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14916950244 = 22327231327017
BaseRepresentation
bin11011110010001111…
…01001100011100100
31102111120212120211200
431321013221203210
5221022214401434
610504110002500
71035440661600
oct157107514344
942446776750
1014916950244
116365258559
122a837a6430
13153958b7a1
14a171a6500
155c48ac199
hex3791e98e4

14916950244 has 108 divisors (see below), whose sum is σ = 44004702924. Its totient is φ = 4248211968.

The previous prime is 14916950239. The next prime is 14916950263. The reversal of 14916950244 is 44205961941.

14916950244 is a `hidden beast` number, since 1 + 49 + 1 + 69 + 502 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7056000000 + 7860950244 = 84000^2 + 88662^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14916950244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 538624 + ... + 565640.

It is an arithmetic number, because the mean of its divisors is an integer number (407450953).

Almost surely, 214916950244 is an apocalyptic number.

14916950244 is a gapful number since it is divisible by the number (14) 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 14916950244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22002351462).

14916950244 is an abundant number, since it is smaller than the sum of its proper divisors (29087752680).

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

14916950244 is a wasteful number, since it uses less digits than its factorization.

14916950244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27354 (or 27342 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 14916950244 in words is "fourteen billion, nine hundred sixteen million, nine hundred fifty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 313 441 588 626 882 939 1252 1764 1878 2191 2817 3756 4382 5634 6573 8764 11268 13146 15337 19719 26292 27017 30674 39438 46011 54034 61348 78876 81051 92022 108068 138033 162102 184044 189119 243153 276066 324204 378238 486306 552132 567357 756476 972612 1134714 1323833 1702071 2269428 2647666 3404142 3971499 5295332 6808284 7942998 8456321 11914497 15885996 16912642 23828994 25368963 33825284 47657988 50737926 59194247 76106889 101475852 118388494 152213778 177582741 236776988 304427556 355165482 414359729 532748223 710330964 828719458 1065496446 1243079187 1657438916 2130992892 2486158374 3729237561 4972316748 7458475122 14916950244