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10142046640 = 2451111525053
BaseRepresentation
bin10010111001000001…
…10101100110110000
3222011211001100111001
421130200311212300
5131232330443030
64354215131344
7506220655045
oct113440654660
928154040431
1010142046640
114334a14830
121b70673b54
13c5826323b
146c2d7b1cc
153e55bacca
hex25c8359b0

10142046640 has 40 divisors (see below), whose sum is σ = 25723920528. Its totient is φ = 3688016640.

The previous prime is 10142046637. The next prime is 10142046641. The reversal of 10142046640 is 4664024101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×101420466402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10142046599 and 10142046608.

It is not an unprimeable number, because it can be changed into a prime (10142046641) 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, 5761647 + ... + 5763406.

Almost surely, 210142046640 is an apocalyptic number.

10142046640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142046640 is an abundant number, since it is smaller than the sum of its proper divisors (15581873888).

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

10142046640 is a wasteful number, since it uses less digits than its factorization.

10142046640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11525077 (or 11525071 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 10142046640 in words is "ten billion, one hundred forty-two million, forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 11525053 23050106 46100212 57625265 92200424 115250530 126775583 184400848 230501060 253551166 461002120 507102332 633877915 922004240 1014204664 1267755830 2028409328 2535511660 5071023320 10142046640