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56144020000 = 25549672903
BaseRepresentation
bin110100010010011100…
…011100001000100000
312100220202212201121011
4310102130130020200
51404440332120000
641443041110304
74025205203335
oct642234341040
9170822781534
1056144020000
11218a0921232
12aa6a628394
1353a9922813
142a0870c98c
1516d8e7a2ba
hexd1271c220

56144020000 has 120 divisors (see below), whose sum is σ = 138313175616. Its totient is φ = 22426656000.

The previous prime is 56144019979. The next prime is 56144020003. The reversal of 56144020000 is 2044165.

It is not an unprimeable number, because it can be changed into a prime (56144020003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19338549 + ... + 19341451.

Almost surely, 256144020000 is an apocalyptic number.

56144020000 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 56144020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69156587808).

56144020000 is an abundant number, since it is smaller than the sum of its proper divisors (82169155616).

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

56144020000 is an equidigital number, since it uses as much as digits as its factorization.

56144020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3900 (or 3877 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 56144020000 its reverse (2044165), we get a palindrome (56146064165).

The spelling of 56144020000 in words is "fifty-six billion, one hundred forty-four million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 967 1000 1250 1934 2000 2500 2903 3868 4000 4835 5000 5806 7736 9670 10000 11612 14515 15472 19340 20000 23224 24175 29030 30944 38680 46448 48350 58060 72575 77360 92896 96700 116120 120875 145150 154720 193400 232240 241750 290300 362875 386800 464480 483500 580600 604375 725750 773600 967000 1161200 1208750 1451500 1814375 1934000 2322400 2417500 2807201 2903000 3628750 3868000 4835000 5614402 5806000 7257500 9670000 11228804 11612000 14036005 14515000 19340000 22457608 28072010 29030000 44915216 56144020 58060000 70180025 89830432 112288040 140360050 224576080 280720100 350900125 449152160 561440200 701800250 1122880400 1403600500 1754500625 2245760800 2807201000 3509001250 5614402000 7018002500 11228804000 14036005000 28072010000 56144020000