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14014685984 = 2513224110753
BaseRepresentation
bin11010000110101011…
…10010001100100000
31100011201002210221212
431003111302030200
5212200224422414
610234355205252
71004203602545
oct150325621440
940151083855
1014014685984
115a41a1a012
1228715a6828
131424681600
1496d41abcc
1557058483e
hex343572320

14014685984 has 72 divisors (see below), whose sum is σ = 30003853572. Its totient is φ = 6440878080.

The previous prime is 14014685983. The next prime is 14014686017. The reversal of 14014685984 is 48958641041.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7262448400 + 6752237584 = 85220^2 + 82172^2 .

It is a super-2 number, since 2×140146859842 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14014685983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1297952 + ... + 1308704.

Almost surely, 214014685984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14014685984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15001926786).

14014685984 is an abundant number, since it is smaller than the sum of its proper divisors (15989167588).

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

14014685984 is a wasteful number, since it uses less digits than its factorization.

14014685984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11030 (or 11009 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 50.

The spelling of 14014685984 in words is "fourteen billion, fourteen million, six hundred eighty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 241 338 416 482 676 964 1352 1928 2704 3133 3856 5408 6266 7712 10753 12532 21506 25064 40729 43012 50128 81458 86024 100256 139789 162916 172048 279578 325832 344096 559156 651664 1118312 1303328 1817257 2236624 2591473 3634514 4473248 5182946 7269028 10365892 14538056 20731784 29076112 33689149 41463568 58152224 67378298 82927136 134756596 269513192 437958937 539026384 875917874 1078052768 1751835748 3503671496 7007342992 14014685984