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3090989450641 = 41213723132
BaseRepresentation
bin101100111110101101010…
…101000000010110010001
3101221111101100222021200111
4230332231111000112101
5401120321244410031
610323551515121321
7436213412553301
oct54765525002621
911844340867614
103090989450641
11a91976a65774
1241b07a143241
1319562c637721
14a9867397601
155560c8bb1b1
hex2cfad540591

3090989450641 has 27 divisors (see below), whose sum is σ = 3201741801363. Its totient is φ = 2984023610880.

The previous prime is 3090989450639. The next prime is 3090989450693. The reversal of 3090989450641 is 1460549890903.

The square root of 3090989450641 is 1758121.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2630491490641 + 460497960000 = 1621879^2 + 678600^2 .

It is not a de Polignac number, because 3090989450641 - 21 = 3090989450639 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3090989450611) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9875365501 + ... + 9875365813.

Almost surely, 23090989450641 is an apocalyptic number.

3090989450641 is the 1758121-st square number.

3090989450641 is the 879061-st centered octagonal number.

It is an amenable number.

3090989450641 is a deficient number, since it is larger than the sum of its proper divisors (110752350722).

3090989450641 is an frugal number, since it uses more digits than its factorization.

3090989450641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 58.

The spelling of 3090989450641 in words is "three trillion, ninety billion, nine hundred eighty-nine million, four hundred fifty thousand, six hundred forty-one".

Divisors: 1 41 137 313 1681 5617 12833 18769 42881 97969 230297 526153 769529 1758121 4016729 5874697 13421753 31550689 72082961 164685889 240862577 550291873 1838780161 9875365657 22561966793 75389986601 3090989450641