Search a number
-
+
505200142010424 = 23376776814437403
BaseRepresentation
bin111001011011110100001001…
…1000000010100100000111000
32110020202122212112012100000110
41302313220103000110200320
51012204144342323313144
64550245424040104320
7211261335322636440
oct16267502300244070
92406678775170013
10505200142010424
11136a771a4696013
12487b32094650a0
13188b8227309553
148ca7b62acd120
153d61635c960b9
hex1cb7a13014838

505200142010424 has 64 divisors (see below), whose sum is σ = 1443431432413440. Its totient is φ = 144342652193280.

The previous prime is 505200142010393. The next prime is 505200142010441. The reversal of 505200142010424 is 424010241002505.

It is a junction number, because it is equal to n+sod(n) for n = 505200142010391 and 505200142010400.

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, 111631707 + ... + 116069109.

It is an arithmetic number, because the mean of its divisors is an integer number (22553616131460).

Almost surely, 2505200142010424 is an apocalyptic number.

It is an amenable number.

505200142010424 is an abundant number, since it is smaller than the sum of its proper divisors (938231290403016).

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

505200142010424 is a wasteful number, since it uses less digits than its factorization.

505200142010424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5115100 (or 5115096 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 505200142010424 its reverse (424010241002505), we get a palindrome (929210383012929).

The spelling of 505200142010424 in words is "five hundred five trillion, two hundred billion, one hundred forty-two million, ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 677681 1355362 2033043 2710724 4066086 4437403 4743767 5421448 8132172 8874806 9487534 13312209 14231301 16264344 17749612 18975068 26624418 28462602 31061821 35499224 37950136 53248836 56925204 62123642 93185463 106497672 113850408 124247284 186370926 248494568 372741852 745483704 3007143702443 6014287404886 9021431107329 12028574809772 18042862214658 21050005917101 24057149619544 36085724429316 42100011834202 63150017751303 72171448858632 84200023668404 126300035502606 168400047336808 252600071005212 505200142010424