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14308826413920 = 2535187915864851
BaseRepresentation
bin1101000000111000100010…
…0000111111101101100000
31212122220120201022021011220
43100032020200333231200
53333413434030221140
650233214544535040
73004531025511213
oct320161040775540
955586521267156
1014308826413920
114617380531345
121731191021480
137ca41659648c
1437679d91b77a
1519c3133eabd0
hexd038883fb60

14308826413920 has 96 divisors (see below), whose sum is σ = 45096793701120. Its totient is φ = 3813656102400.

The previous prime is 14308826413909. The next prime is 14308826414039. The reversal of 14308826413920 is 2931462880341.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7030506 + ... + 8834345.

It is an arithmetic number, because the mean of its divisors is an integer number (469758267720).

Almost surely, 214308826413920 is an apocalyptic number.

14308826413920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14308826413920 is an abundant number, since it is smaller than the sum of its proper divisors (30787967287200).

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

14308826413920 is a wasteful number, since it uses less digits than its factorization.

14308826413920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15866748 (or 15866740 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 14308826413920 in words is "fourteen trillion, three hundred eight billion, eight hundred twenty-six million, four hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1879 3758 5637 7516 9395 11274 15032 18790 22548 28185 30064 37580 45096 56370 60128 75160 90192 112740 150320 180384 225480 300640 450960 901920 15864851 31729702 47594553 63459404 79324255 95189106 126918808 158648510 190378212 237972765 253837616 317297020 380756424 475945530 507675232 634594040 761512848 951891060 1269188080 1523025696 1903782120 2538376160 3807564240 7615128480 29810055029 59620110058 89430165087 119240220116 149050275145 178860330174 238480440232 298100550290 357720660348 447150825435 476960880464 596201100580 715441320696 894301650870 953921760928 1192402201160 1430882641392 1788603301740 2384804402320 2861765282784 3577206603480 4769608804640 7154413206960 14308826413920