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14050415000 = 235417473517
BaseRepresentation
bin11010001010111100…
…00101000110011000
31100021012100000221202
431011132011012120
5212233401240000
610242113053332
71005116362016
oct150536050630
940235300852
1014050415000
115a60102826
122881557248
13142bbb113b
1497407b8b6
15573790dd5
hex345785198

14050415000 has 160 divisors (see below), whose sum is σ = 35608351680. Its totient is φ = 5175552000.

The previous prime is 14050414997. The next prime is 14050415011. The reversal of 14050415000 is 51405041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3993242 + ... + 3996758.

It is an arithmetic number, because the mean of its divisors is an integer number (222552198).

Almost surely, 214050415000 is an apocalyptic number.

14050415000 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 14050415000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17804175840).

14050415000 is an abundant number, since it is smaller than the sum of its proper divisors (21557936680).

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

14050415000 is a wasteful number, since it uses less digits than its factorization.

14050415000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3607 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The spelling of 14050415000 in words is "fourteen billion, fifty million, four hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 47 50 68 85 94 100 125 136 170 188 200 235 250 340 376 425 470 500 625 680 799 850 940 1000 1175 1250 1598 1700 1880 2125 2350 2500 3196 3400 3517 3995 4250 4700 5000 5875 6392 7034 7990 8500 9400 10625 11750 14068 15980 17000 17585 19975 21250 23500 28136 29375 31960 35170 39950 42500 47000 58750 59789 70340 79900 85000 87925 99875 117500 119578 140680 159800 165299 175850 199750 235000 239156 298945 330598 351700 399500 439625 478312 499375 597890 661196 703400 799000 826495 879250 998750 1195780 1322392 1494725 1652990 1758500 1997500 2198125 2391560 2810083 2989450 3305980 3517000 3995000 4132475 4396250 5620166 5978900 6611960 7473625 8264950 8792500 11240332 11957800 14050415 14947250 16529900 17585000 20662375 22480664 28100830 29894500 33059800 37368125 41324750 56201660 59789000 70252075 74736250 82649500 103311875 112403320 140504150 149472500 165299000 206623750 281008300 298945000 351260375 413247500 562016600 702520750 826495000 1405041500 1756301875 2810083000 3512603750 7025207500 14050415000