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1024660242240 = 26352251474169
BaseRepresentation
bin11101110100100101000…
…00100111111101000000
310121221211100000112021020
432322102200213331000
5113242001010222430
62102420013025440
7134013015232005
oct16722240477500
93557740015236
101024660242240
11365612aa2988
12146704785280
13758182c3a5b
143784562b8ac
151b9c16c4b10
hexee92827f40

1024660242240 has 112 divisors (see below), whose sum is σ = 3254748400320. Its totient is φ = 273120768000.

The previous prime is 1024660242239. The next prime is 1024660242259. The reversal of 1024660242240 is 422420664201.

It is a super-2 number, since 2×10246602422402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1923876 + ... + 2398044.

Almost surely, 21024660242240 is an apocalyptic number.

1024660242240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024660242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627374200160).

1024660242240 is an abundant number, since it is smaller than the sum of its proper divisors (2230088158080).

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

1024660242240 is a wasteful number, since it uses less digits than its factorization.

1024660242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476440 (or 476430 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 1024660242240 in words is "one trillion, twenty-four billion, six hundred sixty million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2251 4502 6753 9004 11255 13506 18008 22510 27012 33765 36016 45020 54024 67530 72032 90040 108048 135060 144064 180080 216096 270120 360160 432192 474169 540240 720320 948338 1080480 1422507 1896676 2160960 2370845 2845014 3793352 4741690 5690028 7112535 7586704 9483380 11380056 14225070 15173408 18966760 22760112 28450140 30346816 37933520 45520224 56900280 75867040 91040448 113800560 151734080 227601120 455202240 1067354419 2134708838 3202063257 4269417676 5336772095 6404126514 8538835352 10673544190 12808253028 16010316285 17077670704 21347088380 25616506056 32020632570 34155341408 42694176760 51233012112 64041265140 68310682816 85388353520 102466024224 128082530280 170776707040 204932048448 256165060560 341553414080 512330121120 1024660242240