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114011503403232 = 25313124337372511
BaseRepresentation
bin11001111011000101011111…
…001010010010000011100000
3112221200101121200220220200210
4121323011133022102003200
5104420431024332400412
61042252054523414120
733005026224035511
oct3173053712220340
9487611550826623
10114011503403232
1133367009440986
1210954239984340
134b8031439b666
142022286d50a08
15d2aa7a54883c
hex67b15f2920e0

114011503403232 has 96 divisors (see below), whose sum is σ = 301577978870784. Its totient is φ = 37712077977600.

The previous prime is 114011503403219. The next prime is 114011503403243. The reversal of 114011503403232 is 232304305110411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 114011503403232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305875857 + ... + 306248367.

It is an arithmetic number, because the mean of its divisors is an integer number (3141437279904).

Almost surely, 2114011503403232 is an apocalyptic number.

114011503403232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114011503403232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150788989435392).

114011503403232 is an abundant number, since it is smaller than the sum of its proper divisors (187566475467552).

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

114011503403232 is a wasteful number, since it uses less digits than its factorization.

114011503403232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396992 (or 396984 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 114011503403232 its reverse (232304305110411), we get a palindrome (346315808513643).

The spelling of 114011503403232 in words is "one hundred fourteen trillion, eleven billion, five hundred three million, four hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 1048 1572 2096 3144 4192 6288 12576 24337 48674 73011 97348 146022 194696 292044 372511 389392 584088 745022 778784 1117533 1168176 1490044 2235066 2336352 2980088 3188147 4470132 5960176 6376294 8940264 9564441 11920352 12752588 17880528 19128882 25505176 35761056 38257764 48798941 51010352 76515528 97597882 102020704 146396823 153031056 195195764 292793646 306062112 390391528 585587292 780783056 1171174584 1561566112 2342349168 4684698336 9065800207 18131600414 27197400621 36263200828 54394801242 72526401656 108789602484 145052803312 217579204968 290105606624 435158409936 870316819872 1187619827117 2375239654234 3562859481351 4750479308468 7125718962702 9500958616936 14251437925404 19001917233872 28502875850808 38003834467744 57005751701616 114011503403232