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13044022400000 = 210554076257
BaseRepresentation
bin1011110111010000110001…
…0100100101010000000000
31201011222220100102011020202
42331310030110211100000
53202203124213300000
643424201405224332
72514254015002034
oct275641424452000
951158810364222
1013044022400000
114179a36651459
1215680288620a8
1373807a1a3007
143314968d81c4
1517948936add5
hexbdd0c525400

13044022400000 has 132 divisors (see below), whose sum is σ = 32592055092156. Its totient is φ = 5217607680000.

The previous prime is 13044022399997. The next prime is 13044022400047. The reversal of 13044022400000 is 422044031.

It can be written as a sum of positive squares in 6 ways, for example, as 9781981843456 + 3262040556544 = 3127616^2 + 1806112^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1161872 + ... + 5238128.

Almost surely, 213044022400000 is an apocalyptic number.

13044022400000 is a gapful number since it is divisible by the number (10) 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 13044022400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16296027546078).

13044022400000 is an abundant number, since it is smaller than the sum of its proper divisors (19548032692156).

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

13044022400000 is an frugal number, since it uses more digits than its factorization.

13044022400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4076302 (or 4076264 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 13044022400000 its reverse (422044031), we get a palindrome (13044444444031).

The spelling of 13044022400000 in words is "thirteen trillion, forty-four billion, twenty-two million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 5120 6250 6400 8000 10000 12500 12800 16000 20000 25000 25600 32000 40000 50000 64000 80000 100000 128000 160000 200000 320000 400000 640000 800000 1600000 3200000 4076257 8152514 16305028 20381285 32610056 40762570 65220112 81525140 101906425 130440224 163050280 203812850 260880448 326100560 407625700 509532125 521760896 652201120 815251400 1019064250 1043521792 1304402240 1630502800 2038128500 2087043584 2547660625 2608804480 3261005600 4076257000 4174087168 5095321250 5217608960 6522011200 8152514000 10190642500 10435217920 12738303125 13044022400 16305028000 20381285000 20870435840 25476606250 26088044800 32610056000 40762570000 50953212500 52176089600 65220112000 81525140000 101906425000 104352179200 130440224000 163050280000 203812850000 260880448000 326100560000 407625700000 521760896000 652201120000 815251400000 1304402240000 1630502800000 2608804480000 3261005600000 6522011200000 13044022400000