Search a number
-
+
104114133240024 = 23373223032664479
BaseRepresentation
bin10111101011000011110101…
…111011011000100011011000
3111122122012202221211112222210
4113223003311323120203120
5102121301221102140044
61005233212244115120
730633666164526315
oct2753036573304330
9448565687745883
10104114133240024
11301a0612a672a6
12b816024695aa0
134612bc784141b
141b9d21824dd0c
15c083aa6661b9
hex5eb0f5ed88d8

104114133240024 has 64 divisors (see below), whose sum is σ = 263862814924800. Its totient is φ = 34227756493056.

The previous prime is 104114133239969. The next prime is 104114133240067. The reversal of 104114133240024 is 420042331411401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 104114133239973 and 104114133240000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37742617 + ... + 40407095.

It is an arithmetic number, because the mean of its divisors is an integer number (4122856483200).

Almost surely, 2104114133240024 is an apocalyptic number.

It is an amenable number.

104114133240024 is an abundant number, since it is smaller than the sum of its proper divisors (159748681684776).

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

104114133240024 is a wasteful number, since it uses less digits than its factorization.

104114133240024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686864 (or 2686860 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 104114133240024 its reverse (420042331411401), we get a palindrome (524156464651425).

The spelling of 104114133240024 in words is "one hundred four trillion, one hundred fourteen billion, one hundred thirty-three million, two hundred forty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 73 146 219 292 438 584 876 1752 22303 44606 66909 89212 133818 178424 267636 535272 1628119 2664479 3256238 4884357 5328958 6512476 7993437 9768714 10657916 13024952 15986874 19537428 21315832 31973748 39074856 63947496 194506967 389013934 583520901 778027868 1167041802 1556055736 2334083604 4668167208 59425875137 118851750274 178277625411 237703500548 356555250822 475407001096 713110501644 1426221003288 4338088885001 8676177770002 13014266655003 17352355540004 26028533310006 34704711080008 52057066620012 104114133240024