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14120054000 = 245313717649
BaseRepresentation
bin11010010011001111…
…01110110011110000
31100110001101001200222
431021213232303300
5212404213212000
610253041432212
71006623323123
oct151147566360
940401331628
1014120054000
115a96447618
1228a093b668
131440454550
1497d4083ba
15579949a85
hex3499eecf0

14120054000 has 160 divisors (see below), whose sum is σ = 37291363200. Its totient is φ = 5139456000.

The previous prime is 14120053933. The next prime is 14120054023. The reversal of 14120054000 is 45002141.

It is a self number, because there is not a number n which added to its sum of digits gives 14120054000.

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 31 ways as a sum of consecutive naturals, for example, 1842176 + ... + 1849824.

It is an arithmetic number, because the mean of its divisors is an integer number (233071020).

Almost surely, 214120054000 is an apocalyptic number.

14120054000 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 14120054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18645681600).

14120054000 is an abundant number, since it is smaller than the sum of its proper divisors (23171309200).

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

14120054000 is a wasteful number, since it uses less digits than its factorization.

14120054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7756 (or 7740 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 14120054000 its reverse (45002141), we get a palindrome (14165056141).

The spelling of 14120054000 in words is "fourteen billion, one hundred twenty million, fifty-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 71 80 100 104 125 130 142 200 208 250 260 284 325 355 400 500 520 568 650 710 923 1000 1040 1136 1300 1420 1625 1775 1846 2000 2600 2840 3250 3550 3692 4615 5200 5680 6500 7100 7384 7649 8875 9230 13000 14200 14768 15298 17750 18460 23075 26000 28400 30596 35500 36920 38245 46150 61192 71000 73840 76490 92300 99437 115375 122384 142000 152980 184600 191225 198874 230750 305960 369200 382450 397748 461500 497185 543079 611920 764900 795496 923000 956125 994370 1086158 1529800 1590992 1846000 1912250 1988740 2172316 2485925 2715395 3059600 3824500 3977480 4344632 4971850 5430790 7060027 7649000 7954960 8689264 9943700 10861580 12429625 13576975 14120054 15298000 19887400 21723160 24859250 27153950 28240108 35300135 39774800 43446320 49718500 54307900 56480216 67884875 70600270 99437000 108615800 112960432 135769750 141200540 176500675 198874000 217231600 271539500 282401080 353001350 543079000 564802160 706002700 882503375 1086158000 1412005400 1765006750 2824010800 3530013500 7060027000 14120054000