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43930331136 = 211323176883
BaseRepresentation
bin101000111010011100…
…111010100000000000
311012101120200001020100
4220322130322200000
51204432131044021
632103055242400
73113430440106
oct507234724000
9135346601210
1043930331136
11176a3587a9a
128620219400
1341b14200a3
1421aa587c76
151221a99626
hexa3a73a800

43930331136 has 144 divisors (see below), whose sum is σ = 130973431680. Its totient is φ = 14170890240.

The previous prime is 43930331083. The next prime is 43930331141. The reversal of 43930331136 is 63113303934.

43930331136 is a `hidden beast` number, since 4 + 3 + 9 + 303 + 311 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×439303311362 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 43930331136.

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, 532951 + ... + 609833.

It is an arithmetic number, because the mean of its divisors is an integer number (909537720).

Almost surely, 243930331136 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 43930331136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65486715840).

43930331136 is an abundant number, since it is smaller than the sum of its proper divisors (87043100544).

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

43930331136 is a wasteful number, since it uses less digits than its factorization.

43930331136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76942 (or 76919 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The spelling of 43930331136 in words is "forty-three billion, nine hundred thirty million, three hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1024 1116 1152 1488 1536 1984 2048 2232 2304 2976 3072 3968 4464 4608 5952 6144 7936 8928 9216 11904 15872 17856 18432 23808 31744 35712 47616 63488 71424 76883 95232 142848 153766 190464 230649 285696 307532 461298 571392 615064 691947 922596 1230128 1383894 1845192 2383373 2460256 2767788 3690384 4766746 4920512 5535576 7150119 7380768 9533492 9841024 11071152 14300238 14761536 19066984 19682048 21450357 22142304 28600476 29523072 38133968 39364096 42900714 44284608 57200952 59046144 76267936 78728192 85801428 88569216 114401904 118092288 152535872 157456384 171602856 177138432 228803808 236184576 305071744 343205712 354276864 457607616 472369152 610143488 686411424 708553728 915215232 1220286976 1372822848 1417107456 1830430464 2440573952 2745645696 3660860928 4881147904 5491291392 7321721856 10982582784 14643443712 21965165568 43930331136