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441262641440 = 25510725774687
BaseRepresentation
bin1100110101111010100…
…11011001000100100000
31120011222100111201221002
412122331103121010200
524212201214011230
6534414021451132
743610620365125
oct6327523310440
91504870451832
10441262641440
11160158291665
1271629b70aa8
13327c31783ca
141750032874c
15b729191545
hex66bd4d9120

441262641440 has 48 divisors (see below), whose sum is σ = 1052225862912. Its totient is φ = 174855469824.

The previous prime is 441262641427. The next prime is 441262641569. The reversal of 441262641440 is 44146262144.

It is a junction number, because it is equal to n+sod(n) for n = 441262641394 and 441262641403.

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, 12870224 + ... + 12904463.

It is an arithmetic number, because the mean of its divisors is an integer number (21921372144).

Almost surely, 2441262641440 is an apocalyptic number.

441262641440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441262641440 is an abundant number, since it is smaller than the sum of its proper divisors (610963221472).

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

441262641440 is a wasteful number, since it uses less digits than its factorization.

441262641440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25774809 (or 25774801 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The spelling of 441262641440 in words is "four hundred forty-one billion, two hundred sixty-two million, six hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 214 428 535 856 1070 1712 2140 3424 4280 8560 17120 25774687 51549374 103098748 128873435 206197496 257746870 412394992 515493740 824789984 1030987480 2061974960 2757891509 4123949920 5515783018 11031566036 13789457545 22063132072 27578915090 44126264144 55157830180 88252528288 110315660360 220631320720 441262641440