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40499256864 = 2531197395377
BaseRepresentation
bin100101101101111100…
…011001111000100000
310212112110111102011110
4211231330121320200
51130420302204424
630334411343320
72632416001113
oct455574317040
9125473442143
1040499256864
11161a2858120
127a23151b40
133a85637321
141d62a0c57a
1510c0754c29
hex96df19e20

40499256864 has 96 divisors (see below), whose sum is σ = 117171061056. Its totient is φ = 12145950720.

The previous prime is 40499256829. The next prime is 40499256881. The reversal of 40499256864 is 46865299404.

40499256864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×404992568643 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

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, 95257 + ... + 300120.

It is an arithmetic number, because the mean of its divisors is an integer number (1220531886).

Almost surely, 240499256864 is an apocalyptic number.

40499256864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40499256864 is an abundant number, since it is smaller than the sum of its proper divisors (76671804192).

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

40499256864 is a wasteful number, since it uses less digits than its factorization.

40499256864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395498 (or 395490 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 40499256864 in words is "forty billion, four hundred ninety-nine million, two hundred fifty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 97 132 176 194 264 291 352 388 528 582 776 1056 1067 1164 1552 2134 2328 3104 3201 4268 4656 6402 8536 9312 12804 17072 25608 34144 51216 102432 395377 790754 1186131 1581508 2372262 3163016 4349147 4744524 6326032 8698294 9489048 12652064 13047441 17396588 18978096 26094882 34793176 37956192 38351569 52189764 69586352 76703138 104379528 115054707 139172704 153406276 208759056 230109414 306812552 417518112 421867259 460218828 613625104 843734518 920437656 1227250208 1265601777 1687469036 1840875312 2531203554 3374938072 3681750624 5062407108 6749876144 10124814216 13499752288 20249628432 40499256864