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10140253345345 = 5109108371716893
BaseRepresentation
bin1001001110001111011000…
…1100101101011001000001
31022220101202200122102001111
42103203312030231121001
52312114214324022340
633322211301003321
72064415634200624
oct223436614553101
938811680572044
1010140253345345
11325a503726282
1211792ba3b3541
135872b63617b6
14270b10267dbb
15128b88009aea
hex938f632d641

10140253345345 has 16 divisors (see below), whose sum is σ = 12281080133520. Its totient is φ = 8037032419584.

The previous prime is 10140253345337. The next prime is 10140253345361. The reversal of 10140253345345 is 54354335204101.

It can be written as a sum of positive squares in 8 ways, for example, as 1262755628176 + 8877497717169 = 1123724^2 + 2979513^2 .

It is a cyclic number.

It is not a de Polignac number, because 10140253345345 - 23 = 10140253345337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10140253345298 and 10140253345307.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5047719 + ... + 6764611.

It is an arithmetic number, because the mean of its divisors is an integer number (767567508345).

Almost surely, 210140253345345 is an apocalyptic number.

It is an amenable number.

10140253345345 is a deficient number, since it is larger than the sum of its proper divisors (2140826788175).

10140253345345 is a wasteful number, since it uses less digits than its factorization.

10140253345345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727844.

The product of its (nonzero) digits is 432000, while the sum is 40.

Adding to 10140253345345 its reverse (54354335204101), we get a palindrome (64494588549446).

The spelling of 10140253345345 in words is "ten trillion, one hundred forty billion, two hundred fifty-three million, three hundred forty-five thousand, three hundred forty-five".

Divisors: 1 5 109 545 10837 54185 1181233 1716893 5906165 8584465 187141337 935706685 18605969441 93029847205 2028050669069 10140253345345