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315141344010 = 23352003582721
BaseRepresentation
bin1001001010111111110…
…00110100101100001010
31010010102202000222222000
410211133320310230022
520130402141002020
6400435100411430
731524332140413
oct4453770645412
91103382028860
10315141344010
11111718089149
12510b0246b76
1323943a3596c
141137803a80a
1582e6ae3090
hex495fe34b0a

315141344010 has 64 divisors (see below), whose sum is σ = 840797919360. Its totient is φ = 83995591680.

The previous prime is 315141343967. The next prime is 315141344047. The reversal of 315141344010 is 10443141513.

315141344010 is a `hidden beast` number, since 3 + 1 + 514 + 134 + 4 + 0 + 10 = 666.

315141344010 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249450 + ... + 832170.

It is an arithmetic number, because the mean of its divisors is an integer number (13137467490).

Almost surely, 2315141344010 is an apocalyptic number.

315141344010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

315141344010 is an abundant number, since it is smaller than the sum of its proper divisors (525656575350).

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

315141344010 is a wasteful number, since it uses less digits than its factorization.

315141344010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584740 (or 584734 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 315141344010 its reverse (10443141513), we get a palindrome (325584485523).

The spelling of 315141344010 in words is "three hundred fifteen billion, one hundred forty-one million, three hundred forty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 2003 4006 6009 10015 12018 18027 20030 30045 36054 54081 60090 90135 108162 180270 270405 540810 582721 1165442 1748163 2913605 3496326 5244489 5827210 8740815 10488978 15733467 17481630 26222445 31466934 52444890 78667335 157334670 1167190163 2334380326 3501570489 5835950815 7003140978 10504711467 11671901630 17507852445 21009422934 31514134401 35015704890 52523557335 63028268802 105047114670 157570672005 315141344010