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9404138432 = 2613231134349
BaseRepresentation
bin10001100001000011…
…11100001111000000
3220021101112201201102
420300201330033000
5123224424412212
64153055153532
7452020600133
oct106041741700
926241481642
109404138432
113a96433437
1219a55158a8
13b6b410470
14652d7621a
153a090b5c2
hex23087c3c0

9404138432 has 112 divisors (see below), whose sum is σ = 21161044800. Its totient is φ = 4113973248.

The previous prime is 9404138417. The next prime is 9404138461. The reversal of 9404138432 is 2348314049.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2160194 + ... + 2164542.

It is an arithmetic number, because the mean of its divisors is an integer number (188937900).

Almost surely, 29404138432 is an apocalyptic number.

9404138432 is a gapful number since it is divisible by the number (92) 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 9404138432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10580522400).

9404138432 is an abundant number, since it is smaller than the sum of its proper divisors (11756906368).

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

9404138432 is a wasteful number, since it uses less digits than its factorization.

9404138432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4510 (or 4500 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 9404138432 is about 96974.9371332614. The cubic root of 9404138432 is about 2110.7639643541.

The spelling of 9404138432 in words is "nine billion, four hundred four million, one hundred thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 113 184 208 226 299 368 416 452 598 736 832 904 1196 1469 1472 1808 2392 2599 2938 3616 4349 4784 5198 5876 7232 8698 9568 10396 11752 17396 19136 20792 23504 33787 34792 41584 47008 56537 67574 69584 83168 94016 100027 113074 135148 139168 166336 200054 226148 270296 278336 400108 452296 491437 540592 800216 904592 982874 1081184 1300351 1600432 1809184 1965748 2162368 2600702 3200864 3618368 3931496 5201404 6388681 6401728 7862992 10402808 11303051 12777362 15725984 20805616 22606102 25554724 31451968 41611232 45212204 51109448 83222464 90424408 102218896 146939663 180848816 204437792 293879326 361697632 408875584 587758652 723395264 1175517304 2351034608 4702069216 9404138432