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40990524064 = 2571276732141
BaseRepresentation
bin100110001011001110…
…011100001010100000
310220210200220101001221
4212023032130022200
51132422033232224
630455241104424
72650532464030
oct461316341240
9126720811057
1040990524064
111642509a476
127b3b788114
133b33352589
141dabd6d8c0
1510ed9456e4
hex98b39c2a0

40990524064 has 96 divisors (see below), whose sum is σ = 93136490496. Its totient is φ = 17395015680.

The previous prime is 40990524041. The next prime is 40990524079. The reversal of 40990524064 is 46042509904.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 40990524064.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19144434 + ... + 19146574.

It is an arithmetic number, because the mean of its divisors is an integer number (970171776).

Almost surely, 240990524064 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 40990524064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46568245248).

40990524064 is an abundant number, since it is smaller than the sum of its proper divisors (52145966432).

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

40990524064 is a wasteful number, since it uses less digits than its factorization.

40990524064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 40990524064 in words is "forty billion, nine hundred ninety million, five hundred twenty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 127 224 254 508 673 889 1016 1346 1778 2032 2141 2692 3556 4064 4282 4711 5384 7112 8564 9422 10768 14224 14987 17128 18844 21536 28448 29974 34256 37688 59948 68512 75376 85471 119896 150752 170942 239792 271907 341884 479584 543814 598297 683768 1087628 1196594 1367536 1440893 1903349 2175256 2393188 2735072 2881786 3806698 4350512 4786376 5763572 7613396 8701024 9572752 10086251 11527144 15226792 19145504 20172502 23054288 30453584 40345004 46108576 60907168 80690008 161380016 182993411 322760032 365986822 731973644 1280953877 1463947288 2561907754 2927894576 5123815508 5855789152 10247631016 20495262032 40990524064