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114743125885374 = 23471931656131657
BaseRepresentation
bin11010000101101110110111…
…010000100100000110111110
3120001021100001201200211220000
4122011232313100210012332
5110014422410211312444
61044012133032335130
733111626424365520
oct3205566720440676
9501240051624800
10114743125885374
1133619317240438
1210a51ba08444a6
134c042cc0a859c
14204984dd67a10
15d3eaea8ba469
hex685bb74241be

114743125885374 has 160 divisors (see below), whose sum is σ = 295389189391296. Its totient is φ = 32610886778880.

The previous prime is 114743125885369. The next prime is 114743125885397. The reversal of 114743125885374 is 473588521347411.

114743125885374 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 4 + 3 + 1 + 258 + 8 + 5 + 374 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3624557754 + ... + 3624589410.

Almost surely, 2114743125885374 is an apocalyptic number.

114743125885374 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114743125885374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147694594695648).

114743125885374 is an abundant number, since it is smaller than the sum of its proper divisors (180646063505922).

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

114743125885374 is a wasteful number, since it uses less digits than its factorization.

114743125885374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48432 (or 48423 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 63.

The spelling of 114743125885374 in words is "one hundred fourteen trillion, seven hundred forty-three billion, one hundred twenty-five million, eight hundred eighty-five thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 193 378 386 567 579 1134 1158 1351 1737 2702 3474 4053 5211 8106 10422 12159 15633 16561 24318 31266 31657 33122 36477 49683 63314 72954 94971 99366 109431 115927 149049 189942 218862 221599 231854 284913 298098 347781 443198 447147 569826 664797 695562 854739 894294 1043343 1329594 1341441 1709478 1994391 2086686 2564217 2682882 3130029 3196273 3988782 5128434 5983173 6109801 6260058 6392546 9390087 9588819 11966346 12219602 17949519 18329403 18780174 19177638 22373911 28766457 35899038 36658806 42768607 44747822 54988209 57532914 67121733 85537214 86299371 109976418 128305821 134243466 164964627 172598742 201365199 256611642 258898113 329929254 384917463 402730398 494893881 517796226 524271577 604095597 769834926 989787762 1048543154 1154752389 1208191194 1572814731 1812286791 2309504778 3145629462 3464257167 3624573582 3669901039 4718444193 6928514334 7339802078 9436888386 11009703117 14155332579 22019406234 28310665158 33029109351 42465997737 66058218702 84931995474 99087328053 101184414361 198174656106 202368828722 297261984159 303553243083 594523968318 607106486166 708290900527 910659729249 1416581801054 1821319458498 2124872701581 2731979187747 4249745403162 5463958375494 6374618104743 8195937563241 12749236209486 16391875126482 19123854314229 38247708628458 57371562942687 114743125885374