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13044241334300 = 225211101228151473
BaseRepresentation
bin1011110111010001100101…
…0111110000000000011100
31201012000110121101011122112
42331310121113300000130
53202204101240144200
643424235225533152
72514262313626331
oct275643127600034
951160417334575
1013044241334300
11417a039196aa0
12156808a0441b8
137380b3659637
143314b7a08988
1517949d6b5535
hexbdd195f001c

13044241334300 has 144 divisors (see below), whose sum is σ = 31199289930144. Its totient is φ = 4694246400000.

The previous prime is 13044241334239. The next prime is 13044241334357. The reversal of 13044241334300 is 343314244031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253393364 + ... + 253444836.

It is an arithmetic number, because the mean of its divisors is an integer number (216661735626).

Almost surely, 213044241334300 is an apocalyptic number.

13044241334300 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 13044241334300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15599644965072).

13044241334300 is an abundant number, since it is smaller than the sum of its proper divisors (18155048595844).

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

13044241334300 is a wasteful number, since it uses less digits than its factorization.

13044241334300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53880 (or 53873 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 13044241334300 its reverse (343314244031), we get a palindrome (13387555578331).

The spelling of 13044241334300 in words is "thirteen trillion, forty-four billion, two hundred forty-one million, three hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2281 2525 4444 4562 5050 5555 9124 10100 11110 11405 22220 22810 25091 27775 45620 50182 51473 55550 57025 100364 102946 111100 114050 125455 205892 228100 230381 250910 257365 460762 501820 514730 566203 627275 921524 1029460 1132406 1151905 1254550 1286825 2264812 2303810 2509100 2534191 2573650 2831015 4607620 5068382 5147300 5198773 5662030 5759525 10136764 10397546 11324060 11519050 12670955 14155075 20795092 23038100 25341910 25993865 28310150 50683820 51987730 56620300 57186503 63354775 103975460 114373006 117409913 126709550 129969325 228746012 234819826 253419100 259938650 285932515 469639652 519877300 571865030 587049565 1143730060 1174099130 1291509043 1429662575 2348198260 2583018086 2859325150 2935247825 5166036172 5718650300 5870495650 6457545215 11740991300 11858401213 12915090430 23716802426 25830180860 32287726075 47433604852 59292006065 64575452150 118584012130 129150904300 130442413343 237168024260 260884826686 296460030325 521769653372 592920060650 652212066715 1185840121300 1304424133430 2608848266860 3261060333575 6522120667150 13044241334300