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40220013024 = 253359788999
BaseRepresentation
bin100101011101010011…
…001011000111100000
310211211000001100122000
4211131103023013200
51124332310404044
630250554244000
72622455320122
oct453523130740
9124730040560
1040220013024
111606a170094
127965726600
133a3c825b99
141d378bd212
1510a5e95d69
hex95d4cb1e0

40220013024 has 96 divisors (see below), whose sum is σ = 119296800000. Its totient is φ = 13179422592.

The previous prime is 40220013019. The next prime is 40220013079. The reversal of 40220013024 is 42031002204.

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 = 40220012988 and 40220013006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343524 + ... + 445475.

It is an arithmetic number, because the mean of its divisors is an integer number (1242675000).

Almost surely, 240220013024 is an apocalyptic number.

It is an amenable number.

40220013024 is an abundant number, since it is smaller than the sum of its proper divisors (79076786976).

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

40220013024 is a wasteful number, since it uses less digits than its factorization.

40220013024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789077 (or 789063 counting only the distinct ones).

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

Adding to 40220013024 its reverse (42031002204), we get a palindrome (82251015228).

The spelling of 40220013024 in words is "forty billion, two hundred twenty million, thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 96 108 118 144 177 216 236 288 354 432 472 531 708 864 944 1062 1416 1593 1888 2124 2832 3186 4248 5664 6372 8496 12744 16992 25488 50976 788999 1577998 2366997 3155996 4733994 6311992 7100991 9467988 12623984 14201982 18935976 21302973 25247968 28403964 37871952 42605946 46550941 56807928 75743904 85211892 93101882 113615856 139652823 170423784 186203764 227231712 279305646 340847568 372407528 418958469 558611292 681695136 744815056 837916938 1117222584 1256875407 1489630112 1675833876 2234445168 2513750814 3351667752 4468890336 5027501628 6703335504 10055003256 13406671008 20110006512 40220013024