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14016616040 = 2357293170851
BaseRepresentation
bin11010000110111010…
…01001011001101000
31100011211201212111102
431003131021121220
5212201223203130
610234504420532
71004226161540
oct150335113150
940154655442
1014016616040
115a430180a9
122872177748
131424ba8c5b
1496d7a0320
15570816645
hex343749668

14016616040 has 64 divisors (see below), whose sum is σ = 36165951360. Its totient is φ = 4789267200.

The previous prime is 14016615971. The next prime is 14016616043. The reversal of 14016616040 is 4061661041.

It is a junction number, because it is equal to n+sod(n) for n = 14016615994 and 14016616012.

It is not an unprimeable number, because it can be changed into a prime (14016616043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3386 + ... + 167465.

It is an arithmetic number, because the mean of its divisors is an integer number (565092990).

Almost surely, 214016616040 is an apocalyptic number.

14016616040 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 14016616040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18082975680).

14016616040 is an abundant number, since it is smaller than the sum of its proper divisors (22149335320).

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

14016616040 is a wasteful number, since it uses less digits than its factorization.

14016616040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171162 (or 171158 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 14016616040 in words is "fourteen billion, sixteen million, six hundred sixteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 293 586 1172 1465 2051 2344 2930 4102 5860 8204 10255 11720 16408 20510 41020 82040 170851 341702 683404 854255 1195957 1366808 1708510 2391914 3417020 4783828 5979785 6834040 9567656 11959570 23919140 47838280 50059343 100118686 200237372 250296715 350415401 400474744 500593430 700830802 1001186860 1401661604 1752077005 2002373720 2803323208 3504154010 7008308020 14016616040