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141087933684 = 223213788732251
BaseRepresentation
bin1000001101100101111…
…1110000010011110100
3111111011122211122012100
42003121133300103310
54302422002334214
6144452004022100
713123201435425
oct2033137602364
9444148748170
10141087933684
1154920507895
1223416091930
13103c60a9739
146b85d0964c
153a0b4c2309
hex20d97f04f4

141087933684 has 72 divisors (see below), whose sum is σ = 359658307008. Its totient is φ = 46631952000.

The previous prime is 141087933653. The next prime is 141087933703. The reversal of 141087933684 is 486339780141.

141087933684 is a `hidden beast` number, since 1 + 410 + 87 + 93 + 3 + 68 + 4 = 666.

141087933684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 141087933684.

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 23 ways as a sum of consecutive naturals, for example, 4358559 + ... + 4390809.

It is an arithmetic number, because the mean of its divisors is an integer number (4995254264).

Almost surely, 2141087933684 is an apocalyptic number.

It is an amenable number.

141087933684 is an abundant number, since it is smaller than the sum of its proper divisors (218570373324).

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

141087933684 is a wasteful number, since it uses less digits than its factorization.

141087933684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33285 (or 33280 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 141087933684 in words is "one hundred forty-one billion, eighty-seven million, nine hundred thirty-three thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 411 548 822 887 1233 1644 1774 2466 2661 3548 4932 5322 7983 10644 15966 31932 32251 64502 96753 121519 129004 193506 243038 290259 364557 387012 486076 580518 729114 1093671 1161036 1458228 2187342 4374684 4418387 8836774 13255161 17673548 26510322 28606637 39765483 53020644 57213274 79530966 85819911 114426548 159061932 171639822 257459733 343279644 514919466 1029838932 3919109269 7838218538 11757327807 15676437076 23514655614 35271983421 47029311228 70543966842 141087933684