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14022953472 = 293111748821
BaseRepresentation
bin11010000111101010…
…10100101000000000
31100012021122211211010
431003311110220000
5212204334002342
610235252320520
71004334065163
oct150365245000
940167584733
1014022953472
115a46656550
122874313140
1314262b7708
1497056dada
1557116929c
hex343d54a00

14022953472 has 160 divisors (see below), whose sum is σ = 43152398784. Its totient is φ = 3999334400.

The previous prime is 14022953453. The next prime is 14022953519. The reversal of 14022953472 is 27435922041.

It is a self number, because there is not a number n which added to its sum of digits gives 14022953472.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262822 + ... + 311642.

Almost surely, 214022953472 is an apocalyptic number.

14022953472 is a gapful number since it is divisible by the number (12) 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 14022953472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21576199392).

14022953472 is an abundant number, since it is smaller than the sum of its proper divisors (29129445312).

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

14022953472 is a wasteful number, since it uses less digits than its factorization.

14022953472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48870 (or 48854 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 14022953472 in words is "fourteen billion, twenty-two million, nine hundred fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 256 264 272 352 374 384 408 512 528 544 561 704 748 768 816 1056 1088 1122 1408 1496 1536 1632 2112 2176 2244 2816 2992 3264 4224 4352 4488 5632 5984 6528 8448 8704 8976 11968 13056 16896 17952 23936 26112 35904 47872 48821 71808 95744 97642 143616 146463 195284 287232 292926 390568 537031 585852 781136 829957 1074062 1171704 1562272 1611093 1659914 2148124 2343408 2489871 3124544 3222186 3319828 4296248 4686816 4979742 6249088 6444372 6639656 8592496 9129527 9373632 9959484 12498176 12888744 13279312 17184992 18259054 18747264 19918968 24996352 25777488 26558624 27388581 34369984 36518108 37494528 39837936 51554976 53117248 54777162 68739968 73036216 74989056 79675872 103109952 106234496 109554324 137479936 146072432 159351744 206219904 212468992 219108648 274959872 292144864 318703488 412439808 424937984 438217296 584289728 637406976 824879616 876434592 1168579456 1274813952 1752869184 2337158912 3505738368 4674317824 7011476736 14022953472