Search a number
-
+
40402082016 = 25355195741
BaseRepresentation
bin100101101000001001…
…101101100011100000
310212021200122102100000
4211220021231203200
51130220413111031
630321020500000
72630126013402
oct455011554340
9125250572300
1040402082016
1116152a1622a
1279b66aa600
133a6b47270a
141d53b54b72
1510b6e5c3e6
hex96826d8e0

40402082016 has 72 divisors (see below), whose sum is σ = 119148755544. Its totient is φ = 13467358080.

The previous prime is 40402081999. The next prime is 40402082051. The reversal of 40402082016 is 61028020404.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2590095 + ... + 2605646.

It is an arithmetic number, because the mean of its divisors is an integer number (1654843827).

Almost surely, 240402082016 is an apocalyptic number.

It is an amenable number.

40402082016 is an abundant number, since it is smaller than the sum of its proper divisors (78746673528).

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

40402082016 is an equidigital number, since it uses as much as digits as its factorization.

40402082016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5195766 (or 5195746 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 40402082016 in words is "forty billion, four hundred two million, eighty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 5195741 10391482 15587223 20782964 31174446 41565928 46761669 62348892 83131856 93523338 124697784 140285007 166263712 187046676 249395568 280570014 374093352 420855021 498791136 561140028 748186704 841710042 1122280056 1262565063 1496373408 1683420084 2244560112 2525130126 3366840168 4489120224 5050260252 6733680336 10100520504 13467360672 20201041008 40402082016