Search a number
-
+
3814350552272 = 241357731782017
BaseRepresentation
bin110111100000011001000…
…000100111110011010000
3111111122111122111121022202
4313200121000213303100
5444443242220133042
612040142150022332
7542402106511661
oct67403100476320
914448448447282
103814350552272
1112407254a0827
125172b63479a8
132188cb905b10
14d2889107368
1569347811632
hex37819027cd0

3814350552272 has 40 divisors (see below), whose sum is σ = 7972582779336. Its totient is φ = 1757418356736.

The previous prime is 3814350552251. The next prime is 3814350552301. The reversal of 3814350552272 is 2722550534183.

It can be written as a sum of positive squares in 4 ways, for example, as 1037741540416 + 2776609011856 = 1018696^2 + 1666316^2 .

It is a super-2 number, since 2×38143505522722 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15770993 + ... + 16011024.

Almost surely, 23814350552272 is an apocalyptic number.

It is an amenable number.

3814350552272 is an abundant number, since it is smaller than the sum of its proper divisors (4158232227064).

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

3814350552272 is a wasteful number, since it uses less digits than its factorization.

3814350552272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31782615 (or 31782609 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 47.

The spelling of 3814350552272 in words is "three trillion, eight hundred fourteen billion, three hundred fifty million, five hundred fifty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 577 1154 2308 4616 7501 9232 15002 30004 60008 120016 31782017 63564034 127128068 254256136 413166221 508512272 826332442 1652664884 3305329768 6610659536 18338223809 36676447618 73352895236 146705790472 238396909517 293411580944 476793819034 953587638068 1907175276136 3814350552272