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240572305601 = 31122487281
BaseRepresentation
bin1110000000001100111…
…0100001000011000001
3211222221220020100200122
43200003032201003001
512420143002234401
6302303431230025
723244414600155
oct3400316410301
9758856210618
10240572305601
1193031881981
123a75b218315
13198bbb218b4
14b9026a7065
1563d030821b
hex38033a10c1

240572305601 has 6 divisors (see below), whose sum is σ = 241348434306. Its totient is φ = 239798664800.

The previous prime is 240572305549. The next prime is 240572305607. The reversal of 240572305601 is 106503275042.

It can be written as a sum of positive squares in only one way, i.e., 207585028225 + 32987277376 = 455615^2 + 181624^2 .

It is a de Polignac number, because none of the positive numbers 2k-240572305601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (240572305607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1146920 + ... + 1340361.

It is an arithmetic number, because the mean of its divisors is an integer number (40224739051).

Almost surely, 2240572305601 is an apocalyptic number.

It is an amenable number.

240572305601 is a deficient number, since it is larger than the sum of its proper divisors (776128705).

240572305601 is an frugal number, since it uses more digits than its factorization.

240572305601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487903 (or 2487592 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The spelling of 240572305601 in words is "two hundred forty billion, five hundred seventy-two million, three hundred five thousand, six hundred one".

Divisors: 1 311 96721 2487281 773544391 240572305601