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12340414524114 = 2342311331792459
BaseRepresentation
bin1011001110010011101000…
…0001100010101011010010
31121200201202201001200020000
42303210322001202223102
53104141132104232424
642125035210430430
72412364655511645
oct263447201425322
947621681050200
1012340414524114
113a285a4315256
1214737a3a32416
136b6908429191
143093ca393a5c
151660086983c9
hexb393a062ad2

12340414524114 has 160 divisors (see below), whose sum is σ = 29201403623040. Its totient is φ = 3887460960768.

The previous prime is 12340414524107. The next prime is 12340414524143. The reversal of 12340414524114 is 41142541404321.

12340414524114 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 0 + 4 + 14 + 524 + 114 = 666.

It is a super-2 number, since 2×123404145241142 (a number of 27 digits) contains 22 as substring.

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, 133422817 + ... + 133515275.

It is an arithmetic number, because the mean of its divisors is an integer number (182508772644).

Almost surely, 212340414524114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12340414524114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14600701811520).

12340414524114 is an abundant number, since it is smaller than the sum of its proper divisors (16860989098926).

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

12340414524114 is a wasteful number, since it uses less digits than its factorization.

12340414524114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92926 (or 92917 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 12340414524114 its reverse (41142541404321), we get a palindrome (53482955928435).

The spelling of 12340414524114 in words is "twelve trillion, three hundred forty billion, four hundred fourteen million, five hundred twenty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 113 138 162 207 226 317 339 414 621 634 678 951 1017 1242 1863 1902 2034 2599 2853 3051 3726 5198 5706 6102 7291 7797 8559 9153 14582 15594 17118 18306 21873 23391 25677 35821 43746 46782 51354 65619 70173 71642 92459 107463 131238 140346 184918 196857 210519 214926 277377 322389 393714 421038 554754 590571 644778 823883 832131 967167 1181142 1647766 1664262 1934334 2126557 2471649 2496393 2901501 4253114 4943298 4992786 5803002 6379671 7414947 7489179 10447867 12759342 14829894 14978358 19139013 20895734 22244841 29309503 31343601 38278026 44489682 57417039 58619006 62687202 66734523 87928509 94030803 114834078 133469046 172251117 175857018 188061606 240300941 263785527 282092409 344502234 480601882 527571054 564184818 674118569 720902823 791356581 846277227 1348237138 1441805646 1582713162 1692554454 2022355707 2162708469 2374069743 3311973839 4044711414 4325416938 4748139486 6067067121 6488125407 6623947678 9935921517 12134134242 12976250814 18201201363 19464376221 19871843034 29807764551 36402402726 38928752442 54603604089 59615529102 76175398297 89423293653 109207208178 152350796594 178846587306 228526194891 268269880959 457052389782 536539761918 685578584673 1371157169346 2056735754019 4113471508038 6170207262057 12340414524114