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111225078440 = 23572359158071
BaseRepresentation
bin110011110010110001…
…0000000001010101000
3101122002110121102001122
41213211202000022220
53310242110002230
6123032431234412
711015155365500
oct1474542001250
9348073542048
10111225078440
1143196725733
1219681078a08
13a6472621a8
145551ba0a00
152d5e938be5
hex19e58802a8

111225078440 has 96 divisors (see below), whose sum is σ = 291927369600. Its totient is φ = 38027848320.

The previous prime is 111225078409. The next prime is 111225078449. The reversal of 111225078440 is 44870522111.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 111225078440.

It is not an unprimeable number, because it can be changed into a prime (111225078449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 624605 + ... + 782675.

It is an arithmetic number, because the mean of its divisors is an integer number (3040910100).

Almost surely, 2111225078440 is an apocalyptic number.

111225078440 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 111225078440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145963684800).

111225078440 is an abundant number, since it is smaller than the sum of its proper divisors (180702291160).

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

111225078440 is a wasteful number, since it uses less digits than its factorization.

111225078440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158455 (or 158444 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The spelling of 111225078440 in words is "one hundred eleven billion, two hundred twenty-five million, seventy-eight thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 359 392 490 718 980 1436 1795 1960 2513 2872 3590 5026 7180 10052 12565 14360 17591 20104 25130 35182 50260 70364 87955 100520 140728 158071 175910 316142 351820 632284 703640 790355 1106497 1264568 1580710 2212994 3161420 4425988 5532485 6322840 7745479 8851976 11064970 15490958 22129940 30981916 38727395 44259880 56747489 61963832 77454790 113494978 154909580 226989956 283737445 309819160 397232423 453979912 567474890 794464846 1134949780 1588929692 1986162115 2269899560 2780626961 3177859384 3972324230 5561253922 7944648460 11122507844 13903134805 15889296920 22245015688 27806269610 55612539220 111225078440