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13044034113400 = 2352251333178007
BaseRepresentation
bin1011110111010000110100…
…0001010000111101111000
31201011222221011110021000101
42331310031001100331320
53202203140213112100
643424202504245144
72514254216365633
oct275641501207570
951158834407011
1013044034113400
114179a42221954
1215680307707b4
1373807c744714
143314982a6c1a
1517948a3d186a
hexbdd0d050f78

13044034113400 has 96 divisors (see below), whose sum is σ = 30457736830080. Its totient is φ = 5195199600000.

The previous prime is 13044034113347. The next prime is 13044034113431. The reversal of 13044034113400 is 431143044031.

It is a happy number.

13044034113400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167177197 + ... + 167255203.

It is an arithmetic number, because the mean of its divisors is an integer number (317268091980).

Almost surely, 213044034113400 is an apocalyptic number.

13044034113400 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 13044034113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15228868415040).

13044034113400 is an abundant number, since it is smaller than the sum of its proper divisors (17413702716680).

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

13044034113400 is a wasteful number, since it uses less digits than its factorization.

13044034113400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81605 (or 81596 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 13044034113400 its reverse (431143044031), we get a palindrome (13475177157431).

The spelling of 13044034113400 in words is "thirteen trillion, forty-four billion, thirty-four million, one hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 251 502 1004 1255 2008 2510 3331 5020 6275 6662 10040 12550 13324 16655 25100 26648 33310 50200 66620 78007 83275 133240 156014 166550 312028 333100 390035 624056 666200 780070 836081 1560140 1672162 1950175 3120280 3344324 3900350 4180405 6688648 7800700 8360810 15601400 16721620 19579757 20902025 33443240 39159514 41804050 78319028 83608100 97898785 156638056 167216200 195797570 259841317 391595140 489493925 519682634 783190280 978987850 1039365268 1299206585 1957975700 2078730536 2598413170 3915951400 5196826340 6496032925 10393652680 12992065850 25984131700 51968263400 65220170567 130440341134 260880682268 326100852835 521761364536 652201705670 1304403411340 1630504264175 2608806822680 3261008528350 6522017056700 13044034113400