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40112422800 = 2435260155619
BaseRepresentation
bin100101010110111000…
…101111111110010000
310211112111121012120220
4211112320233332100
51124122240012200
630232152233040
72620010653032
oct452670577620
9124474535526
1040112422800
1116014464a4a
12793569b780
133a23455628
141d274b3c52
15109b7e24a0
hex956e2ff90

40112422800 has 120 divisors (see below), whose sum is σ = 128709574560. Its totient is φ = 10678656000.

The previous prime is 40112422799. The next prime is 40112422829. The reversal of 40112422800 is 822421104.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 693391 + ... + 749009.

It is an arithmetic number, because the mean of its divisors is an integer number (1072579788).

Almost surely, 240112422800 is an apocalyptic number.

40112422800 is a gapful number since it is divisible by the number (40) 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 40112422800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64354787280).

40112422800 is an abundant number, since it is smaller than the sum of its proper divisors (88597151760).

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

40112422800 is a wasteful number, since it uses less digits than its factorization.

40112422800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56241 (or 56230 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 40112422800 its reverse (822421104), we get a palindrome (40934843904).

The spelling of 40112422800 in words is "forty billion, one hundred twelve million, four hundred twenty-two thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 601 1200 1202 1803 2404 3005 3606 4808 6010 7212 9015 9616 12020 14424 15025 18030 24040 28848 30050 36060 45075 48080 55619 60100 72120 90150 111238 120200 144240 166857 180300 222476 240400 278095 333714 360600 444952 556190 667428 721200 834285 889904 1112380 1334856 1390475 1668570 2224760 2669712 2780950 3337140 4171425 4449520 5561900 6674280 8342850 11123800 13348560 16685700 22247600 33371400 33427019 66742800 66854038 100281057 133708076 167135095 200562114 267416152 334270190 401124228 501405285 534832304 668540380 802248456 835675475 1002810570 1337080760 1604496912 1671350950 2005621140 2507026425 2674161520 3342701900 4011242280 5014052850 6685403800 8022484560 10028105700 13370807600 20056211400 40112422800