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1431224421440 = 265113710989131
BaseRepresentation
bin10100110100111011100…
…111111000110001000000
312001211020111020202022012
4110310323213320301000
5141422121422441230
63013255002232052
7205255034566502
oct24647347706100
95054214222265
101431224421440
11501a84968270
121b146a1b5628
13a4c6b8641a8
144d3b34ddd72
15273694ea395
hex14d3b9f8c40

1431224421440 has 112 divisors (see below), whose sum is σ = 3818415674304. Its totient is φ = 506379110400.

The previous prime is 1431224421439. The next prime is 1431224421463. The reversal of 1431224421440 is 441244221341.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1431224421397 and 1431224421406.

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, 5364326 + ... + 5624805.

It is an arithmetic number, because the mean of its divisors is an integer number (34092997092).

Almost surely, 21431224421440 is an apocalyptic number.

1431224421440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1431224421440 is an abundant number, since it is smaller than the sum of its proper divisors (2387191252864).

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

1431224421440 is a wasteful number, since it uses less digits than its factorization.

1431224421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10989196 (or 10989186 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 1431224421440 its reverse (441244221341), we get a palindrome (1872468642781).

The spelling of 1431224421440 in words is "one trillion, four hundred thirty-one billion, two hundred twenty-four million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 37 40 44 55 64 74 80 88 110 148 160 176 185 220 296 320 352 370 407 440 592 704 740 814 880 1184 1480 1628 1760 2035 2368 2960 3256 3520 4070 5920 6512 8140 11840 13024 16280 26048 32560 65120 130240 10989131 21978262 43956524 54945655 87913048 109891310 120880441 175826096 219782620 241760882 351652192 406597847 439565240 483521764 604402205 703304384 813195694 879130480 967043528 1208804410 1626391388 1758260960 1934087056 2032989235 2417608820 3252782776 3516521920 3868174112 4065978470 4472576317 4835217640 6505565552 7736348224 8131956940 8945152634 9670435280 13011131104 16263913880 17890305268 19340870560 22362881585 26022262208 32527827760 35780610536 38681741120 44725763170 65055655520 71561221072 89451526340 130111311040 143122442144 178903052680 286244884288 357806105360 715612210720 1431224421440