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10342126310304 = 253829129952331
BaseRepresentation
bin1001011001111111011011…
…0000111101001110100000
31100121200211120020120110110
42112133312300331032200
52323421133313412204
633555035055131320
72115123350115105
oct226376660751640
940550746216413
1010342126310304
1133280867577a8
1211b0459213b40
135a0348709c59
1427a7c0db6aac
1512e050aeb889
hex967f6c3d3a0

10342126310304 has 48 divisors (see below), whose sum is σ = 27180829761120. Its totient is φ = 3443216935680.

The previous prime is 10342126310297. The next prime is 10342126310309. The reversal of 10342126310304 is 40301362124301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×103421263103043 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10342126310309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64896582 + ... + 65055749.

It is an arithmetic number, because the mean of its divisors is an integer number (566267286690).

Almost surely, 210342126310304 is an apocalyptic number.

It is an amenable number.

10342126310304 is an abundant number, since it is smaller than the sum of its proper divisors (16838703450816).

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

10342126310304 is a wasteful number, since it uses less digits than its factorization.

10342126310304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129953173 (or 129953165 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 10342126310304 its reverse (40301362124301), we get a palindrome (50643488434605).

The spelling of 10342126310304 in words is "ten trillion, three hundred forty-two billion, one hundred twenty-six million, three hundred ten thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 829 1658 2487 3316 4974 6632 9948 13264 19896 26528 39792 79584 129952331 259904662 389856993 519809324 779713986 1039618648 1559427972 2079237296 3118855944 4158474592 6237711888 12475423776 107730482399 215460964798 323191447197 430921929596 646382894394 861843859192 1292765788788 1723687718384 2585531577576 3447375436768 5171063155152 10342126310304