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2413012423200 = 253521848154403
BaseRepresentation
bin100011000111010010101…
…111111001001000100000
322112200101222120210211220
4203013102233321020200
5304013322140020300
65044304514335040
7336222461114661
oct43072257711040
98480358523756
102413012423200
11850397673345
1232b7a8b8a480
13146713a03bc2
1484b0ccd3368
1542b7be7dda0
hex231d2bf9220

2413012423200 has 144 divisors (see below), whose sum is σ = 7854924815136. Its totient is φ = 643423334400.

The previous prime is 2413012423189. The next prime is 2413012423219. The reversal of 2413012423200 is 23242103142.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 44327199 + ... + 44381601.

It is an arithmetic number, because the mean of its divisors is an integer number (54548088994).

Almost surely, 22413012423200 is an apocalyptic number.

2413012423200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2413012423200 is an abundant number, since it is smaller than the sum of its proper divisors (5441912391936).

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

2413012423200 is a wasteful number, since it uses less digits than its factorization.

2413012423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72907 (or 72894 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2413012423200 its reverse (23242103142), we get a palindrome (2436254526342).

The spelling of 2413012423200 in words is "two trillion, four hundred thirteen billion, twelve million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 18481 36962 54403 55443 73924 92405 108806 110886 147848 163209 184810 217612 221772 272015 277215 295696 326418 369620 435224 443544 462025 544030 554430 591392 652836 739240 816045 870448 887088 924050 1088060 1108860 1305672 1360075 1386075 1478480 1632090 1740896 1774176 1848100 2176120 2217720 2611344 2720150 2772150 2956960 3264180 3696200 4080225 4352240 4435440 5222688 5440300 5544300 6528360 7392400 8160450 8704480 8870880 10880600 11088600 13056720 14784800 16320900 21761200 22177200 26113440 32641800 43522400 44354400 65283600 130567200 1005421843 2010843686 3016265529 4021687372 5027109215 6032531058 8043374744 10054218430 12065062116 15081327645 16086749488 20108436860 24130124232 25135546075 30162655290 32173498976 40216873720 48260248464 50271092150 60325310580 75406638225 80433747440 96520496928 100542184300 120650621160 150813276450 160867494880 201084368600 241301242320 301626552900 402168737200 482602484640 603253105800 804337474400 1206506211600 2413012423200