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112444300054400 = 2752185031899089
BaseRepresentation
bin11001100100010001111010…
…100011111100111110000000
3112202010120101121022221021112
4121210101322203330332000
5104214241411303220100
61035052110500542452
732453555402260316
oct3144217243747600
9482116347287245
10112444300054400
11329123a5a66986
12107405606b1a28
134a985b50645b2
141daa4942a00b6
15ceee03365b35
hex66447a8fcf80

112444300054400 has 96 divisors (see below), whose sum is σ = 277787718550800. Its totient is φ = 44975265505280.

The previous prime is 112444300054381. The next prime is 112444300054409. The reversal of 112444300054400 is 4450003444211.

It is a super-2 number, since 2×1124443000544002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112444300054409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58260056 + ... + 60159144.

Almost surely, 2112444300054400 is an apocalyptic number.

112444300054400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112444300054400 is an abundant number, since it is smaller than the sum of its proper divisors (165343418496400).

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

112444300054400 is a wasteful number, since it uses less digits than its factorization.

112444300054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917616 (or 1917599 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 112444300054400 its reverse (4450003444211), we get a palindrome (116894303498611).

The spelling of 112444300054400 in words is "one hundred twelve trillion, four hundred forty-four billion, three hundred million, fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 18503 37006 74012 92515 148024 185030 296048 370060 462575 592096 740120 925150 1184192 1480240 1850300 1899089 2368384 2960480 3700600 3798178 5920960 7401200 7596356 9495445 11841920 14802400 15192712 18990890 29604800 30385424 37981780 47477225 59209600 60770848 75963560 94954450 121541696 151927120 189908900 243083392 303854240 379817800 607708480 759635600 1215416960 1519271200 3038542400 6077084800 35138843767 70277687534 140555375068 175694218835 281110750136 351388437670 562221500272 702776875340 878471094175 1124443000544 1405553750680 1756942188350 2248886001088 2811107501360 3513884376700 4497772002176 5622215002720 7027768753400 11244430005440 14055537506800 22488860010880 28111075013600 56222150027200 112444300054400