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21444502440 = 23351710512011
BaseRepresentation
bin10011111110001100…
…010010001110101000
32001100111121121002010
4103332030102032220
5322404243034230
613503530035520
71356262156164
oct237614221650
961314547063
1021444502440
119104954099
1241a5878ba0
132039a383ca
14107609dca4
158579a19b0
hex4fe3123a8

21444502440 has 64 divisors (see below), whose sum is σ = 68117837760. Its totient is φ = 5382149120.

The previous prime is 21444502421. The next prime is 21444502447. The reversal of 21444502440 is 4420544412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21444502398 and 21444502407.

It is not an unprimeable number, because it can be changed into a prime (21444502447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5253966 + ... + 5258045.

It is an arithmetic number, because the mean of its divisors is an integer number (1064341215).

Almost surely, 221444502440 is an apocalyptic number.

21444502440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21444502440 is an abundant number, since it is smaller than the sum of its proper divisors (46673335320).

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

21444502440 is a wasteful number, since it uses less digits than its factorization.

21444502440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10512042 (or 10512038 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

The spelling of 21444502440 in words is "twenty-one billion, four hundred forty-four million, five hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 10512011 21024022 31536033 42048044 52560055 63072066 84096088 105120110 126144132 157680165 178704187 210240220 252288264 315360330 357408374 420480440 536112561 630720660 714816748 893520935 1072225122 1261441320 1429633496 1787041870 2144450244 2680562805 3574083740 4288900488 5361125610 7148167480 10722251220 21444502440