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141004444312413 = 32112240551538267
BaseRepresentation
bin100000000011111000100111…
…110100001010001101011101
3200111020220010011102102120200
4200003320213310022031131
5121440204100220444123
61215520314130334113
741462143402052133
oct4003704764121535
9614226104372520
10141004444312413
1140a23715921900
121399373312a339
13608a87b6858a6
1426b6919aa5753
151147cb0ee1143
hex803e27d0a35d

141004444312413 has 36 divisors (see below), whose sum is σ = 223873416565344. Its totient is φ = 85456724958000.

The previous prime is 141004444312393. The next prime is 141004444312471. The reversal of 141004444312413 is 314213444400141.

141004444312413 is a `hidden beast` number, since 1 + 41 + 0 + 0 + 44 + 443 + 124 + 13 = 666.

It is not a de Polignac number, because 141004444312413 - 29 = 141004444311901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141004444310413) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 261690906 + ... + 262229172.

It is an arithmetic number, because the mean of its divisors is an integer number (6218706015704).

Almost surely, 2141004444312413 is an apocalyptic number.

It is an amenable number.

141004444312413 is a deficient number, since it is larger than the sum of its proper divisors (82868972252931).

141004444312413 is a wasteful number, since it uses less digits than its factorization.

141004444312413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778846 (or 778832 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 141004444312413 its reverse (314213444400141), we get a palindrome (455217888712554).

The spelling of 141004444312413 in words is "one hundred forty-one trillion, four billion, four hundred forty-four million, three hundred twelve thousand, four hundred thirteen".

Divisors: 1 3 9 11 33 99 121 363 1089 240551 538267 721653 1614801 2164959 2646061 4844403 5920937 7938183 17762811 23814549 29106671 53288433 65130307 87320013 195390921 261960039 586172763 129480665117 388441995351 1165325986053 1424287316287 4272861948861 12818585846583 15667160479157 47001481437471 141004444312413