Search a number
-
+
306216421506112 = 2613536944312897
BaseRepresentation
bin100010110100000001001000…
…1000001110011110001000000
31111011020000002220201202201211
41011220002101001303301000
5310114022212401143422
63003133514303135504
7121333256246441335
oct10550022101636100
91434200086652654
10306216421506112
118962a722992727
122a416963ba4594
13101b3113c6b3b0
145588d4d63a98c
1525605d2772577
hex1168091073c40

306216421506112 has 56 divisors (see below), whose sum is σ = 666737369962776. Its totient is φ = 138664039907328.

The previous prime is 306216421506103. The next prime is 306216421506113. The reversal of 306216421506112 is 211605124612603.

It can be written as a sum of positive squares in 4 ways, for example, as 97562556645376 + 208653864860736 = 9877376^2 + 14444856^2 .

It is not an unprimeable number, because it can be changed into a prime (306216421506113) 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, 3472112353 + ... + 3472200544.

It is an arithmetic number, because the mean of its divisors is an integer number (11906024463621).

Almost surely, 2306216421506112 is an apocalyptic number.

306216421506112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

306216421506112 is an abundant number, since it is smaller than the sum of its proper divisors (360520948456664).

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

306216421506112 is a wasteful number, since it uses less digits than its factorization.

306216421506112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6944312975 (or 6944312965 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 306216421506112 in words is "three hundred six trillion, two hundred sixteen billion, four hundred twenty-one million, five hundred six thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 208 212 416 424 689 832 848 1378 1696 2756 3392 5512 11024 22048 44096 6944312897 13888625794 27777251588 55554503176 90276067661 111109006352 180552135322 222218012704 361104270644 368048583541 444436025408 722208541288 736097167082 1444417082576 1472194334164 2888834165152 2944388668328 4784631586033 5777668330304 5888777336656 9569263172066 11777554673312 19138526344132 23555109346624 38277052688264 76554105376528 153108210753056 306216421506112