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111355040440 = 2357508778179
BaseRepresentation
bin110011110110101000…
…1110001001010111000
3101122102112011011102001
41213231101301022320
53311023342243230
6123053352550344
711021324140450
oct1475521611270
9348375134361
10111355040440
1143253021046
12196b86b23b4
13a668166597
145565150d60
152d6b05b0ca
hex19ed4712b8

111355040440 has 64 divisors (see below), whose sum is σ = 286401484800. Its totient is φ = 38170877568.

The previous prime is 111355040393. The next prime is 111355040441. The reversal of 111355040440 is 44040553111.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 111355040399 and 111355040408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111355040441) 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, 1385271 + ... + 1463449.

It is an arithmetic number, because the mean of its divisors is an integer number (4475023200).

Almost surely, 2111355040440 is an apocalyptic number.

111355040440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111355040440 is an abundant number, since it is smaller than the sum of its proper divisors (175046444360).

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

111355040440 is a wasteful number, since it uses less digits than its factorization.

111355040440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83284 (or 83280 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 111355040440 its reverse (44040553111), we get a palindrome (155395593551).

The spelling of 111355040440 in words is "one hundred eleven billion, three hundred fifty-five million, forty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 5087 10174 20348 25435 35609 40696 50870 71218 78179 101740 142436 156358 178045 203480 284872 312716 356090 390895 547253 625432 712180 781790 1094506 1424360 1563580 2189012 2736265 3127160 4378024 5472530 10945060 21890120 397696573 795393146 1590786292 1988482865 2783876011 3181572584 3976965730 5567752022 7953931460 11135504044 13919380055 15907862920 22271008088 27838760110 55677520220 111355040440