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13130242440264 = 2332544933467513
BaseRepresentation
bin1011111100010001111101…
…1011111011110001001000
31201111020110011122000102100
42333010133123323301020
53210111214031042024
643531541120033400
72523425435153565
oct277043733736110
951436404560370
1013130242440264
114202560609884
12158088b762860
1374323ab56711
1433571579d86c
1517b8339397c9
hexbf11f6fbc48

13130242440264 has 48 divisors (see below), whose sum is σ = 35567600503500. Its totient is φ = 4375944129024.

The previous prime is 13130242440247. The next prime is 13130242440317. The reversal of 13130242440264 is 46204424203131.

13130242440264 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 242 + 4 + 402 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12135176339364 + 995066100900 = 3483558^2 + 997530^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16341429 + ... + 17126084.

Almost surely, 213130242440264 is an apocalyptic number.

It is an amenable number.

13130242440264 is an abundant number, since it is smaller than the sum of its proper divisors (22437358063236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13130242440264 is a wasteful number, since it uses less digits than its factorization.

13130242440264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33472974 (or 33472967 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 13130242440264 its reverse (46204424203131), we get a palindrome (59334666643395).

The spelling of 13130242440264 in words is "thirteen trillion, one hundred thirty billion, two hundred forty-two million, four hundred forty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5449 10898 16347 21796 32694 43592 49041 65388 98082 130776 196164 392328 33467513 66935026 100402539 133870052 200805078 267740104 301207617 401610156 602415234 803220312 1204830468 2409660936 182364478337 364728956674 547093435011 729457913348 1094186870022 1458915826696 1641280305033 2188373740044 3282560610066 4376747480088 6565121220132 13130242440264