Search a number
-
+
40031545443312 = 24313913994288729
BaseRepresentation
bin10010001101000100100100…
…00010111100001111110000
312020201222102020020120100210
421012202102002330033300
520221334101113141222
6221050123232344120
711301120004636143
oct1106422202741760
9166658366216323
1040031545443312
1111834312867585
1245a646b6a5040
131944c5cba3157
149c5773c9605a
154964a4369d0c
hex2468920bc3f0

40031545443312 has 80 divisors (see below), whose sum is σ = 104233293920000. Its totient is φ = 13238376970752.

The previous prime is 40031545443251. The next prime is 40031545443317. The reversal of 40031545443312 is 21334454513004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40031545443317) 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, 7189764 + ... + 11478492.

It is an arithmetic number, because the mean of its divisors is an integer number (1302916174000).

Almost surely, 240031545443312 is an apocalyptic number.

It is an amenable number.

40031545443312 is an abundant number, since it is smaller than the sum of its proper divisors (64201748476688).

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

40031545443312 is a wasteful number, since it uses less digits than its factorization.

40031545443312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4290278 (or 4290272 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 40031545443312 its reverse (21334454513004), we get a palindrome (61365999956316).

The spelling of 40031545443312 in words is "forty trillion, thirty-one billion, five hundred forty-five million, four hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 139 278 417 556 834 1112 1399 1668 2224 2798 3336 4197 5596 6672 8394 11192 16788 22384 33576 67152 194461 388922 583383 777844 1166766 1555688 2333532 3111376 4288729 4667064 8577458 9334128 12866187 17154916 25732374 34309832 51464748 68619664 102929496 205858992 596133331 1192266662 1788399993 2384533324 3576799986 4769066648 5999931871 7153599972 9538133296 11999863742 14307199944 17999795613 23999727484 28614399888 35999591226 47999454968 71999182452 95998909936 143998364904 287996729808 833990530069 1667981060138 2501971590207 3335962120276 5003943180414 6671924240552 10007886360828 13343848481104 20015772721656 40031545443312