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13044112000000 = 21056815257
BaseRepresentation
bin1011110111010001000110…
…1010011000010000000000
31201012000010121000022100021
42331310101222120100000
53202203320133000000
643424214325503224
72514256153410364
oct275642152302000
951160117008307
1013044112000000
114179a8218a244
121568052871b14
13738092914b73
143314a477d2a4
1517949216911a
hexbdd11a98400

13044112000000 has 154 divisors (see below), whose sum is σ = 32593979783906. Its totient is φ = 5217638400000.

The previous prime is 13044111999901. The next prime is 13044112000019. The reversal of 13044112000000 is 21144031.

It can be written as a sum of positive squares in 7 ways, for example, as 12139147920384 + 904964079616 = 3484128^2 + 951296^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 13 ways as a sum of consecutive naturals, for example, 15592372 + ... + 16407628.

Almost surely, 213044112000000 is an apocalyptic number.

13044112000000 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 13044112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16296989891953).

13044112000000 is an abundant number, since it is smaller than the sum of its proper divisors (19549867783906).

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

13044112000000 is an frugal number, since it uses more digits than its factorization.

13044112000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815307 (or 815264 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13044112000000 its reverse (21144031), we get a palindrome (13044133144031).

The spelling of 13044112000000 in words is "thirteen trillion, forty-four billion, one hundred twelve million", and thus it is an aban number.

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 15625 16000 20000 25000 25600 31250 32000 40000 50000 62500 64000 80000 100000 125000 128000 160000 200000 250000 320000 400000 500000 640000 800000 815257 1000000 1600000 1630514 2000000 3200000 3261028 4000000 4076285 6522056 8000000 8152570 13044112 16000000 16305140 20381425 26088224 32610280 40762850 52176448 65220560 81525700 101907125 104352896 130441120 163051400 203814250 208705792 260882240 326102800 407628500 417411584 509535625 521764480 652205600 815257000 834823168 1019071250 1043528960 1304411200 1630514000 2038142500 2087057920 2547678125 2608822400 3261028000 4076285000 4174115840 5095356250 5217644800 6522056000 8152570000 10190712500 10435289600 12738390625 13044112000 16305140000 20381425000 20870579200 25476781250 26088224000 32610280000 40762850000 50953562500 52176448000 65220560000 81525700000 101907125000 104352896000 130441120000 163051400000 203814250000 260882240000 326102800000 407628500000 521764480000 652205600000 815257000000 1304411200000 1630514000000 2608822400000 3261028000000 6522056000000 13044112000000