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40020232320 = 273256947957
BaseRepresentation
bin100101010001011001…
…000100100010000000
310211022002010110000200
4211101121010202000
51123430134413240
630215100245200
72614511235105
oct452131044200
9124262113020
1040020232320
1115a77417972
12790a840800
133a0a317653
141d19156aac
151093681930
hex951644880

40020232320 has 96 divisors (see below), whose sum is σ = 138194884620. Its totient is φ = 10672060416.

The previous prime is 40020232297. The next prime is 40020232327. The reversal of 40020232320 is 2323202004.

40020232320 is a `hidden beast` number, since 400 + 2 + 0 + 232 + 32 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37800691776 + 2219540544 = 194424^2 + 47112^2 .

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 40020232293 and 40020232302.

It is not an unprimeable number, because it can be changed into a prime (40020232327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3468219 + ... + 3479738.

Almost surely, 240020232320 is an apocalyptic number.

40020232320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40020232320 is an abundant number, since it is smaller than the sum of its proper divisors (98174652300).

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

40020232320 is a wasteful number, since it uses less digits than its factorization.

40020232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6947982 (or 6947967 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 40020232320 its reverse (2323202004), we get a palindrome (42343434324).

The spelling of 40020232320 in words is "forty billion, twenty million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 6947957 13895914 20843871 27791828 34739785 41687742 55583656 62531613 69479570 83375484 104219355 111167312 125063226 138959140 166750968 208438710 222334624 250126452 277918280 312658065 333501936 416877420 444669248 500252904 555836560 625316130 667003872 833754840 889338496 1000505808 1111673120 1250632260 1334007744 1667509680 2001011616 2223346240 2501264520 2668015488 3335019360 4002023232 4446692480 5002529040 6670038720 8004046464 10005058080 13340077440 20010116160 40020232320