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14055500400 = 2435247249211
BaseRepresentation
bin11010001011100010…
…11110101001110000
31100021112220101210220
431011301132221300
5212241202003100
610242414053040
71005210532164
oct150561365160
940245811726
1014055500400
115a62a66537
1228831aa180
13142cc71a56
14974a02ca4
15573e47aa0
hex345c5ea70

14055500400 has 120 divisors (see below), whose sum is σ = 45982604544. Its totient is φ = 3668371200.

The previous prime is 14055500369. The next prime is 14055500443. The reversal of 14055500400 is 400555041.

14055500400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68206 + ... + 181005.

Almost surely, 214055500400 is an apocalyptic number.

14055500400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14055500400 is an abundant number, since it is smaller than the sum of its proper divisors (31927104144).

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

14055500400 is a wasteful number, since it uses less digits than its factorization.

14055500400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249279 (or 249268 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The spelling of 14055500400 in words is "fourteen billion, fifty-five million, five hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 47 48 50 60 75 80 94 100 120 141 150 188 200 235 240 282 300 376 400 470 564 600 705 752 940 1128 1175 1200 1410 1880 2256 2350 2820 3525 3760 4700 5640 7050 9400 11280 14100 18800 28200 56400 249211 498422 747633 996844 1246055 1495266 1993688 2492110 2990532 3738165 3987376 4984220 5981064 6230275 7476330 9968440 11712917 11962128 12460550 14952660 18690825 19936880 23425834 24921100 29905320 35138751 37381650 46851668 49842200 58564585 59810640 70277502 74763300 93703336 99684400 117129170 140555004 149526600 175693755 187406672 234258340 281110008 292822925 299053200 351387510 468516680 562220016 585645850 702775020 878468775 937033360 1171291700 1405550040 1756937550 2342583400 2811100080 3513875100 4685166800 7027750200 14055500400