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440331323133044 = 22719853970328789
BaseRepresentation
bin110010000011110101010000…
…0000110010100110001110100
32010202002021010000010011220002
41210013222200012110301310
5430203342022210224134
64200301230043530432
7161514613450116230
oct14407524006246164
92122067100104802
10440331323133044
11118337513549482
12414771b1229a18
1315b910b1183665
147aa4214cd35c0
1535d906539287e
hex1907aa0194c74

440331323133044 has 48 divisors (see below), whose sum is σ = 928100081059200. Its totient is φ = 178571547513216.

The previous prime is 440331323133001. The next prime is 440331323133077.

440331323133044 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 440331323132989 and 440331323133007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 484710599 + ... + 485618190.

It is an arithmetic number, because the mean of its divisors is an integer number (19335418355400).

Almost surely, 2440331323133044 is an apocalyptic number.

It is an amenable number.

440331323133044 is an abundant number, since it is smaller than the sum of its proper divisors (487768757926156).

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

440331323133044 is a wasteful number, since it uses less digits than its factorization.

440331323133044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970329672 (or 970329670 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 38.

The spelling of 440331323133044 in words is "four hundred forty trillion, three hundred thirty-one billion, three hundred twenty-three million, one hundred thirty-three thousand, forty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 532 853 1706 3412 5971 11942 16207 23884 32414 64828 113449 226898 453796 970328789 1940657578 3881315156 6792301523 13584603046 18436246991 27169206092 36872493982 73744987964 129053728937 258107457874 516214915748 827690457017 1655380914034 3310761828068 5793833199119 11587666398238 15726118683323 23175332796476 31452237366646 62904474733292 110082830783261 220165661566522 440331323133044