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10142400016330 = 255571870197369
BaseRepresentation
bin1001001110010111011000…
…1001100110111111001010
31022220121022021222121001021
42103211312021212333022
52312133113401010310
633323204303343054
72064523061455621
oct223456611467712
938817267877037
1010142400016330
113260405440a2a
1211797b92b1a8a
1358756901070a
14270c753c26b8
15128c616e05da
hex93976266fca

10142400016330 has 32 divisors (see below), whose sum is σ = 18290262004560. Its totient is φ = 4049418278400.

The previous prime is 10142400016327. The next prime is 10142400016391. The reversal of 10142400016330 is 3361000424101.

It can be written as a sum of positive squares in 8 ways, for example, as 3908374795521 + 6234025220809 = 1976961^2 + 2496803^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10142400016295 and 10142400016304.

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, 104115886 + ... + 104213254.

Almost surely, 210142400016330 is an apocalyptic number.

10142400016330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10142400016330 is a deficient number, since it is larger than the sum of its proper divisors (8147861988230).

10142400016330 is a wasteful number, since it uses less digits than its factorization.

10142400016330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116634.

The product of its (nonzero) digits is 1728, while the sum is 25.

The spelling of 10142400016330 in words is "ten trillion, one hundred forty-two billion, four hundred million, sixteen thousand, three hundred thirty".

Divisors: 1 2 5 10 557 1114 2785 5570 18701 37402 93505 97369 187010 194738 486845 973690 10416457 20832914 52082285 54234533 104164570 108469066 271172665 542345330 1820897669 3641795338 9104488345 18208976690 1014240001633 2028480003266 5071200008165 10142400016330