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14398994400 = 253527857083
BaseRepresentation
bin11010110100011111…
…10011011111100000
31101011111020200222220
431122033303133200
5213442120310100
610340444231040
71016551301340
oct153217633740
941144220886
1014398994400
11611994767a
12295a23b480
13148618a83b
149a8498d20
15594198aa0
hex35a3f37e0

14398994400 has 144 divisors (see below), whose sum is σ = 53564321664. Its totient is φ = 3291194880.

The previous prime is 14398994399. The next prime is 14398994453. The reversal of 14398994400 is 449989341.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411742 + ... + 445341.

It is an arithmetic number, because the mean of its divisors is an integer number (371974456).

Almost surely, 214398994400 is an apocalyptic number.

14398994400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14398994400 is an abundant number, since it is smaller than the sum of its proper divisors (39165327264).

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

14398994400 is a wasteful number, since it uses less digits than its factorization.

14398994400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857113 (or 857100 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 14398994400 in words is "fourteen billion, three hundred ninety-eight million, nine hundred ninety-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 336 350 400 420 480 525 560 600 672 700 800 840 1050 1120 1200 1400 1680 2100 2400 2800 3360 4200 5600 8400 16800 857083 1714166 2571249 3428332 4285415 5142498 5999581 6856664 8570830 10284996 11999162 12856245 13713328 17141660 17998743 20569992 21427075 23998324 25712490 27426656 29997905 34283320 35997486 41139984 42854150 47996648 51424980 59995810 64281225 68566640 71994972 82279968 85708300 89993715 95993296 102849960 119991620 128562450 137133280 143989944 149989525 171416600 179987430 191986592 205699920 239983240 257124900 287979888 299979050 342833200 359974860 411399840 449968575 479966480 514249800 575959776 599958100 685666400 719949720 899937150 959932960 1028499600 1199916200 1439899440 1799874300 2056999200 2399832400 2879798880 3599748600 4799664800 7199497200 14398994400