Search a number
-
+
244122251453000 = 23532571066389083
BaseRepresentation
bin110111100000011100100100…
…000101000110001001001000
31012000100212012102221001012122
4313200130210011012021020
5223444144332332444000
62223112114124430412
7102264151652524664
oct6740344405061110
91160325172831178
10244122251453000
117086a735767068
12234686400a8408
13a62a82511462b
14443d8197b78a4
151d352a76ee085
hexde0724146248

244122251453000 has 128 divisors (see below), whose sum is σ = 573529035006720. Its totient is φ = 97258729881600.

The previous prime is 244122251452979. The next prime is 244122251453099. The reversal of 244122251453000 is 354152221442.

It is a super-2 number, since 2×2441222514530002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2740346459 + ... + 2740435541.

It is an arithmetic number, because the mean of its divisors is an integer number (4480695585990).

Almost surely, 2244122251453000 is an apocalyptic number.

244122251453000 is a gapful number since it is divisible by the number (20) 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 244122251453000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286764517503360).

244122251453000 is an abundant number, since it is smaller than the sum of its proper divisors (329406783553720).

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

244122251453000 is a wasteful number, since it uses less digits than its factorization.

244122251453000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100024 (or 100010 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 244122251453000 in words is "two hundred forty-four trillion, one hundred twenty-two billion, two hundred fifty-one million, four hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 257 500 514 1000 1028 1285 2056 2570 5140 6425 10280 10663 12850 21326 25700 32125 42652 51400 53315 64250 85304 89083 106630 128500 178166 213260 257000 266575 356332 426520 445415 533150 712664 890830 1066300 1332875 1781660 2132600 2227075 2665750 2740391 3563320 4454150 5331500 5480782 8908300 10663000 10961564 11135375 13701955 17816600 21923128 22270750 22894331 27403910 44541500 45788662 54807820 68509775 89083000 91577324 109615640 114471655 137019550 183154648 228943310 274039100 342548875 457886620 548078200 572358275 685097750 915773240 949892029 1144716550 1370195500 1899784058 2289433100 2740391000 2861791375 3799568116 4578866200 4749460145 5723582750 7599136232 9498920290 11447165500 18997840580 22894331000 23747300725 37995681160 47494601450 94989202900 118736503625 189978405800 237473007250 244122251453 474946014500 488244502906 949892029000 976489005812 1220611257265 1952978011624 2441222514530 4882445029060 6103056286325 9764890058120 12206112572650 24412225145300 30515281431625 48824450290600 61030562863250 122061125726500 244122251453000