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141007511034 = 232131314599971
BaseRepresentation
bin1000001101010010110…
…0111101110111111010
3111110222001111202001200
42003110230331313322
54302240410323114
6144440012155030
713121204032155
oct2032454756772
9443861452050
10141007511034
115488a078095
12233b3168a76
13103b252bb80
146b79372c9c
153a043d8409
hex20d4b3ddfa

141007511034 has 48 divisors (see below), whose sum is σ = 331529181984. Its totient is φ = 43055719200.

The previous prime is 141007511033. The next prime is 141007511077. The reversal of 141007511034 is 430115700141.

141007511034 is a `hidden beast` number, since 14 + 100 + 7 + 511 + 0 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 141007510989 and 141007511007.

It is not an unprimeable number, because it can be changed into a prime (141007511033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2269332 + ... + 2330639.

It is an arithmetic number, because the mean of its divisors is an integer number (6906857958).

Almost surely, 2141007511034 is an apocalyptic number.

141007511034 is an abundant number, since it is smaller than the sum of its proper divisors (190521670950).

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

141007511034 is a wasteful number, since it uses less digits than its factorization.

141007511034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4600123 (or 4600120 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 141007511034 in words is "one hundred forty-one billion, seven million, five hundred eleven thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 131 234 262 393 786 1179 1703 2358 3406 5109 10218 15327 30654 4599971 9199942 13799913 27599826 41399739 59799623 82799478 119599246 179398869 358797738 538196607 602596201 1076393214 1205192402 1807788603 3615577206 5423365809 7833750613 10846731618 15667501226 23501251839 47002503678 70503755517 141007511034