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21442410020 = 22515746114813
BaseRepresentation
bin10011111110000100…
…010011011000100100
32001100100200021211002
4103332010103120210
5322403224110040
613503413132432
71356235322633
oct237604233044
961310607732
1021442410020
119103755019
1241a502a118
132039484ba5
141075ab751a
158576dba15
hex4fe113624

21442410020 has 48 divisors (see below), whose sum is σ = 45417235248. Its totient is φ = 8503272960.

The previous prime is 21442410013. The next prime is 21442410053. The reversal of 21442410020 is 2001424412.

It can be written as a sum of positive squares in 8 ways, for example, as 2853269056 + 18589140964 = 53416^2 + 136342^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 21442409974 and 21442410001.

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, 1440134 + ... + 1454946.

It is an arithmetic number, because the mean of its divisors is an integer number (946192401).

Almost surely, 221442410020 is an apocalyptic number.

21442410020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21442410020 is an abundant number, since it is smaller than the sum of its proper divisors (23974825228).

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

21442410020 is a wasteful number, since it uses less digits than its factorization.

21442410020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15440 (or 15438 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 21442410020 its reverse (2001424412), we get a palindrome (23443834432).

The spelling of 21442410020 in words is "twenty-one billion, four hundred forty-two million, four hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 157 314 461 628 785 922 1570 1844 2305 3140 4610 9220 14813 29626 59252 72377 74065 144754 148130 289508 296260 361885 723770 1447540 2325641 4651282 6828793 9302564 11628205 13657586 23256410 27315172 34143965 46512820 68287930 136575860 1072120501 2144241002 4288482004 5360602505 10721205010 21442410020