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1431412320 = 253513229393
BaseRepresentation
bin101010101010001…
…1001111001100000
310200202110021120010
41111110121321200
510412420143240
6354012044520
750320542522
oct12524317140
93622407503
101431412320
11674aa4298
1233b463740
1319a729550
14d816ba12
15859ec280
hex55519e60

1431412320 has 96 divisors (see below), whose sum is σ = 4855812192. Its totient is φ = 352346112.

The previous prime is 1431412313. The next prime is 1431412349. The reversal of 1431412320 is 232141341.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 108457 + ... + 120936.

It is an arithmetic number, because the mean of its divisors is an integer number (50581377).

Almost surely, 21431412320 is an apocalyptic number.

1431412320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1431412320 is an abundant number, since it is smaller than the sum of its proper divisors (3424399872).

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

1431412320 is a wasteful number, since it uses less digits than its factorization.

1431412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229424 (or 229416 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1431412320 is about 37834.0100967370. The cubic root of 1431412320 is about 1126.9939473015.

Adding to 1431412320 its reverse (232141341), we get a palindrome (1663553661).

The spelling of 1431412320 in words is "one billion, four hundred thirty-one million, four hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 229393 458786 688179 917572 1146965 1376358 1835144 2293930 2752716 2982109 3440895 3670288 4587860 5505432 5964218 6881790 7340576 8946327 9175720 11010864 11928436 13763580 14910545 17892654 18351440 22021728 23856872 27527160 29821090 35785308 36702880 44731635 47713744 55054320 59642180 71570616 89463270 95427488 110108640 119284360 143141232 178926540 238568720 286282464 357853080 477137440 715706160 1431412320