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314001459990 = 23255237666203
BaseRepresentation
bin1001001000110111111…
…00100000101100010110
31010000111022010220001100
410210123330200230112
520121033333204430
6400130021010530
731454151241401
oct4443374405426
91100438126040
10314001459990
11111192702439
1250a32553a46
13237c182c18a
14112aa8b8d38
15827b9ce960
hex491bf20b16

314001459990 has 48 divisors (see below), whose sum is σ = 816560913168. Its totient is φ = 83717608128.

The previous prime is 314001459977. The next prime is 314001459991. The reversal of 314001459990 is 99954100413.

314001459990 is a `hidden beast` number, since 3 + 1 + 40 + 0 + 14 + 599 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314001459991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138229 + ... + 804431.

It is an arithmetic number, because the mean of its divisors is an integer number (17011685691).

Almost surely, 2314001459990 is an apocalyptic number.

314001459990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

314001459990 is an abundant number, since it is smaller than the sum of its proper divisors (502559453178).

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

314001459990 is a wasteful number, since it uses less digits than its factorization.

314001459990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671453 (or 671450 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 314001459990 in words is "three hundred fourteen billion, one million, four hundred fifty-nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 5237 10474 15711 26185 31422 47133 52370 78555 94266 157110 235665 471330 666203 1332406 1998609 3331015 3997218 5995827 6662030 9993045 11991654 19986090 29979135 59958270 3488905111 6977810222 10466715333 17444525555 20933430666 31400145999 34889051110 52333576665 62800291998 104667153330 157000729995 314001459990