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153141367372542 = 23261459730340007
BaseRepresentation
bin100010110100100000000000…
…110011010111101011111110
3202002020011122012101200010100
4202310200000303113223332
5130033032010021410132
61301412101205021530
744154045562641603
oct4264400063275376
9662204565350110
10153141367372542
114488298654932a
12152139a60b48a6
13675b227324683
1429b612039c6aa
1512a885994237c
hex8b4800cd7afe

153141367372542 has 48 divisors (see below), whose sum is σ = 337319116703712. Its totient is φ = 50199360327360.

The previous prime is 153141367372541. The next prime is 153141367372559. The reversal of 153141367372542 is 245273763141351.

153141367372542 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 4 + 1 + 3 + 67 + 37 + 2 + 542 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153141367372541) by changing a digit.

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, 10122498 + ... + 20217509.

It is an arithmetic number, because the mean of its divisors is an integer number (7027481597994).

Almost surely, 2153141367372542 is an apocalyptic number.

153141367372542 is an abundant number, since it is smaller than the sum of its proper divisors (184177749331170).

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

153141367372542 is a wasteful number, since it uses less digits than its factorization.

153141367372542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30344673 (or 30344670 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The spelling of 153141367372542 in words is "one hundred fifty-three trillion, one hundred forty-one billion, three hundred sixty-seven million, three hundred seventy-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 1098 4597 9194 13791 27582 41373 82746 280417 560834 841251 1682502 2523753 5047506 30340007 60680014 91020021 182040042 273060063 546120126 1850740427 3701480854 5552221281 11104442562 16656663843 33313327686 139473012179 278946024358 418419036537 836838073074 1255257109611 2510514219222 8507853742919 17015707485838 25523561228757 51047122457514 76570683686271 153141367372542