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40035953808 = 24331315931193
BaseRepresentation
bin100101010010010101…
…000010110010010000
310211100011201011212000
4211102111002302100
51123443201010213
630220421234000
72615061664254
oct452225026220
9124304634760
1040035953808
1115a85285734
127913b62900
133a106604c6
141d1b28a264
151094c39c73
hex952542c90

40035953808 has 160 divisors (see below), whose sum is σ = 116087748480. Its totient is φ = 13210030080.

The previous prime is 40035953807. The next prime is 40035953813. The reversal of 40035953808 is 80835953004.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40035953801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33558460 + ... + 33559652.

It is an arithmetic number, because the mean of its divisors is an integer number (725548428).

Almost surely, 240035953808 is an apocalyptic number.

40035953808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40035953808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58043874240).

40035953808 is an abundant number, since it is smaller than the sum of its proper divisors (76051794672).

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

40035953808 is a wasteful number, since it uses less digits than its factorization.

40035953808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 40035953808 in words is "forty billion, thirty-five million, nine hundred fifty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 131 144 216 262 393 432 524 593 786 1048 1179 1186 1193 1572 1779 2096 2358 2372 2386 3144 3537 3558 3579 4716 4744 4772 5337 6288 7074 7116 7158 9432 9488 9544 10674 10737 14148 14232 14316 16011 18864 19088 21348 21474 28296 28464 28632 32022 32211 42696 42948 56592 57264 64044 64422 77683 85392 85896 128088 128844 155366 156283 171792 233049 256176 257688 310732 312566 466098 468849 515376 621464 625132 699147 707449 932196 937698 1242928 1250264 1398294 1406547 1414898 1864392 1875396 2097441 2122347 2500528 2796588 2813094 2829796 3728784 3750792 4194882 4219641 4244694 5593176 5626188 5659592 6367041 7501584 8389764 8439282 8489388 11186352 11252376 11319184 12734082 16779528 16878564 16978776 19101123 22504752 25468164 33559056 33757128 33957552 38202246 50936328 67514256 76404492 92675819 101872656 152808984 185351638 278027457 305617968 370703276 556054914 741406552 834082371 1112109828 1482813104 1668164742 2224219656 2502247113 3336329484 4448439312 5004494226 6672658968 10008988452 13345317936 20017976904 40035953808