Search a number
-
+
313301012114040 = 23352610841767617
BaseRepresentation
bin100011100111100100001001…
…1100010001110101001111000
31112002022021200012211212022220
41013033020103202032221320
5312031110433100122130
63030200255323044040
7122664152101140666
oct10717102342165170
91462267605755286
10313301012114040
11909112386637a5
122b17ba03070620
13105a820a7aab82
145751bc8181c36
152634a2947a410
hex11cf21388ea78

313301012114040 has 32 divisors (see below), whose sum is σ = 939903036342480. Its totient is φ = 83546936563712.

The previous prime is 313301012114023. The next prime is 313301012114113. The reversal of 313301012114040 is 40411210103313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 313301012114040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1305420883689 + ... + 1305420883928.

Almost surely, 2313301012114040 is an apocalyptic number.

313301012114040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313301012114040 is an abundant number, since it is smaller than the sum of its proper divisors (626602024228440).

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

313301012114040 is a wasteful number, since it uses less digits than its factorization.

313301012114040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610841767631 (or 2610841767627 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 313301012114040 its reverse (40411210103313), we get a palindrome (353712222217353).

The spelling of 313301012114040 in words is "three hundred thirteen trillion, three hundred one billion, twelve million, one hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2610841767617 5221683535234 7832525302851 10443367070468 13054208838085 15665050605702 20886734140936 26108417676170 31330101211404 39162626514255 52216835352340 62660202422808 78325253028510 104433670704680 156650506057020 313301012114040