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14137079192112 = 2436159369111783
BaseRepresentation
bin1100110110111000101110…
…0101010101101000110000
31212001111021100121102022210
43031232023211111220300
53323110214233121422
650022252353532120
72656241000304012
oct315561345255060
955044240542283
1014137079192112
114560557718608
121703a3b274040
137b717566b146
1436c349bca1b2
15197b104c010c
hexcdb8b955a30

14137079192112 has 160 divisors (see below), whose sum is σ = 37239054690816. Its totient is φ = 4620202905600.

The previous prime is 14137079191997. The next prime is 14137079192143. The reversal of 14137079192112 is 21129197073141.

14137079192112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1199780173 + ... + 1199791955.

Almost surely, 214137079192112 is an apocalyptic number.

14137079192112 is a gapful number since it is divisible by the number (12) 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 14137079192112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18619527345408).

14137079192112 is an abundant number, since it is smaller than the sum of its proper divisors (23101975498704).

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

14137079192112 is a wasteful number, since it uses less digits than its factorization.

14137079192112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13139 (or 13133 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 48.

The spelling of 14137079192112 in words is "fourteen trillion, one hundred thirty-seven billion, seventy-nine million, one hundred ninety-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 593 691 732 976 1186 1382 1464 1779 2073 2372 2764 2928 3558 4146 4744 5528 7116 8292 9488 11056 11783 14232 16584 23566 28464 33168 35349 36173 42151 47132 70698 72346 84302 94264 108519 126453 141396 144692 168604 188528 217038 252906 282792 289384 337208 409763 434076 505812 565584 578768 674416 718763 819526 868152 1011624 1229289 1437526 1639052 1736304 2023248 2156289 2458578 2875052 3278104 4312578 4917156 5750104 6556208 6987319 8142053 8625156 9834312 11500208 13974638 16284106 17250312 19668624 20961957 24426159 24995543 27949276 32568212 34500624 41923914 48852318 49991086 55898552 65136424 74986629 83847828 97704636 99982172 111797104 130272848 149973258 167695656 195409272 199964344 299946516 335391312 390818544 399928688 426226459 496665233 599893032 852452918 993330466 1199786064 1278679377 1489995699 1704905836 1986660932 2557358754 2979991398 3409811672 3973321864 4828237429 5114717508 5959982796 6819623344 7946643728 9656474858 10229435016 11919965592 14484712287 19312949716 20458870032 23839931184 28969424574 38625899432 57938849148 77251798864 115877698296 231755396592 294522483169 589044966338 883567449507 1178089932676 1767134899014 2356179865352 3534269798028 4712359730704 7068539596056 14137079192112