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20421431424 = 273317347587
BaseRepresentation
bin10011000001001101…
…100101000010000000
31221201012112012111000
4103001031211002000
5313310341301144
613214222052000
71322030205642
oct230115450200
957635465430
1020421431424
11872a402759
123b5b11a000
131c05ab1044
14dba268892
157e7c64769
hex4c1365080

20421431424 has 128 divisors (see below), whose sum is σ = 63817156800. Its totient is φ = 6406705152.

The previous prime is 20421431357. The next prime is 20421431453. The reversal of 20421431424 is 42413412402.

20421431424 is a `hidden beast` number, since 20 + 4 + 214 + 3 + 1 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×204214314242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115042 + ... + 232545.

Almost surely, 220421431424 is an apocalyptic number.

20421431424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20421431424 is an abundant number, since it is smaller than the sum of its proper divisors (43395725376).

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

20421431424 is a wasteful number, since it uses less digits than its factorization.

20421431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347627 (or 347609 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 20421431424 its reverse (42413412402), we get a palindrome (62834843826).

The spelling of 20421431424 in words is "twenty billion, four hundred twenty-one million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 918 1088 1152 1224 1632 1728 1836 2176 2448 3264 3456 3672 4896 6528 7344 9792 14688 19584 29376 58752 347587 695174 1042761 1390348 2085522 2780696 3128283 4171044 5561392 5908979 6256566 8342088 9384849 11122784 11817958 12513132 16684176 17726937 18769698 22245568 23635916 25026264 33368352 35453874 37539396 44491136 47271832 50052528 53180811 66736704 70907748 75078792 94543664 100105056 106361622 133473408 141815496 150157584 159542433 189087328 200210112 212723244 283630992 300315168 319084866 378174656 400420224 425446488 567261984 600630336 638169732 756349312 850892976 1134523968 1201260672 1276339464 1701785952 2269047936 2552678928 3403571904 5105357856 6807143808 10210715712 20421431424