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10142040040 = 2351141395569
BaseRepresentation
bin10010111001000001…
…10011111111101000
3222011211001000102121
421130200303333220
5131232330240130
64354215041024
7506220626566
oct113440637750
928154030377
1010142040040
114334a0a880
121b70670174
13c58260232
146c2d78a36
153e55b8d7a
hex25c833fe8

10142040040 has 64 divisors (see below), whose sum is σ = 24904584000. Its totient is φ = 3686461440.

The previous prime is 10142040037. The next prime is 10142040053. The reversal of 10142040040 is 4004024101.

It is a junction number, because it is equal to n+sod(n) for n = 10142039996 and 10142040023.

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, 1818376 + ... + 1823944.

It is an arithmetic number, because the mean of its divisors is an integer number (389134125).

Almost surely, 210142040040 is an apocalyptic number.

10142040040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142040040 is an abundant number, since it is smaller than the sum of its proper divisors (14762543960).

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

10142040040 is a wasteful number, since it uses less digits than its factorization.

10142040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9730 (or 9726 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10142040040 its reverse (4004024101), we get a palindrome (14146064141).

The spelling of 10142040040 in words is "ten billion, one hundred forty-two million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 4139 5569 8278 11138 16556 20695 22276 27845 33112 41390 44552 45529 55690 61259 82780 91058 111380 122518 165560 182116 222760 227645 245036 306295 364232 455290 490072 612590 910580 1225180 1821160 2450360 23050091 46100182 92200364 115250455 184400728 230500910 253551001 461001820 507102002 922003640 1014204004 1267755005 2028408008 2535510010 5071020020 10142040040