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104440134134300 = 225212720879393871
BaseRepresentation
bin10111101111110011011101…
…000110000110101000011100
3111200210101020112000212101012
4113233303131012012220130
5102142121343314244200
61010043045114434352
730666356612440316
oct2757633506065034
9450711215025335
10104440134134300
11303068a2a74278
12b8692457329b8
13463787c367773
141bb0d0263a7b6
15c11ada803a35
hex5efcdd186a1c

104440134134300 has 72 divisors (see below), whose sum is σ = 228431139471360. Its totient is φ = 41445018014400.

The previous prime is 104440134134267. The next prime is 104440134134309. The reversal of 104440134134300 is 3431431044401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104440134134309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264966365 + ... + 265360235.

It is an arithmetic number, because the mean of its divisors is an integer number (3172654714880).

Almost surely, 2104440134134300 is an apocalyptic number.

104440134134300 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 104440134134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114215569735680).

104440134134300 is an abundant number, since it is smaller than the sum of its proper divisors (123991005337060).

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

104440134134300 is a wasteful number, since it uses less digits than its factorization.

104440134134300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414891 (or 414884 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 104440134134300 its reverse (3431431044401), we get a palindrome (107871565178701).

The spelling of 104440134134300 in words is "one hundred four trillion, four hundred forty billion, one hundred thirty-four million, one hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 127 254 508 635 1270 2540 3175 6350 12700 20879 41758 83516 104395 208790 393871 417580 521975 787742 1043950 1575484 1969355 2087900 2651633 3938710 5303266 7877420 9846775 10606532 13258165 19693550 26516330 39387100 50021617 53032660 66290825 100043234 132581650 200086468 250108085 265163300 500216170 1000432340 1250540425 2501080850 5002161700 8223632609 16447265218 32894530436 41118163045 82236326090 164472652180 205590815225 411181630450 822363260900 1044401341343 2088802682686 4177605365372 5222006706715 10444013413430 20888026826860 26110033533575 52220067067150 104440134134300