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4431793063440 = 243565983279857
BaseRepresentation
bin100000001111101101101…
…1100111000011000010000
3120200200020021112000221010
41000133123130320120100
51040102303011012230
613231534305530520
7635120651330151
oct100373334703020
916620207460833
104431793063440
111459570714106
125b6ab2643a40
13261bbb130842
141146ddb39928
157a433b159b0
hex407db738610

4431793063440 has 80 divisors (see below), whose sum is σ = 13738815802368. Its totient is φ = 1181789349888.

The previous prime is 4431793063393. The next prime is 4431793063493. The reversal of 4431793063440 is 443603971344.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4431793063440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15695992 + ... + 15975848.

Almost surely, 24431793063440 is an apocalyptic number.

4431793063440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4431793063440 is an abundant number, since it is smaller than the sum of its proper divisors (9307022738928).

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

4431793063440 is a wasteful number, since it uses less digits than its factorization.

4431793063440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345856 (or 345850 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 48.

The spelling of 4431793063440 in words is "four trillion, four hundred thirty-one billion, seven hundred ninety-three million, sixty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 65983 131966 197949 263932 279857 329915 395898 527864 559714 659830 791796 839571 989745 1055728 1119428 1319660 1399285 1583592 1679142 1979490 2238856 2639320 2798570 3167184 3358284 3958980 4197855 4477712 5278640 5597140 6716568 7917960 8395710 11194280 13433136 15835920 16791420 22388560 33582840 67165680 18465804431 36931608862 55397413293 73863217724 92329022155 110794826586 147726435448 184658044310 221589653172 276987066465 295452870896 369316088620 443179306344 553974132930 738632177240 886358612688 1107948265860 1477264354480 2215896531720 4431793063440