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444442604840 = 235131316524407
BaseRepresentation
bin1100111011110101101…
…01111111010100101000
31120111011222011121122022
412131322311333110220
524240204301323330
6540101335244012
744052462544343
oct6357265772450
91514158147568
10444442604840
1116153a29a193
1272176b19608
1332babc1cc60
14177227b945a
15b863432ae5
hex677ad7f528

444442604840 has 64 divisors (see below), whose sum is σ = 1085139538560. Its totient is φ = 162849173760.

The previous prime is 444442604647. The next prime is 444442604843. The reversal of 444442604840 is 48406244444.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 444442604791 and 444442604800.

It is not an unprimeable number, because it can be changed into a prime (444442604843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3194084 + ... + 3330323.

It is an arithmetic number, because the mean of its divisors is an integer number (16955305290).

Almost surely, 2444442604840 is an apocalyptic number.

444442604840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444442604840 is an abundant number, since it is smaller than the sum of its proper divisors (640696933720).

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

444442604840 is a wasteful number, since it uses less digits than its factorization.

444442604840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6524562 (or 6524558 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 44.

The spelling of 444442604840 in words is "four hundred forty-four billion, four hundred forty-two million, six hundred four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 131 260 262 520 524 655 1048 1310 1703 2620 3406 5240 6812 8515 13624 17030 34060 68120 6524407 13048814 26097628 32622035 52195256 65244070 84817291 130488140 169634582 260976280 339269164 424086455 678538328 848172910 854697317 1696345820 1709394634 3392691640 3418789268 4273486585 6837578536 8546973170 11111065121 17093946340 22222130242 34187892680 44444260484 55555325605 88888520968 111110651210 222221302420 444442604840