Search a number
-
+
14115414432 = 2537171235593
BaseRepresentation
bin11010010010101100…
…00010000110100000
31100102201122100102010
431021112002012200
5212402021230212
610252354152520
71006536020520
oct151126020640
940381570363
1014115414432
115a93868869
12289b282740
13143c4bb842
1497c95b680
1557933003c
hex3495821a0

14115414432 has 96 divisors (see below), whose sum is σ = 44837235072. Its totient is φ = 3795738624.

The previous prime is 14115414389. The next prime is 14115414451. The reversal of 14115414432 is 23441451141.

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

It is a super-2 number, since 2×141154144322 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14115414432.

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, 606373 + ... + 629220.

It is an arithmetic number, because the mean of its divisors is an integer number (467054532).

Almost surely, 214115414432 is an apocalyptic number.

14115414432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14115414432 is an abundant number, since it is smaller than the sum of its proper divisors (30721820640).

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

14115414432 is a wasteful number, since it uses less digits than its factorization.

14115414432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235630 (or 1235622 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

Adding to 14115414432 its reverse (23441451141), we get a palindrome (37556865573).

The spelling of 14115414432 in words is "fourteen billion, one hundred fifteen million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5712 11424 1235593 2471186 3706779 4942372 7413558 8649151 9884744 14827116 17298302 19769488 21005081 25947453 29654232 34596604 39538976 42010162 51894906 59308464 63015243 69193208 84020324 103789812 118616928 126030486 138386416 147035567 168040648 207579624 252060972 276772832 294071134 336081296 415159248 441106701 504121944 588142268 672162592 830318496 882213402 1008243888 1176284536 1764426804 2016487776 2352569072 3528853608 4705138144 7057707216 14115414432