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43319113728 = 211311640967
BaseRepresentation
bin101000010110000001…
…010011100000000000
311010210222112222120120
4220112001103200000
51202204143114403
631522302540240
73062326251132
oct502601234000
9133728488516
1043319113728
111740a568340
12848b597680
1341148c7797
14214d321052
1511d80b2e53
hexa16053800

43319113728 has 96 divisors (see below), whose sum is σ = 125988670080. Its totient is φ = 13126983680.

The previous prime is 43319113711. The next prime is 43319113763. The reversal of 43319113728 is 82731191334.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×433191137282 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 43319113728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252900 + ... + 388067.

It is an arithmetic number, because the mean of its divisors is an integer number (1312381980).

Almost surely, 243319113728 is an apocalyptic number.

43319113728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

43319113728 is an abundant number, since it is smaller than the sum of its proper divisors (82669556352).

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

43319113728 is a wasteful number, since it uses less digits than its factorization.

43319113728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641003 (or 640983 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The spelling of 43319113728 in words is "forty-three billion, three hundred nineteen million, one hundred thirteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4224 5632 6144 8448 11264 16896 22528 33792 67584 640967 1281934 1922901 2563868 3845802 5127736 7050637 7691604 10255472 14101274 15383208 20510944 21151911 28202548 30766416 41021888 42303822 56405096 61532832 82043776 84607644 112810192 123065664 164087552 169215288 225620384 246131328 328175104 338430576 451240768 492262656 656350208 676861152 902481536 984525312 1312700416 1353722304 1804963072 1969050624 2707444608 3609926144 3938101248 5414889216 7219852288 10829778432 14439704576 21659556864 43319113728