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51344044000 = 255370118311
BaseRepresentation
bin101111110100010101…
…111110111111100000
311220112020212200101021
4233310111332333200
51320123033402000
635330453015224
73465232113244
oct576425767740
9156466780337
1051344044000
111a858413217
129b4b024514
134ac3359132
1426b1038424
15150788511a
hexbf457efe0

51344044000 has 96 divisors (see below), whose sum is σ = 126339175872. Its totient is φ = 20507200000.

The previous prime is 51344043983. The next prime is 51344044021. The reversal of 51344044000 is 44044315.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2794845 + ... + 2813155.

It is an arithmetic number, because the mean of its divisors is an integer number (1316033082).

Almost surely, 251344044000 is an apocalyptic number.

51344044000 is a gapful number since it is divisible by the number (50) 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 51344044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63169587936).

51344044000 is an abundant number, since it is smaller than the sum of its proper divisors (74995131872).

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

51344044000 is a wasteful number, since it uses less digits than its factorization.

51344044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19037 (or 19019 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 51344044000 its reverse (44044315), we get a palindrome (51388088315).

The spelling of 51344044000 in words is "fifty-one billion, three hundred forty-four million, forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 701 800 1000 1402 2000 2804 3505 4000 5608 7010 11216 14020 17525 18311 22432 28040 35050 36622 56080 70100 73244 87625 91555 112160 140200 146488 175250 183110 280400 292976 350500 366220 457775 560800 585952 701000 732440 915550 1402000 1464880 1831100 2288875 2804000 2929760 3662200 4577750 7324400 9155500 12836011 14648800 18311000 25672022 36622000 51344044 64180055 73244000 102688088 128360110 205376176 256720220 320900275 410752352 513440440 641800550 1026880880 1283601100 1604501375 2053761760 2567202200 3209002750 5134404400 6418005500 10268808800 12836011000 25672022000 51344044000