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44003011130320 = 24511433371344963
BaseRepresentation
bin10100000000101001111111…
…10110001111001111010000
312202210122110111120222111211
422000110333312033033100
521231421131322132240
6233330412041145504
712161053431200344
oct1200247766171720
9182718414528454
1044003011130320
11130256326994a0
124b280b348b294
131b7260a1738c8
14ac1a856bb624
15514945218bea
hex28053fd8f3d0

44003011130320 has 160 divisors (see below), whose sum is σ = 114237373054464. Its totient is φ = 15624294873600.

The previous prime is 44003011130279. The next prime is 44003011130347. The reversal of 44003011130320 is 2303111030044.

44003011130320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 44003011130291 and 44003011130300.

It is a congruent number.

It is an unprimeable number.

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, 127386159 + ... + 127731121.

Almost surely, 244003011130320 is an apocalyptic number.

44003011130320 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 44003011130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57118686527232).

44003011130320 is an abundant number, since it is smaller than the sum of its proper divisors (70234361924144).

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

44003011130320 is a wasteful number, since it uses less digits than its factorization.

44003011130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348401 (or 348395 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 44003011130320 its reverse (2303111030044), we get a palindrome (46306122160364).

The spelling of 44003011130320 in words is "forty-four trillion, three billion, eleven million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 43 44 55 80 86 88 110 172 176 215 220 344 430 440 473 688 860 880 946 1720 1892 2365 3371 3440 3784 4730 6742 7568 9460 13484 16855 18920 26968 33710 37081 37840 53936 67420 74162 134840 144953 148324 185405 269680 289906 296648 344963 370810 579812 593296 689926 724765 741620 1159624 1379852 1449530 1483240 1594483 1724815 2319248 2759704 2899060 2966480 3188966 3449630 3794593 5519408 5798120 6377932 6899260 7589186 7972415 11596240 12755864 13798520 14833409 15178372 15944830 18972965 25511728 27597040 29666818 30356744 31889660 37945930 59333636 60713488 63779320 74167045 75891860 118667272 127558640 148334090 151783720 163167499 237334544 296668180 303567440 326334998 593336360 652669996 815837495 1162870273 1186672720 1305339992 1631674990 2325740546 2610679984 3263349980 4651481092 5814351365 6526699960 9302962184 11628702730 12791573003 13053399920 18605924368 23257405460 25583146006 46514810920 50003421739 51166292012 63957865015 93029621840 100006843478 102332584024 127915730030 200013686956 204665168048 250017108695 255831460060 400027373912 500034217390 511662920120 550037639129 800054747824 1000068434780 1023325840240 1100075278258 2000136869560 2200150556516 2750188195645 4000273739120 4400301113032 5500376391290 8800602226064 11000752782580 22001505565160 44003011130320