Search a number
-
+
13452111315405 = 335771823243613
BaseRepresentation
bin1100001111000001000001…
…0100010000000111001101
31202122000020202201000011000
43003300100110100013031
53230344410444043110
644335451543050513
72555611600360560
oct303602024200715
952560222630130
1013452111315405
114317010161704
121613138a40a39
137676b45b6819
1434712b0ac4d7
15184dc0e751c0
hexc3c105101cd

13452111315405 has 128 divisors (see below), whose sum is σ = 27750012272640. Its totient is φ = 6055531695360.

The previous prime is 13452111315323. The next prime is 13452111315407. The reversal of 13452111315405 is 50451311125431.

13452111315405 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 211 + 1 + 31 + 5 + 405 = 666.

It is not a de Polignac number, because 13452111315405 - 219 = 13452110791117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13452111315405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13452111315407) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55097379 + ... + 55340991.

It is an arithmetic number, because the mean of its divisors is an integer number (216796970880).

Almost surely, 213452111315405 is an apocalyptic number.

13452111315405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13452111315405 is an abundant number, since it is smaller than the sum of its proper divisors (14297900957235).

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

13452111315405 is a wasteful number, since it uses less digits than its factorization.

13452111315405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244528 (or 244522 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 13452111315405 in words is "thirteen trillion, four hundred fifty-two billion, one hundred eleven million, three hundred fifteen thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 71 105 135 189 213 315 355 497 639 823 945 1065 1491 1917 2469 2485 3195 4115 4473 5761 7407 7455 9585 12345 13419 17283 22221 22365 28805 37035 51849 58433 67095 86415 111105 155547 175299 243613 259245 292165 409031 525897 730839 777735 876495 1218065 1227093 1577691 1705291 2045155 2192517 2629485 3654195 3681279 5115873 6135465 6577551 7888455 8526455 10962585 11043837 15347619 17296523 18406395 25579365 32887755 46042857 51889569 55219185 76738095 86482615 121075661 155668707 200493499 230214285 259447845 363226983 467006121 601480497 605378305 778343535 1002467495 1089680949 1403454493 1804441491 1816134915 2335030605 3007402485 3269042847 4210363479 5413324473 5448404745 7017272465 9022207455 12631090437 14235038429 16345214235 21051817395 27066622365 37893271311 42705115287 63155452185 71175192145 99645269003 128115345861 189466356555 213525576435 298935807009 384346037583 498226345015 640576729305 896807421027 1494679035045 1921730187915 2690422263081 4484037105135 13452111315405