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440104337472 = 26331531395137
BaseRepresentation
bin1100110011110000100…
…00110100000001000000
31120001222121221210121010
412121320100310001000
524202313202244342
6534103043200520
743540124100462
oct6317020640100
91501877853533
10440104337472
1115a713474758
1271366076140
133266a1c2747
1417430570132
15b6ac64029c
hex6678434040

440104337472 has 112 divisors (see below), whose sum is σ = 1224685619712. Its totient is φ = 139290378240.

The previous prime is 440104337467. The next prime is 440104337501. The reversal of 440104337472 is 274733401044.

It is a self number, because there is not a number n which added to its sum of digits gives 440104337472.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382113 + ... + 1013024.

Almost surely, 2440104337472 is an apocalyptic number.

It is an amenable number.

440104337472 is an abundant number, since it is smaller than the sum of its proper divisors (784581282240).

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

440104337472 is a wasteful number, since it uses less digits than its factorization.

440104337472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395236 (or 1395226 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 39.

The spelling of 440104337472 in words is "four hundred forty billion, one hundred four million, three hundred thirty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 53 62 64 93 96 106 124 159 186 192 212 248 318 372 424 496 636 744 848 992 1272 1488 1643 1696 1984 2544 2976 3286 3392 4929 5088 5952 6572 9858 10176 13144 19716 26288 39432 52576 78864 105152 157728 315456 1395137 2790274 4185411 5580548 8370822 11161096 16741644 22322192 33483288 43249247 44644384 66966576 73942261 86498494 89288768 129747741 133933152 147884522 172996988 221826783 259495482 267866304 295769044 345993976 443653566 518990964 591538088 691987952 887307132 1037981928 1183076176 1383975904 1774614264 2075963856 2292210091 2366152352 2767951808 3549228528 4151927712 4584420182 4732304704 6876630273 7098457056 8303855424 9168840364 13753260546 14196914112 18337680728 27506521092 36675361456 55013042184 73350722912 110026084368 146701445824 220052168736 440104337472