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21442510532240 = 245725470028197
BaseRepresentation
bin1001110000000011110010…
…01110010010111010010000
32210220212212102112002102122
410320001321032102322100
510302303230144012430
6113334315305033412
74342112254155500
oct470017116227220
983825772462378
1021442510532240
1169177992103a6
1224a3851485868
13bc70351194a5
14541b74627a00
15272b800d8ee5
hex138079392e90

21442510532240 has 60 divisors (see below), whose sum is σ = 57993238955196. Its totient is φ = 7351717895424.

The previous prime is 21442510532189. The next prime is 21442510532321. The reversal of 21442510532240 is 4223501524412.

It can be written as a sum of positive squares in 2 ways, for example, as 4651234115584 + 16791276416656 = 2156672^2 + 4097716^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 21442510532240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2735010179 + ... + 2735018018.

Almost surely, 221442510532240 is an apocalyptic number.

21442510532240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21442510532240 is an abundant number, since it is smaller than the sum of its proper divisors (36550728422956).

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

21442510532240 is a wasteful number, since it uses less digits than its factorization.

21442510532240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5470028224 (or 5470028211 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 21442510532240 in words is "twenty-one trillion, four hundred forty-two billion, five hundred ten million, five hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 5470028197 10940056394 21880112788 27350140985 38290197379 43760225576 54700281970 76580394758 87520451152 109400563940 153160789516 191450986895 218801127880 268031381653 306321579032 382901973790 437602255760 536062763306 612643158064 765803947580 1072125526612 1340156908265 1531607895160 2144251053224 2680313816530 3063215790320 4288502106448 5360627633060 10721255266120 21442510532240