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44014231000 = 2353471914903
BaseRepresentation
bin101000111111011100…
…111101110111011000
311012121102112121012201
4220333130331313120
51210120120343000
632115253415544
73115466535115
oct507734756730
9135542477181
1044014231000
1117736982223
12864433a5b4
1341c591758c
1421b778790c
15122911d96a
hexa3f73ddd8

44014231000 has 128 divisors (see below), whose sum is σ = 105756917760. Its totient is φ = 17137392000.

The previous prime is 44014230973. The next prime is 44014231003. The reversal of 44014231000 is 13241044.

It is a super-2 number, since 2×440142310002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44014231003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8974549 + ... + 8979451.

It is an arithmetic number, because the mean of its divisors is an integer number (826225920).

Almost surely, 244014231000 is an apocalyptic number.

44014231000 is a gapful number since it is divisible by the number (40) 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 44014231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52878458880).

44014231000 is an abundant number, since it is smaller than the sum of its proper divisors (61742686760).

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

44014231000 is a wasteful number, since it uses less digits than its factorization.

44014231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5162 (or 5148 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 44014231000 its reverse (13241044), we get a palindrome (44027472044).

The spelling of 44014231000 in words is "forty-four billion, fourteen million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 191 200 235 250 376 382 470 500 764 940 955 1000 1175 1528 1880 1910 2350 3820 4700 4775 4903 5875 7640 8977 9400 9550 9806 11750 17954 19100 19612 23500 23875 24515 35908 38200 39224 44885 47000 47750 49030 71816 89770 95500 98060 122575 179540 191000 196120 224425 230441 245150 359080 448850 460882 490300 612875 897700 921764 936473 980600 1122125 1152205 1225750 1795400 1843528 1872946 2244250 2304410 2451500 3745892 4488500 4608820 4682365 4903000 5761025 7491784 8977000 9217640 9364730 11522050 18729460 23044100 23411825 28805125 37458920 44014231 46088200 46823650 57610250 88028462 93647300 115220500 117059125 176056924 187294600 220071155 230441000 234118250 352113848 440142310 468236500 880284620 936473000 1100355775 1760569240 2200711550 4401423100 5501778875 8802846200 11003557750 22007115500 44014231000