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40022041320 = 23325111172337
BaseRepresentation
bin100101010001011111…
…111110001011101000
310211022012112100111200
4211101133332023220
51123431120310240
630215203124200
72614532511132
oct452137761350
9124265470450
1040022041320
1115a78443008
12790b373660
133a0a7cbb71
141d194a8052
1510938dc930
hex9517fe2e8

40022041320 has 48 divisors (see below), whose sum is σ = 130071635460. Its totient is φ = 10672544256.

The previous prime is 40022041307. The next prime is 40022041343. The reversal of 40022041320 is 2314022004.

40022041320 is a `hidden beast` number, since 400 + 220 + 41 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32766068196 + 7255973124 = 181014^2 + 85182^2 .

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 = 40022041293 and 40022041302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55585809 + ... + 55586528.

Almost surely, 240022041320 is an apocalyptic number.

40022041320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40022041320 is an abundant number, since it is smaller than the sum of its proper divisors (90049594140).

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

40022041320 is a wasteful number, since it uses less digits than its factorization.

40022041320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111172354 (or 111172347 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 40022041320 its reverse (2314022004), we get a palindrome (42336063324).

The spelling of 40022041320 in words is "forty billion, twenty-two million, forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 111172337 222344674 333517011 444689348 555861685 667034022 889378696 1000551033 1111723370 1334068044 1667585055 2001102066 2223446740 2668136088 3335170110 4002204132 4446893480 5002755165 6670340220 8004408264 10005510330 13340680440 20011020660 40022041320