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14323931381809 = 7231210721632
BaseRepresentation
bin1101000001110000110011…
…0101111000000000110001
31212201100120101222010202001
43100130030311320000301
53334140402413204214
650244153452454001
73005604241563400
oct320341465700061
955640511863661
1014323931381809
114622821928285
1217340a777a301
137cb982aa52ba
143773d3a67637
1519c8e9546c74
hexd070cd78031

14323931381809 has 81 divisors (see below), whose sum is σ = 17487064657881. Its totient is φ = 11698347039120.

The previous prime is 14323931381803. The next prime is 14323931381813. The reversal of 14323931381809 is 90818313932341.

The square root of 14323931381809 is 3784697.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 14323931381809 - 229 = 14323394510897 is a prime.

It is a super-2 number, since 2×143239313818092 (a number of 27 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 14323931381809.

It is not an unprimeable number, because it can be changed into a prime (14323931381803) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 87876879562 + ... + 87876879724.

Almost surely, 214323931381809 is an apocalyptic number.

14323931381809 is the 3784697-th square number.

14323931381809 is the 1892349-th centered octagonal number.

It is an amenable number.

14323931381809 is a deficient number, since it is larger than the sum of its proper divisors (3163133276072).

14323931381809 is an frugal number, since it uses more digits than its factorization.

14323931381809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 55.

The spelling of 14323931381809 in words is "fourteen trillion, three hundred twenty-three billion, nine hundred thirty-one million, three hundred eighty-one thousand, eight hundred nine".

Divisors: 1 7 31 49 107 163 217 749 961 1141 1519 3317 5053 5243 6727 7987 11449 17441 23219 26569 35371 47089 80143 102827 122087 156643 162533 185983 247597 354919 540671 561001 719789 823639 854609 1096501 1301881 1866187 2484433 2842883 3784697 5038523 5765473 7675507 11002489 13063309 16760801 17391031 19900181 25532809 26492879 40358311 57851797 77017423 88129373 91443163 117325607 139301267 178729663 304188481 404962579 539121961 616905611 821279249 1251107641 1793405707 2129319367 2732010563 2834738053 4318339277 9429842911 12553839949 14905235569 19124073941 66008900377 87876879643 133868517587 292325130241 462062302639 2046275911687 14323931381809