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3422914412544 = 21634112732
BaseRepresentation
bin110001110011110101100…
…110010000000000000000
3110010020010210100102010000
4301303311212100000000
5422040112042200134
611140244251040000
7502204003310424
oct61636546200000
913106123312100
103422914412544
1110aa716a50400
12473473140000
131baa19591a23
14bb954468b84
155e087b92e99
hex31cf5990000

3422914412544 has 765 divisors, whose sum is σ = 11396686233009. Its totient is φ = 1023037931520.

The previous prime is 3422914412537. The next prime is 3422914412573. The reversal of 3422914412544 is 4452144192243.

The square root of 3422914412544 is 1850112.

It is a perfect power (a square), and thus also a powerful number.

3422914412544 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 91 + 4 + 4 + 12 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1943012966400 + 1479901446144 = 1393920^2 + 1216512^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3422914412544.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 46889238492 + ... + 46889238564.

Almost surely, 23422914412544 is an apocalyptic number.

3422914412544 is the 1850112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3422914412544

3422914412544 is an abundant number, since it is smaller than the sum of its proper divisors (7973771820465).

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

3422914412544 is an frugal number, since it uses more digits than its factorization.

3422914412544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 89 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 3422914412544 in words is "three trillion, four hundred twenty-two billion, nine hundred fourteen million, four hundred twelve thousand, five hundred forty-four".