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111437611040 = 2557214213981
BaseRepresentation
bin110011111001000110…
…0110000000000100000
3101122122021112011222102
41213302030300000200
53311211012023130
6123105502425532
711023346031200
oct1476214600040
9348567464872
10111437611040
1143295698608
12197202922a8
13a67c2b6a22
1455720c6400
152d7341b645
hex19f2330020

111437611040 has 72 divisors (see below), whose sum is σ = 306254456172. Its totient is φ = 38207178240.

The previous prime is 111437611001. The next prime is 111437611079. The reversal of 111437611040 is 40116734111.

It is an interprime number because it is at equal distance from previous prime (111437611001) and next prime (111437611079).

It can be written as a sum of positive squares in 2 ways, for example, as 94536571024 + 16901040016 = 307468^2 + 130004^2 .

It is a junction number, because it is equal to n+sod(n) for n = 111437610994 and 111437611012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7099151 + ... + 7114830.

Almost surely, 2111437611040 is an apocalyptic number.

111437611040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111437611040 is an abundant number, since it is smaller than the sum of its proper divisors (194816845132).

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

111437611040 is a wasteful number, since it uses less digits than its factorization.

111437611040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14214010 (or 14213995 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The spelling of 111437611040 in words is "one hundred eleven billion, four hundred thirty-seven million, six hundred eleven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 14213981 28427962 56855924 71069905 99497867 113711848 142139810 198995734 227423696 284279620 397991468 454847392 497489335 568559240 696485069 795982936 994978670 1137118480 1392970138 1591965872 1989957340 2274236960 2785940276 3183931744 3482425345 3979914680 5571880552 6964850690 7959829360 11143761104 13929701380 15919658720 22287522208 27859402760 55718805520 111437611040