Search a number
-
+
10136340424305 = 335129757890519
BaseRepresentation
bin1001001110000000110011…
…1110000110011001110001
31022220000122222210102111000
42103200030332012121301
52312033211122034210
633320323121312213
72064216652002564
oct223401476063161
938800588712430
1010136340424305
113258885a08837
1211785a7a95669
13586b117ab5c4
1427085c7004db
15128a09735ac0
hex9380cf86671

10136340424305 has 32 divisors (see below), whose sum is σ = 18034054790400. Its totient is φ = 5401880015616.

The previous prime is 10136340424229. The next prime is 10136340424349. The reversal of 10136340424305 is 50342404363101.

10136340424305 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 6 + 3 + 404 + 243 + 0 + 5 = 666.

It is not a de Polignac number, because 10136340424305 - 215 = 10136340391537 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10136340424305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28770165 + ... + 29120354.

It is an arithmetic number, because the mean of its divisors is an integer number (563564212200).

Almost surely, 210136340424305 is an apocalyptic number.

10136340424305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10136340424305 is a deficient number, since it is larger than the sum of its proper divisors (7897714366095).

10136340424305 is a wasteful number, since it uses less digits than its factorization.

10136340424305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57891830 (or 57891824 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 10136340424305 its reverse (50342404363101), we get a palindrome (60478744787406).

The spelling of 10136340424305 in words is "ten trillion, one hundred thirty-six billion, three hundred forty million, four hundred twenty-four thousand, three hundred five".

Divisors: 1 3 5 9 15 27 45 135 1297 3891 6485 11673 19455 35019 58365 175095 57890519 173671557 289452595 521014671 868357785 1563044013 2605073355 7815220065 75084003143 225252009429 375420015715 675756028287 1126260047145 2027268084861 3378780141435 10136340424305