Search a number
-
+
401160405852513 = 32377174167228773
BaseRepresentation
bin101101100110110100110111…
…1011111010010000101100001
31221121101120010102121010121100
41123031221233133102011201
5410040103002344240023
63541110313555345013
7150332611553633136
oct13315515737220541
91847346112533540
10401160405852513
1110690519996774a
1238bab6a82b2169
13142ac357b93608
14710c3a545058d
15315a181c9ec43
hex16cda6f7d2161

401160405852513 has 48 divisors (see below), whose sum is σ = 603507510418176. Its totient is φ = 256542614778240.

The previous prime is 401160405852511. The next prime is 401160405852571. The reversal of 401160405852513 is 315258504061104.

401160405852513 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 6 + 0 + 40 + 585 + 25 + 1 + 3 = 666.

It is not a de Polignac number, because 401160405852513 - 21 = 401160405852511 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (401160405852511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1753415995 + ... + 1753644767.

It is an arithmetic number, because the mean of its divisors is an integer number (12573073133712).

Almost surely, 2401160405852513 is an apocalyptic number.

It is an amenable number.

401160405852513 is a deficient number, since it is larger than the sum of its proper divisors (202347104565663).

401160405852513 is a wasteful number, since it uses less digits than its factorization.

401160405852513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303054 (or 303051 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 401160405852513 in words is "four hundred one trillion, one hundred sixty billion, four hundred five million, eight hundred fifty-two thousand, five hundred thirteen".

Divisors: 1 3 9 37 71 111 213 333 639 2627 7881 23643 74167 222501 228773 667503 686319 2058957 2744179 5265857 8232537 8464601 15797571 16242883 24697611 25393803 47392713 48728649 76181409 146185947 194836709 584510127 600986671 1753530381 1802960013 5408880039 16967407091 50902221273 152706663819 627794062367 1204685903461 1883382187101 3614057710383 5650146561303 10842173131149 44573378428057 133720135284171 401160405852513