Search a number
-
+
504435050112444 = 2231131123273472657
BaseRepresentation
bin111001010110001111110111…
…1111110010110010110111100
32110011001112000221210220122020
41302230133233332112112330
51012104130440312044234
64544502132441320140
7211152141534051543
oct16254375776262674
92404045027726566
10504435050112444
11136801781215010
12486aaa85796050
1318861037518a59
148c7cb0299115a
153d4b7a7430549
hex1cac7eff965bc

504435050112444 has 48 divisors (see below), whose sum is σ = 1325436378018816. Its totient is φ = 147928167187200.

The previous prime is 504435050112359. The next prime is 504435050112473. The reversal of 504435050112444 is 444211050534405.

It is a junction number, because it is equal to n+sod(n) for n = 504435050112396 and 504435050112405.

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, 61636732237 + ... + 61636740420.

It is an arithmetic number, because the mean of its divisors is an integer number (27613257875392).

Almost surely, 2504435050112444 is an apocalyptic number.

It is an amenable number.

504435050112444 is an abundant number, since it is smaller than the sum of its proper divisors (821001327906372).

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

504435050112444 is a wasteful number, since it uses less digits than its factorization.

504435050112444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123273472706 (or 123273472704 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

The spelling of 504435050112444 in words is "five hundred four trillion, four hundred thirty-five billion, fifty million, one hundred twelve thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 123273472657 246546945314 369820417971 493093890628 739640835942 1356008199227 1479281671884 2712016398454 3821477652367 4068024597681 5424032796908 7642955304734 8136049195362 11464432957101 15285910609468 16272098390724 22928865914202 42036254176037 45857731828404 84072508352074 126108762528111 168145016704148 252217525056222 504435050112444