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130314124421433 = 3240575237681493
BaseRepresentation
bin11101101000010100011111…
…000110000110100100111001
3122002101220112101112021012200
4131220110133012012210321
5114040031311322441213
61141053252102300413
736306612325220301
oct3550243706064471
9562356471467180
10130314124421433
1138581a00a54397
1212747900727709
1357937527071c4
142427347124601
15100eb81c66273
hex76851f186939

130314124421433 has 24 divisors (see below), whose sum is σ = 188314137585288. Its totient is φ = 86837956837632.

The previous prime is 130314124421413. The next prime is 130314124421471. The reversal of 130314124421433 is 334124421413031.

130314124421433 is a `hidden beast` number, since 1 + 3 + 0 + 31 + 41 + 2 + 442 + 143 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39435787563264 + 90878336858169 = 6279792^2 + 9533013^2 .

It is not a de Polignac number, because 130314124421433 - 25 = 130314124421401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130314124421413) 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, 190877835 + ... + 191559327.

It is an arithmetic number, because the mean of its divisors is an integer number (7846422399387).

Almost surely, 2130314124421433 is an apocalyptic number.

It is an amenable number.

130314124421433 is a deficient number, since it is larger than the sum of its proper divisors (58000013163855).

130314124421433 is a wasteful number, since it uses less digits than its factorization.

130314124421433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690793 (or 690790 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 130314124421433 its reverse (334124421413031), we get a palindrome (464438545834464).

The spelling of 130314124421433 in words is "one hundred thirty trillion, three hundred fourteen billion, one hundred twenty-four million, four hundred twenty-one thousand, four hundred thirty-three".

Divisors: 1 3 9 4057 5237 12171 15711 36513 47133 681493 2044479 6133437 21246509 63739527 191218581 2764817101 3568978841 8294451303 10706936523 24883353909 32120809569 14479347157937 43438041473811 130314124421433