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111410121440 = 2557131331333
BaseRepresentation
bin110011111000010001…
…1111000101011100000
3101122120100210120100002
41213300203320223200
53311131442341230
6123103041315132
711022563256452
oct1476043705340
9348510716302
10111410121440
1143281122232
1219713035aa8
13a6766b05a7
14556c5ac2d2
152d70cdb545
hex19f08f8ae0

111410121440 has 96 divisors (see below), whose sum is σ = 267774849216. Its totient is φ = 43794616320.

The previous prime is 111410121397. The next prime is 111410121491. The reversal of 111410121440 is 44121014111.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 3540014 + ... + 3571346.

It is an arithmetic number, because the mean of its divisors is an integer number (2789321346).

Almost surely, 2111410121440 is an apocalyptic number.

111410121440 is a gapful number since it is divisible by the number (10) 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 111410121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133887424608).

111410121440 is an abundant number, since it is smaller than the sum of its proper divisors (156364727776).

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

111410121440 is a wasteful number, since it uses less digits than its factorization.

111410121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31732 (or 31724 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 111410121440 its reverse (44121014111), we get a palindrome (155531135551).

The spelling of 111410121440 in words is "one hundred eleven billion, four hundred ten million, one hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 313 355 568 626 710 1136 1252 1420 1565 2272 2504 2840 3130 5008 5680 6260 10016 11360 12520 22223 25040 31333 44446 50080 62666 88892 111115 125332 156665 177784 222230 250664 313330 355568 444460 501328 626660 711136 888920 1002656 1253320 1777840 2224643 2506640 3555680 4449286 5013280 8898572 9807229 11123215 17797144 19614458 22246430 35594288 39228916 44492860 49036145 71188576 78457832 88985720 98072290 156915664 177971440 196144580 313831328 355942880 392289160 696313259 784578320 1392626518 1569156640 2785253036 3481566295 5570506072 6963132590 11141012144 13926265180 22282024288 27852530360 55705060720 111410121440