Search a number
-
+
4140376800360 = 2335191815954737
BaseRepresentation
bin111100010000000001101…
…100000011110001101000
3112122211000222102000121020
4330100001230003301220
51020313442430102420
612450021324012440
7605063253060543
oct74200154036150
915584028360536
104140376800360
111356a18845469
1256a523991120
13240588768408
14104576a1385a
1572a79d0b340
hex3c401b03c68

4140376800360 has 64 divisors (see below), whose sum is σ = 13074874113600. Its totient is φ = 1045989927936.

The previous prime is 4140376800331. The next prime is 4140376800431. The reversal of 4140376800360 is 630086730414.

It is a happy number.

It is a super-2 number, since 2×41403768003602 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 907975089 + ... + 907979648.

It is an arithmetic number, because the mean of its divisors is an integer number (204294908025).

Almost surely, 24140376800360 is an apocalyptic number.

4140376800360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4140376800360 is an abundant number, since it is smaller than the sum of its proper divisors (8934497313240).

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

4140376800360 is a wasteful number, since it uses less digits than its factorization.

4140376800360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815954770 (or 1815954766 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 4140376800360 in words is "four trillion, one hundred forty billion, three hundred seventy-six million, eight hundred thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 1815954737 3631909474 5447864211 7263818948 9079773685 10895728422 14527637896 18159547370 21791456844 27239321055 34503140003 36319094740 43582913688 54478642110 69006280006 72638189480 103509420009 108957284220 138012560012 172515700015 207018840018 217914568440 276025120024 345031400030 414037680036 517547100045 690062800060 828075360072 1035094200090 1380125600120 2070188400180 4140376800360