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104020444442300 = 22526773972192549
BaseRepresentation
bin10111101001101100100101…
…101000111110111010111100
3111122022020221121211111200112
4113221230211220332322330
5102113232332234123200
61005122155452045152
730624141404063411
oct2751544550767274
9448266847744615
10104020444442300
1130164906097951
12b7bba384637b8
13460711671b3c9
141b9888b48a108
15c05c25537535
hex5e9b25a3eebc

104020444442300 has 144 divisors (see below), whose sum is σ = 234625898085600. Its totient is φ = 40008914288640.

The previous prime is 104020444442293. The next prime is 104020444442311. The reversal of 104020444442300 is 3244444020401.

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, 46346426 + ... + 48538974.

Almost surely, 2104020444442300 is an apocalyptic number.

104020444442300 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 104020444442300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117312949042800).

104020444442300 is an abundant number, since it is smaller than the sum of its proper divisors (130605453643300).

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

104020444442300 is a wasteful number, since it uses less digits than its factorization.

104020444442300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192800 (or 2192793 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 104020444442300 its reverse (3244444020401), we get a palindrome (107264888462701).

The spelling of 104020444442300 in words is "one hundred four trillion, twenty billion, four hundred forty-four million, four hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 67 73 97 100 134 146 194 268 292 335 365 388 485 670 730 970 1340 1460 1675 1825 1940 2425 3350 3650 4850 4891 6499 6700 7081 7300 9700 9782 12998 14162 19564 24455 25996 28324 32495 35405 48910 64990 70810 97820 122275 129980 141620 162475 177025 244550 324950 354050 474427 489100 649900 708100 948854 1897708 2192549 2372135 4385098 4744270 8770196 9488540 10962745 11860675 21925490 23721350 43850980 47442700 54813725 109627450 146900783 160056077 212677253 219254900 293801566 320112154 425354506 587603132 640224308 734503915 800280385 850709012 1063386265 1469007830 1600560770 2126772530 2938015660 3201121540 3672519575 4001401925 4253545060 5316931325 7345039150 8002803850 10633862650 10723757159 14249375951 14690078300 15525439469 16005607700 21267725300 21447514318 28498751902 31050878938 42895028636 53618785795 56997503804 62101757876 71246879755 77627197345 107237571590 142493759510 155254394690 214475143180 268093928975 284987519020 310508789380 356234398775 388135986725 536187857950 712468797550 776271973450 1040204444423 1072375715900 1424937595100 1552543946900 2080408888846 4160817777692 5201022222115 10402044444230 20804088888460 26005111110575 52010222221150 104020444442300