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102144132441 = 32131663524971
BaseRepresentation
bin101111100100001000…
…0111100010101011001
3100202122121012120000100
41133020100330111121
53133142344214231
6114531355130013
710244140541331
oct1371020742531
9322577176010
10102144132441
113a35677758a
1217967a43909
13982aab0070
144d2db180c1
1529cc5bd1e6
hex17c843c559

102144132441 has 24 divisors (see below), whose sum is σ = 158986720256. Its totient is φ = 62820010080.

The previous prime is 102144132413. The next prime is 102144132457. The reversal of 102144132441 is 144231441201.

102144132441 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 4 + 413 + 244 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-102144132441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102144132401) 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, 67915 + ... + 457056.

Almost surely, 2102144132441 is an apocalyptic number.

It is an amenable number.

102144132441 is a deficient number, since it is larger than the sum of its proper divisors (56842587815).

102144132441 is a wasteful number, since it uses less digits than its factorization.

102144132441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526653 (or 526650 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 102144132441 its reverse (144231441201), we get a palindrome (246375573642).

The spelling of 102144132441 in words is "one hundred two billion, one hundred forty-four million, one hundred thirty-two thousand, four hundred forty-one".

Divisors: 1 3 9 13 39 117 1663 4989 14967 21619 64857 194571 524971 1574913 4724739 6824623 20473869 61421607 873026773 2619080319 7857240957 11349348049 34048044147 102144132441