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10442023400 = 2352211324709
BaseRepresentation
bin10011011100110010…
…01010000111101000
3222221201111202020102
421232121022013220
5132341124222100
64444052444532
7516522506624
oct115631120750
928851452212
1010442023400
114479282806
122035019748
13ca5453593
14710b46184
15411ac2cd5
hex26e64a1e8

10442023400 has 48 divisors (see below), whose sum is σ = 24290177100. Its totient is φ = 4174663680.

The previous prime is 10442023367. The next prime is 10442023411. The reversal of 10442023400 is 432024401.

It can be written as a sum of positive squares in 6 ways, for example, as 1263233764 + 9178789636 = 35542^2 + 95806^2 .

It is a super-2 number, since 2×104420234002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 410246 + ... + 434954.

Almost surely, 210442023400 is an apocalyptic number.

10442023400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10442023400 is an abundant number, since it is smaller than the sum of its proper divisors (13848153700).

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

10442023400 is a wasteful number, since it uses less digits than its factorization.

10442023400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26838 (or 26829 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10442023400 its reverse (432024401), we get a palindrome (10874047801).

The spelling of 10442023400 in words is "ten billion, four hundred forty-two million, twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2113 4226 8452 10565 16904 21130 24709 42260 49418 52825 84520 98836 105650 123545 197672 211300 247090 422600 494180 617725 988360 1235450 2470900 4941800 52210117 104420234 208840468 261050585 417680936 522101170 1044202340 1305252925 2088404680 2610505850 5221011700 10442023400