Search a number
-
+
14145154353 = 32112337379443
BaseRepresentation
bin11010010110001110…
…11110110100110001
31100111210121021220200
431023013132310301
5212432124414403
610255335425413
71010346554031
oct151307366461
940453537820
1014145154353
115aa9630910
1228a9225269
131445702325
1498289d8c1
1557bc56ca3
hex34b1ded31

14145154353 has 96 divisors (see below), whose sum is σ = 24004131840. Its totient is φ = 7939451520.

The previous prime is 14145154349. The next prime is 14145154363. The reversal of 14145154353 is 35345154141.

14145154353 is a `hidden beast` number, since 1 + 4 + 14 + 51 + 543 + 53 = 666.

It is not a de Polignac number, because 14145154353 - 22 = 14145154349 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14145154313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31930150 + ... + 31930592.

It is an arithmetic number, because the mean of its divisors is an integer number (250043040).

Almost surely, 214145154353 is an apocalyptic number.

It is an amenable number.

14145154353 is a deficient number, since it is larger than the sum of its proper divisors (9858977487).

14145154353 is a wasteful number, since it uses less digits than its factorization.

14145154353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 896 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The spelling of 14145154353 in words is "fourteen billion, one hundred forty-five million, one hundred fifty-four thousand, three hundred fifty-three".

Divisors: 1 3 9 11 23 33 37 69 99 111 207 253 333 379 407 443 759 851 1137 1221 1329 2277 2553 3411 3663 3987 4169 4873 7659 8717 9361 10189 12507 14023 14619 16391 26151 28083 30567 37521 42069 43857 49173 78453 84249 91701 95887 112079 126207 147519 154253 167897 180301 287661 322529 336237 376993 462759 503691 540903 862983 967587 1008711 1130979 1388277 1511073 1622709 1846867 2902761 3392937 3547819 3861631 4146923 5540601 6212189 10643457 11584893 12440769 16621803 18636567 31930371 34754679 37322307 42477941 55909701 68334079 127433823 142880347 205002237 382301469 428641041 615006711 1285923123 1571683817 4715051451 14145154353