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244123132000 = 2553115548253
BaseRepresentation
bin1110001101011011011…
…1110110000001100000
3212100010100202000210111
43203112313312001200
512444431010211000
6304052033541104
723431412245546
oct3432667660140
9770110660714
10244123132000
1194594164350
123b390414794
131a0366757c7
14bb5c0d5d96
15653be04cba
hex38d6df6060

244123132000 has 96 divisors (see below), whose sum is σ = 654338883744. Its totient is φ = 88772032000.

The previous prime is 244123131997. The next prime is 244123132007. The reversal of 244123132000 is 231321442.

244123132000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2441231320002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244123132007) by changing a digit.

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, 2730127 + ... + 2818126.

It is an arithmetic number, because the mean of its divisors is an integer number (6816030039).

Almost surely, 2244123132000 is an apocalyptic number.

244123132000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244123132000 is an abundant number, since it is smaller than the sum of its proper divisors (410215751744).

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

244123132000 is a wasteful number, since it uses less digits than its factorization.

244123132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5548289 (or 5548271 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 244123132000 its reverse (231321442), we get a palindrome (244354453442).

The spelling of 244123132000 in words is "two hundred forty-four billion, one hundred twenty-three million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 44000 5548253 11096506 22193012 27741265 44386024 55482530 61030783 88772048 110965060 122061566 138706325 177544096 221930120 244123132 277412650 305153915 443860240 488246264 554825300 610307830 693531625 887720480 976492528 1109650600 1220615660 1387063250 1525769575 1952985056 2219301200 2441231320 2774126500 3051539150 4438602400 4882462640 5548253000 6103078300 7628847875 9764925280 11096506000 12206156600 15257695750 22193012000 24412313200 30515391500 48824626400 61030783000 122061566000 244123132000