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141334145210052 = 223228131079449543
BaseRepresentation
bin100000001000101011101011…
…100001010001011011000100
3200112102102010120211101101200
4200020223223201101123010
5122011104312133210202
61220332002053022500
741525024605333014
oct4010535341213304
9615372116741350
10141334145210052
11410405244410a3
1213a27607324a30
1360b29a2904232
1426c8875633c44
15115165ade5e1c
hex808aeb8516c4

141334145210052 has 72 divisors (see below), whose sum is σ = 358545037818240. Its totient is φ = 46942110687360.

The previous prime is 141334145210003. The next prime is 141334145210053. The reversal of 141334145210052 is 250012541433141.

141334145210052 is a `hidden beast` number, since 1 + 4 + 13 + 3 + 41 + 452 + 100 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 141334145209989 and 141334145210016.

It is not an unprimeable number, because it can be changed into a prime (141334145210053) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 314170393 + ... + 314619935.

It is an arithmetic number, because the mean of its divisors is an integer number (4979792191920).

Almost surely, 2141334145210052 is an apocalyptic number.

141334145210052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141334145210052 is an abundant number, since it is smaller than the sum of its proper divisors (217210892608188).

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

141334145210052 is a wasteful number, since it uses less digits than its factorization.

141334145210052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480913 (or 480908 counting only the distinct ones).

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

Adding to 141334145210052 its reverse (250012541433141), we get a palindrome (391346686643193).

The spelling of 141334145210052 in words is "one hundred forty-one trillion, three hundred thirty-four billion, one hundred forty-five million, two hundred ten thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 281 562 843 1124 1686 2529 3372 5058 10116 31079 62158 93237 124316 186474 279711 372948 449543 559422 899086 1118844 1348629 1798172 2697258 4045887 5394516 8091774 8733199 16183548 17466398 26199597 34932796 52399194 78598791 104798388 126321583 157197582 252643166 314395164 378964749 505286332 757929498 1136894247 1515858996 2273788494 4547576988 13971346897 27942693794 41914040691 55885387588 83828081382 125742122073 167656162764 251484244146 502968488292 3925948478057 7851896956114 11777845434171 15703793912228 23555690868342 35333536302513 47111381736684 70667072605026 141334145210052