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114425052144234 = 231319148193521009
BaseRepresentation
bin11010000001000110101000…
…100101100010001001101010
3120000010221001121211122021220
4122001012220211202021222
5104444220001322103414
61043210050540242510
733046636314243246
oct3201065045421152
9500127047748256
10114425052144234
1133506434975997
1210a00412540436
134bb030b99aac0
1420382b86c1426
15d366d1638ca9
hex6811a896226a

114425052144234 has 64 divisors (see below), whose sum is σ = 259427467958400. Its totient is φ = 33354381975552.

The previous prime is 114425052144209. The next prime is 114425052144283. The reversal of 114425052144234 is 432441250524411.

114425052144234 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1144250521442343 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 219361522 + ... + 219882530.

It is an arithmetic number, because the mean of its divisors is an integer number (4053554186850).

Almost surely, 2114425052144234 is an apocalyptic number.

114425052144234 is an abundant number, since it is smaller than the sum of its proper divisors (145002415814166).

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

114425052144234 is a wasteful number, since it uses less digits than its factorization.

114425052144234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669239.

The product of its (nonzero) digits is 614400, while the sum is 42.

The spelling of 114425052144234 in words is "one hundred fourteen trillion, four hundred twenty-five billion, fifty-two million, one hundred forty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 494 741 1482 148193 296386 444579 521009 889158 1042018 1563027 1926509 2815667 3126054 3853018 5631334 5779527 6773117 8447001 9899171 11559054 13546234 16894002 19798342 20319351 29697513 36603671 40638702 59395026 73207342 109811013 128689223 219622026 257378446 386067669 772135338 77209886737 154419773474 231629660211 463259320422 1003728527581 1466987848003 2007457055162 2933975696006 3011185582743 4400963544009 6022371165486 8801927088018 19070842024039 38141684048078 57212526072117 114425052144234