Search a number
-
+
40523520324 = 22372335359419
BaseRepresentation
bin100101101111011000…
…111101100101000100
310212121011011010101010
4211233120331211010
51130443010122244
630341035402220
72633132145060
oct455730754504
9125534133333
1040523520324
111620551a671
127a2b2b3370
133a8a6811c1
141d65d26aa0
1510c2948eb9
hex96f63d944

40523520324 has 96 divisors (see below), whose sum is σ = 113082439680. Its totient is φ = 11043191808.

The previous prime is 40523520253. The next prime is 40523520379. The reversal of 40523520324 is 42302532504.

It is a junction number, because it is equal to n+sod(n) for n = 40523520291 and 40523520300.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 652287 + ... + 711705.

It is an arithmetic number, because the mean of its divisors is an integer number (1177942080).

Almost surely, 240523520324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40523520324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56541219840).

40523520324 is an abundant number, since it is smaller than the sum of its proper divisors (72558919356).

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

40523520324 is a wasteful number, since it uses less digits than its factorization.

40523520324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59809 (or 59807 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The spelling of 40523520324 in words is "forty billion, five hundred twenty-three million, five hundred twenty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 353 483 644 706 966 1059 1412 1932 2118 2471 4236 4942 7413 8119 9884 14826 16238 24357 29652 32476 48714 56833 59419 97428 113666 118838 170499 178257 227332 237676 340998 356514 415933 681996 713028 831866 1247799 1366637 1663732 2495598 2733274 4099911 4991196 5466548 8199822 9566459 16399644 19132918 20974907 28699377 38265836 41949814 57398754 62924721 83899628 114797508 125849442 146824349 251698884 293648698 440473047 482422861 587297396 880946094 964845722 1447268583 1761892188 1929691444 2894537166 3376960027 5789074332 6753920054 10130880081 13507840108 20261760162 40523520324