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10140044562131 = 1129431129654767
BaseRepresentation
bin1001001110001110100111…
…0000010000111011010011
31022220101020010210010022212
42103203221300100323103
52312113302401442011
633322134442022335
72064410520442331
oct223435160207323
938811203703285
1010140044562131
11325a406894370
1211792604a79ab
13587282020733
14270ad063ab51
15128b74a1808b
hex938e9c10ed3

10140044562131 has 32 divisors (see below), whose sum is σ = 11719823385600. Its totient is φ = 8685654324480.

The previous prime is 10140044562041. The next prime is 10140044562139. The reversal of 10140044562131 is 13126544004101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10140044562131 is a prime.

It is a super-2 number, since 2×101400445621312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10140044562139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15159110 + ... + 15813876.

It is an arithmetic number, because the mean of its divisors is an integer number (366244480800).

Almost surely, 210140044562131 is an apocalyptic number.

10140044562131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10140044562131 is a deficient number, since it is larger than the sum of its proper divisors (1579778823469).

10140044562131 is a wasteful number, since it uses less digits than its factorization.

10140044562131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655979.

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 10140044562131 its reverse (13126544004101), we get a palindrome (23266588566232).

The spelling of 10140044562131 in words is "ten trillion, one hundred forty billion, forty-four million, five hundred sixty-two thousand, one hundred thirty-one".

Divisors: 1 11 29 43 319 473 1129 1247 12419 13717 32741 48547 360151 534017 654767 1407863 7202437 15486493 18988243 28154981 208870673 309704791 739231943 816494449 8131551373 8981438939 21437726347 31786973549 235814989817 349656709039 921822232921 10140044562131