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13144255220241 = 3231113518980347
BaseRepresentation
bin1011111101000110001010…
…1010011100101000010001
31201112120121202010222211100
42333101202222130220101
53210323413314021431
643542215410335013
72524432616630535
oct277214252345021
951476552128740
1013144255220241
1142084a1446882
12158354058a469
13744661cbb5c2
14336284841bc5
1517bda3c444e6
hexbf462a9ca11

13144255220241 has 48 divisors (see below), whose sum is σ = 19776098234880. Its totient is φ = 8403394567680.

The previous prime is 13144255220221. The next prime is 13144255220263. The reversal of 13144255220241 is 14202255244131.

13144255220241 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 42 + 552 + 20 + 2 + 41 = 666.

It is not a de Polignac number, because 13144255220241 - 27 = 13144255220113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13144255220196 and 13144255220205.

It is not an unprimeable number, because it can be changed into a prime (13144255220221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163553430 + ... + 163633776.

It is an arithmetic number, because the mean of its divisors is an integer number (412002046560).

Almost surely, 213144255220241 is an apocalyptic number.

It is an amenable number.

13144255220241 is a deficient number, since it is larger than the sum of its proper divisors (6631843014639).

13144255220241 is a wasteful number, since it uses less digits than its factorization.

13144255220241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85686 (or 85683 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 13144255220241 in words is "thirteen trillion, one hundred forty-four billion, two hundred fifty-five million, two hundred twenty thousand, two hundred forty-one".

Divisors: 1 3 9 31 93 113 279 339 1017 3503 5189 10509 15567 31527 46701 80347 160859 241041 482577 586357 723123 1447731 1759071 2490757 5277213 7472271 9079211 18177067 22416813 27237633 54531201 81712899 163593603 281455541 416920583 844366623 1250761749 2533099869 3752285247 12924538073 38773614219 47112025879 116320842657 141336077637 424008232911 1460472802249 4381418406747 13144255220241