Search a number
-
+
314301421104144 = 24339157167222879
BaseRepresentation
bin100011101110110110000000…
…0100011101010110000010000
31112012211220220102212010202120
41013131230000203222300100
5312144003302300313034
63032244025103414240
7123126346133224005
oct10735540043526020
91465756812763676
10314301421104144
1191167536434a41
122b301879bb4380
131064b65c714c96
1457883aca4d8ac
152650a7ba7dc49
hex11ddb008eac10

314301421104144 has 40 divisors (see below), whose sum is σ = 811966078344960. Its totient is φ = 104764464175488.

The previous prime is 314301421104113. The next prime is 314301421104149. The reversal of 314301421104144 is 441401124103413.

It is a super-4 number, since 4×3143014211041444 (a number of 59 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (314301421104149) 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, 81731904 + ... + 85490975.

It is an arithmetic number, because the mean of its divisors is an integer number (20299151958624).

Almost surely, 2314301421104144 is an apocalyptic number.

It is an amenable number.

314301421104144 is an abundant number, since it is smaller than the sum of its proper divisors (497664657240816).

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

314301421104144 is a wasteful number, since it uses less digits than its factorization.

314301421104144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167262047 (or 167262041 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 314301421104144 its reverse (441401124103413), we get a palindrome (755702545207557).

The spelling of 314301421104144 in words is "three hundred fourteen trillion, three hundred one billion, four hundred twenty-one million, one hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 39157 78314 117471 156628 234942 313256 469884 626512 939768 1879536 167222879 334445758 501668637 668891516 1003337274 1337783032 2006674548 2675566064 4013349096 8026698192 6547946273003 13095892546006 19643838819009 26191785092012 39287677638018 52383570184024 78575355276036 104767140368048 157150710552072 314301421104144