Search a number
-
+
71344481444004 = 22371277302302001
BaseRepresentation
bin10000001110001100101110…
…011110010010000010100100
3100100121110120120122200222210
4100032030232132102002210
533322401444222202004
6411423111410523420
721012316521242556
oct2016145636220244
9310543516580883
1071344481444004
112080702a91258a
128003056596570
1330a69a94610c2
14138913c8574d6
1583ac78a78089
hex40e32e7920a4

71344481444004 has 48 divisors (see below), whose sum is σ = 169424552416896. Its totient is φ = 23361898560000.

The previous prime is 71344481443997. The next prime is 71344481444087. The reversal of 71344481444004 is 40044418444317.

It is a happy number.

71344481444004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150914997 + ... + 151387004.

It is an arithmetic number, because the mean of its divisors is an integer number (3529678175352).

Almost surely, 271344481444004 is an apocalyptic number.

It is an amenable number.

71344481444004 is an abundant number, since it is smaller than the sum of its proper divisors (98080070972892).

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

71344481444004 is a wasteful number, since it uses less digits than its factorization.

71344481444004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302302356 (or 302302354 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 48.

The spelling of 71344481444004 in words is "seventy-one trillion, three hundred forty-four billion, four hundred eighty-one million, four hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 12 71 142 213 277 284 426 554 831 852 1108 1662 3324 19667 39334 59001 78668 118002 236004 302302001 604604002 906906003 1209208004 1813812006 3627624012 21463442071 42926884142 64390326213 83737654277 85853768284 128780652426 167475308554 251212962831 257561304852 334950617108 502425925662 1004851851324 5945373453667 11890746907334 17836120361001 23781493814668 35672240722002 71344481444004