Search a number
-
+
315429473418816 = 2636574692498767
BaseRepresentation
bin100011110111000011010010…
…1101101101111111001000000
31112100211202121100022010212210
41013232012211231233321000
5312320444030143400231
63034510144415422120
7123304012254543351
oct10756064555577100
91470752540263783
10315429473418816
1191561985574169
122b464418524940
1310700b441c6b03
1457c6c21a03d28
1526700a017ba46
hex11ee1a5b6fe40

315429473418816 has 56 divisors (see below), whose sum is σ = 834575418455680. Its totient is φ = 105142955807232.

The previous prime is 315429473418791. The next prime is 315429473418817. The reversal of 315429473418816 is 618814374924513.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (315429473418817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124984665 + ... + 127483431.

Almost surely, 2315429473418816 is an apocalyptic number.

It is an amenable number.

315429473418816 is an abundant number, since it is smaller than the sum of its proper divisors (519145945036864).

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

315429473418816 is a wasteful number, since it uses less digits than its factorization.

315429473418816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156251 (or 3156241 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 66.

The spelling of 315429473418816 in words is "three hundred fifteen trillion, four hundred twenty-nine billion, four hundred seventy-three million, four hundred eighteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 657469 1314938 1972407 2498767 2629876 3944814 4997534 5259752 7496301 7889628 9995068 10519504 14992602 15779256 19990136 21039008 29985204 31558512 39980272 42078016 59970408 63117024 79960544 119940816 126234048 159921088 239881632 479763264 1642861840723 3285723681446 4928585522169 6571447362892 9857171044338 13142894725784 19714342088676 26285789451568 39428684177352 52571578903136 78857368354704 105143157806272 157714736709408 315429473418816