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2313404441000 = 235312773324851
BaseRepresentation
bin100001101010100001101…
…001100110000110101000
322012011022010121000220222
4201222201221212012220
5300400323014103000
64530432513505212
7326065214204342
oct41524151460650
98164263530828
102313404441000
11812122550aa4
1231442a572208
1313a1cb49c773
147dd7dd5a292
154029c37ca85
hex21aa1a661a8

2313404441000 has 128 divisors (see below), whose sum is σ = 5463654543360. Its totient is φ = 916786080000.

The previous prime is 2313404440951. The next prime is 2313404441059. The reversal of 2313404441000 is 1444043132.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93078575 + ... + 93103425.

It is an arithmetic number, because the mean of its divisors is an integer number (42684801120).

Almost surely, 22313404441000 is an apocalyptic number.

2313404441000 is a gapful number since it is divisible by the number (20) 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 2313404441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731827271680).

2313404441000 is an abundant number, since it is smaller than the sum of its proper divisors (3150250102360).

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

2313404441000 is a wasteful number, since it uses less digits than its factorization.

2313404441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25732 (or 25718 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 2313404441000 its reverse (1444043132), we get a palindrome (2314848484132).

The spelling of 2313404441000 in words is "two trillion, three hundred thirteen billion, four hundred four million, four hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 127 200 250 254 500 508 635 733 1000 1016 1270 1466 2540 2932 3175 3665 5080 5864 6350 7330 12700 14660 15875 18325 24851 25400 29320 31750 36650 49702 63500 73300 91625 93091 99404 124255 127000 146600 183250 186182 198808 248510 366500 372364 465455 497020 621275 733000 744728 930910 994040 1242550 1861820 2327275 2485100 3106375 3156077 3723640 4654550 4970200 6212750 6312154 9309100 11636375 12425500 12624308 15780385 18215783 18618200 23272750 24851000 25248616 31560770 36431566 46545500 63121540 72863132 78901925 91078915 93091000 126243080 145726264 157803850 182157830 315607700 364315660 394509625 455394575 631215400 728631320 789019250 910789150 1578038500 1821578300 2276972875 2313404441 3156077000 3643156600 4553945750 4626808882 9107891500 9253617764 11567022205 18215783000 18507235528 23134044410 46268088820 57835111025 92536177640 115670222050 231340444100 289175555125 462680888200 578351110250 1156702220500 2313404441000