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9940242424225 = 5271928772
BaseRepresentation
bin1001000010100110010010…
…0111100110000110100001
31022012021111120210212121011
42100221210213212012201
52300330104030033400
633050252340500521
72044105321336621
oct220514447460641
938167446725534
109940242424225
1131926a6785963
12114659b0aa741
1357148c9ba729
14265178942881
1512387db298ba
hex90a649e61a1

9940242424225 has 27 divisors (see below), whose sum is σ = 12357157806777. Its totient is φ = 7932078979680.

The previous prime is 9940242424219. The next prime is 9940242424241. The reversal of 9940242424225 is 5224242420499.

The square root of 9940242424225 is 3152815.

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

It can be written as a sum of positive squares in 4 ways, for example, as 541014678369 + 9399227745856 = 735537^2 + 3065816^2 .

It is a de Polignac number, because none of the positive numbers 2k-9940242424225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11334369487 + ... + 11334370363.

Almost surely, 29940242424225 is an apocalyptic number.

9940242424225 is the 3152815-th square number.

9940242424225 is the 1576408-th centered octagonal number.

It is an amenable number.

9940242424225 is a deficient number, since it is larger than the sum of its proper divisors (2416915382552).

9940242424225 is an frugal number, since it uses more digits than its factorization.

9940242424225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 49.

Multiplying 9940242424225 by its sum of digits (49), we get a square (487071878787025 = 220697052).

The spelling of 9940242424225 in words is "nine trillion, nine hundred forty billion, two hundred forty-two million, four hundred twenty-four thousand, two hundred twenty-five".

Divisors: 1 5 25 719 877 3595 4385 17975 21925 516961 630563 769129 2584805 3152815 3845645 12924025 15764075 19228225 453374797 553003751 2266873985 2765018755 11334369925 13825093775 397609696969 1988048484845 9940242424225