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23201591140809 = 32412391612
BaseRepresentation
bin1010100011010000010101…
…00110010010000111001001
310001011001100210000210110100
411101220022212102013021
511020113324313001214
6121202355215240013
74613155025504334
oct521501246220711
9101131323023410
1023201591140809
117435815375614
122728759b19009
13cc3b92986333
145a2d6a6a161b
152a37d759d309
hex151a0a9921c9

23201591140809 has 27 divisors (see below), whose sum is σ = 34351623436117. Its totient is φ = 15090080438400.

The previous prime is 23201591140781. The next prime is 23201591140817. The reversal of 23201591140809 is 90804119510232.

The square root of 23201591140809 is 4816803.

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

23201591140809 is a `hidden beast` number, since 23 + 20 + 1 + 591 + 14 + 0 + 8 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7636672483209 + 15564918657600 = 2763453^2 + 3945240^2 .

It is a de Polignac number, because none of the positive numbers 2k-23201591140809 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (23201591141809) 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, 592447189 + ... + 592486349.

Almost surely, 223201591140809 is an apocalyptic number.

23201591140809 is the 4816803-rd square number.

23201591140809 is the 2408402-nd centered octagonal number.

It is an amenable number.

23201591140809 is a deficient number, since it is larger than the sum of its proper divisors (11150032295308).

23201591140809 is an frugal number, since it uses more digits than its factorization.

23201591140809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78410 (or 39205 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 23201591140809 in words is "twenty-three trillion, two hundred one billion, five hundred ninety-one million, one hundred forty thousand, eight hundred nine".

Divisors: 1 3 9 41 123 369 1681 5043 15129 39161 117483 352449 1605601 4816803 14450409 65829641 197488923 592466769 1533583921 4600751763 13802255289 62876940761 188630822283 565892466849 2577954571201 7733863713603 23201591140809