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2441130336 = 253219795647
BaseRepresentation
bin1001000110000000…
…1011000101100000
320022010102021021200
42101200023011200
514444412132321
61042121521200
7114331160031
oct22140130540
96263367250
102441130336
111042a55397
12581643200
132cb989b28
141922c8a88
15e449cd26
hex9180b160

2441130336 has 144 divisors (see below), whose sum is σ = 7401139200. Its totient is φ = 760990464.

The previous prime is 2441130313. The next prime is 2441130337. The reversal of 2441130336 is 6330311442.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2441130337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429465 + ... + 435111.

It is an arithmetic number, because the mean of its divisors is an integer number (51396800).

Almost surely, 22441130336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2441130336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3700569600).

2441130336 is an abundant number, since it is smaller than the sum of its proper divisors (4960008864).

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

2441130336 is a wasteful number, since it uses less digits than its factorization.

2441130336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5761 (or 5750 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2441130336 is about 49407.7963078703. The cubic root of 2441130336 is about 1346.4709539238.

Adding to 2441130336 its reverse (6330311442), we get a palindrome (8771441778).

The spelling of 2441130336 in words is "two billion, four hundred forty-one million, one hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 79 96 114 144 152 158 171 228 237 288 304 316 342 456 474 608 632 684 711 912 948 1264 1368 1422 1501 1824 1896 2528 2736 2844 3002 3792 4503 5472 5647 5688 6004 7584 9006 11294 11376 12008 13509 16941 18012 22588 22752 24016 27018 33882 36024 45176 48032 50823 54036 67764 72048 90352 101646 107293 108072 135528 144096 180704 203292 214586 216144 271056 321879 406584 429172 432288 446113 542112 643758 813168 858344 892226 965637 1287516 1338339 1626336 1716688 1784452 1931274 2575032 2676678 3433376 3568904 3862548 4015017 5150064 5353356 7137808 7725096 8030034 8476147 10300128 10706712 14275616 15450192 16060068 16952294 21413424 25428441 30900384 32120136 33904588 42826848 50856882 64240272 67809176 76285323 101713764 128480544 135618352 152570646 203427528 271236704 305141292 406855056 610282584 813710112 1220565168 2441130336