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14152115400 = 2335228183939
BaseRepresentation
bin11010010111000100…
…00010010011001000
31100112021200221200020
431023202002103020
5212440420143100
610300144540440
71010462665443
oct151342022310
940467627606
1014152115400
116002555845
1228ab621720
131446c9b8a7
1498379265a
1557c67e5a0
hex34b8824c8

14152115400 has 96 divisors (see below), whose sum is σ = 44028208800. Its totient is φ = 3760422400.

The previous prime is 14152115359. The next prime is 14152115447. The reversal of 14152115400 is 451125141.

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

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 23 ways as a sum of consecutive naturals, for example, 126631 + ... + 210569.

It is an arithmetic number, because the mean of its divisors is an integer number (458627175).

Almost surely, 214152115400 is an apocalyptic number.

14152115400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14152115400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014104400).

14152115400 is an abundant number, since it is smaller than the sum of its proper divisors (29876093400).

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

14152115400 is a wasteful number, since it uses less digits than its factorization.

14152115400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84239 (or 84230 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The spelling of 14152115400 in words is "fourteen billion, one hundred fifty-two million, one hundred fifteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 281 300 562 600 843 1124 1405 1686 2248 2810 3372 4215 5620 6744 7025 8430 11240 14050 16860 21075 28100 33720 42150 56200 83939 84300 167878 168600 251817 335756 419695 503634 671512 839390 1007268 1259085 1678780 2014536 2098475 2518170 3357560 4196950 5036340 6295425 8393900 10072680 12590850 16787800 23586859 25181700 47173718 50363400 70760577 94347436 117934295 141521154 188694872 235868590 283042308 353802885 471737180 566084616 589671475 707605770 943474360 1179342950 1415211540 1769014425 2358685900 2830423080 3538028850 4717371800 7076057700 14152115400