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40649308512 = 2537111934999
BaseRepresentation
bin100101110110111000…
…110011100101100000
310212220220211211022220
4211312320303211200
51131222210333022
630401331431040
72636220264351
oct456670634540
9125826754286
1040649308512
111626a52514a
127a65455480
133aaa753897
141d7890bd28
1510cd9e485c
hex976e33960

40649308512 has 96 divisors (see below), whose sum is σ = 108319680000. Its totient is φ = 13345059840.

The previous prime is 40649308463. The next prime is 40649308577. The reversal of 40649308512 is 21580394604.

40649308512 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 congruent number.

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, 8128989 + ... + 8133987.

It is an arithmetic number, because the mean of its divisors is an integer number (1128330000).

Almost surely, 240649308512 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 40649308512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54159840000).

40649308512 is an abundant number, since it is smaller than the sum of its proper divisors (67670371488).

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

40649308512 is a wasteful number, since it uses less digits than its factorization.

40649308512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6276 (or 6268 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 40649308512 in words is "forty billion, six hundred forty-nine million, three hundred eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1193 1704 2272 2386 3408 3579 4772 4999 6816 7158 9544 9998 14316 14997 19088 19996 28632 29994 38176 39992 57264 59988 79984 84703 114528 119976 159968 169406 239952 254109 338812 354929 479904 508218 677624 709858 1016436 1064787 1355248 1419716 2032872 2129574 2710496 2839432 4065744 4259148 5678864 5963807 8131488 8518296 11357728 11927614 17036592 17891421 23855228 34073184 35782842 47710456 71565684 95420912 143131368 190841824 286262736 423430297 572525472 846860594 1270290891 1693721188 2540581782 3387442376 5081163564 6774884752 10162327128 13549769504 20324654256 40649308512