138542 679494828299 776565518056 1164848277084 1358989656598 2038484484897 2329696554168 2717979313196 4076968969794 4756463798093 5435958626392 8153937939588 9512927596186 14269391394279 16307875879176 19025855192372 28538782788558 38051710384744 57077565577116 114155131154232