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40122244320 = 2535167500527
BaseRepresentation
bin100101010111011110…
…001101110011100000
310211120012002012011220
4211113132031303200
51124132243304240
630233142535040
72620160310144
oct452736156340
9124505065156
1040122244320
1116019a63004
127938a37480
133a254b3b92
141d2890d224
15109c5d25d0
hex95778dce0

40122244320 has 96 divisors (see below), whose sum is σ = 127142120448. Its totient is φ = 10635176448.

The previous prime is 40122244313. The next prime is 40122244321. The reversal of 40122244320 is 2344222104.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40122244321) 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, 170104 + ... + 330423.

It is an arithmetic number, because the mean of its divisors is an integer number (1324397088).

Almost surely, 240122244320 is an apocalyptic number.

40122244320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40122244320 is an abundant number, since it is smaller than the sum of its proper divisors (87019876128).

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

40122244320 is a wasteful number, since it uses less digits than its factorization.

40122244320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500712 (or 500704 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40122244320 its reverse (2344222104), we get a palindrome (42466466424).

The spelling of 40122244320 in words is "forty billion, one hundred twenty-two million, two hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 167 240 334 480 501 668 835 1002 1336 1670 2004 2505 2672 3340 4008 5010 5344 6680 8016 10020 13360 16032 20040 26720 40080 80160 500527 1001054 1501581 2002108 2502635 3003162 4004216 5005270 6006324 7507905 8008432 10010540 12012648 15015810 16016864 20021080 24025296 30031620 40042160 48050592 60063240 80084320 83588009 120126480 167176018 240252960 250764027 334352036 417940045 501528054 668704072 835880090 1003056108 1253820135 1337408144 1671760180 2006112216 2507640270 2674816288 3343520360 4012224432 5015280540 6687040720 8024448864 10030561080 13374081440 20061122160 40122244320