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20014402440 = 23355912722259
BaseRepresentation
bin10010101000111100…
…111000101110001000
31220122211121222200110
4102220330320232020
5311442141334230
613110002034320
71305655420344
oct225074705610
956584558613
1020014402440
11854067686a
123a669489a0
131b6c67b2a6
14d7c194624
157c21634b0
hex4a8f38b88

20014402440 has 128 divisors (see below), whose sum is σ = 61544448000. Its totient is φ = 5205166848.

The previous prime is 20014402423. The next prime is 20014402469. The reversal of 20014402440 is 4420441002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 888031 + ... + 910289.

It is an arithmetic number, because the mean of its divisors is an integer number (480816000).

Almost surely, 220014402440 is an apocalyptic number.

20014402440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20014402440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30772224000).

20014402440 is an abundant number, since it is smaller than the sum of its proper divisors (41530045560).

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

20014402440 is a wasteful number, since it uses less digits than its factorization.

20014402440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22459 (or 22455 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 20014402440 its reverse (4420441002), we get a palindrome (24434843442).

The spelling of 20014402440 in words is "twenty billion, fourteen million, four hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 127 177 236 254 295 354 381 472 508 590 635 708 762 885 1016 1180 1270 1416 1524 1770 1905 2360 2540 3048 3540 3810 5080 7080 7493 7620 14986 15240 22259 22479 29972 37465 44518 44958 59944 66777 74930 89036 89916 111295 112395 133554 149860 178072 179832 222590 224790 267108 299720 333885 445180 449580 534216 667770 890360 899160 1313281 1335540 2626562 2671080 2826893 3939843 5253124 5653786 6566405 7879686 8480679 10506248 11307572 13132810 14134465 15759372 16961358 19699215 22615144 26265620 28268930 31518744 33922716 39398430 42403395 52531240 56537860 67845432 78796860 84806790 113075720 157593720 166786687 169613580 333573374 339227160 500360061 667146748 833933435 1000720122 1334293496 1667866870 2001440244 2501800305 3335733740 4002880488 5003600610 6671467480 10007201220 20014402440