Search a number
-
+
14114904135972 = 223471009175314149
BaseRepresentation
bin1100110101100110000111…
…0110001101100100100100
31211222101000221022211222020
43031121201312031210210
53322224310424322342
650004144125303140
72654524324400403
oct315314166154444
954871027284866
1014114904135972
114552108456732
1216bb690a04ab0
137b5050486653
1436b244abb63a
151972638130ec
hexcd661d8d924

14114904135972 has 96 divisors (see below), whose sum is σ = 33690439104000. Its totient is φ = 4597349363712.

The previous prime is 14114904135961. The next prime is 14114904136001. The reversal of 14114904135972 is 27953140941141.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 997583154 + ... + 997597302.

It is an arithmetic number, because the mean of its divisors is an integer number (350942074000).

Almost surely, 214114904135972 is an apocalyptic number.

14114904135972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14114904135972 is an abundant number, since it is smaller than the sum of its proper divisors (19575534968028).

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

14114904135972 is a wasteful number, since it uses less digits than its factorization.

14114904135972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16965 (or 16963 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 14114904135972 in words is "fourteen trillion, one hundred fourteen billion, nine hundred four million, one hundred thirty-five thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 47 94 141 188 282 564 1009 1753 2018 3027 3506 4036 5259 6054 7012 10518 12108 14149 21036 28298 42447 47423 56596 82391 84894 94846 142269 164782 169788 189692 247173 284538 329564 494346 569076 665003 988692 1330006 1768777 1995009 2660012 3537554 3990018 5306331 7075108 7980036 10612662 14276341 21225324 24803197 28552682 42829023 49606394 57105364 74409591 83132519 85658046 99212788 148819182 166265038 171316092 249397557 297638364 332530076 498795114 670988027 997590228 1165750259 1341976054 2012964081 2331500518 2683952108 3497250777 4025928162 4663001036 6994501554 8051856324 13989003108 25026425773 50052851546 75079277319 100105703092 150158554638 300317109276 1176242011331 2352484022662 3528726033993 4704968045324 7057452067986 14114904135972