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111417239440 = 24513208151481
BaseRepresentation
bin110011111000011111…
…1000010011110010000
3101122120212012012101201
41213300333002132100
53311140303130230
6123103454040544
711023010623603
oct1476077023620
9348525165351
10111417239440
1143285144081
12197154a9154
13a678003420
14556d50233a
152d717455ca
hex19f0fc2790

111417239440 has 80 divisors (see below), whose sum is σ = 279111104496. Its totient is φ = 41118105600.

The previous prime is 111417239431. The next prime is 111417239443. The reversal of 111417239440 is 44932714111.

It can be written as a sum of positive squares in 8 ways, for example, as 22972858624 + 88444380816 = 151568^2 + 297396^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 111417239440.

It is not an unprimeable number, because it can be changed into a prime (111417239443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2138500 + ... + 2189980.

Almost surely, 2111417239440 is an apocalyptic number.

111417239440 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 111417239440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139555552248).

111417239440 is an abundant number, since it is smaller than the sum of its proper divisors (167693865056).

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

111417239440 is a wasteful number, since it uses less digits than its factorization.

111417239440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53588 (or 53582 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 111417239440 in words is "one hundred eleven billion, four hundred seventeen million, two hundred thirty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 2081 4162 8324 10405 16648 20810 27053 33296 41620 51481 54106 83240 102962 108212 135265 166480 205924 216424 257405 270530 411848 432848 514810 541060 669253 823696 1029620 1082120 1338506 2059240 2164240 2677012 3346265 4118480 5354024 6692530 10708048 13385060 26770120 53540240 107131961 214263922 428527844 535659805 857055688 1071319610 1392715493 1714111376 2142639220 2785430986 4285278440 5570861972 6963577465 8570556880 11141723944 13927154930 22283447888 27854309860 55708619720 111417239440