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12404441000 = 2353717104239
BaseRepresentation
bin10111000110101110…
…01011111110101000
31012000111010220002202
423203113023332220
5200401014103000
65410514115332
7616252003010
oct134327137650
935014126082
1012404441000
115295a90136
1224a227bb48
131228b9c623
1485961ac40
154c900edd5
hex2e35cbfa8

12404441000 has 128 divisors (see below), whose sum is σ = 35124710400. Its totient is φ = 4002739200.

The previous prime is 12404440991. The next prime is 12404441003. The reversal of 12404441000 is 14440421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12404441003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66881 + ... + 171119.

It is an arithmetic number, because the mean of its divisors is an integer number (274411800).

Almost surely, 212404441000 is an apocalyptic number.

12404441000 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 12404441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17562355200).

12404441000 is an abundant number, since it is smaller than the sum of its proper divisors (22720269400).

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

12404441000 is a wasteful number, since it uses less digits than its factorization.

12404441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104284 (or 104270 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12404441000 its reverse (14440421), we get a palindrome (12418881421).

The spelling of 12404441000 in words is "twelve billion, four hundred four million, four hundred forty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 125 136 140 170 175 200 238 250 280 340 350 425 476 500 595 680 700 850 875 952 1000 1190 1400 1700 1750 2125 2380 2975 3400 3500 4250 4760 5950 7000 8500 11900 14875 17000 23800 29750 59500 104239 119000 208478 416956 521195 729673 833912 1042390 1459346 1772063 2084780 2605975 2918692 3544126 3648365 4169560 5211950 5837384 7088252 7296730 8860315 10423900 12404441 13029875 14176504 14593460 17720630 18241825 20847800 24808882 26059750 29186920 35441260 36483650 44301575 49617764 52119500 62022205 70882520 72967300 88603150 91209125 99235528 104239000 124044410 145934600 177206300 182418250 221507875 248088820 310111025 354412600 364836500 443015750 496177640 620222050 729673000 886031500 1240444100 1550555125 1772063000 2480888200 3101110250 6202220500 12404441000