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141146952345 = 325723313971583
BaseRepresentation
bin1000001101110100000…
…0111001001010011001
3111111022202220002120200
42003131000321022121
54303032104433340
6144501513012413
713124516204460
oct2033500711231
9444282802520
10141146952345
1154950858443
12234319b4109
13104053a1b19
146b8daad9d7
153a1177e330
hex20dd039299

141146952345 has 192 divisors, whose sum is σ = 302123188224. Its totient is φ = 59539898880.

The previous prime is 141146952343. The next prime is 141146952371. The reversal of 141146952345 is 543259641141.

141146952345 is a `hidden beast` number, since 1 + 4 + 114 + 6 + 9 + 523 + 4 + 5 = 666.

It is not a de Polignac number, because 141146952345 - 21 = 141146952343 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 141146952345.

It is not an unprimeable number, because it can be changed into a prime (141146952343) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89163424 + ... + 89165006.

It is an arithmetic number, because the mean of its divisors is an integer number (1573558272).

Almost surely, 2141146952345 is an apocalyptic number.

141146952345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

141146952345 is an abundant number, since it is smaller than the sum of its proper divisors (160976235879).

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

141146952345 is a wasteful number, since it uses less digits than its factorization.

141146952345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2049 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 141146952345 in words is "one hundred forty-one billion, one hundred forty-six million, nine hundred fifty-two thousand, three hundred forty-five".