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44342434100 = 22523153269887
BaseRepresentation
bin101001010011000000…
…111101100100110100
311020110022010001020002
4221103000331210310
51211303130342400
632212020130432
73126563320346
oct512300754464
9136408101202
1044342434100
111789516a058
128716236a18
13424890b4b3
1422091bd296
151247d4ded5
hexa5303d934

44342434100 has 72 divisors (see below), whose sum is σ = 101201522688. Its totient is φ = 16840886400.

The previous prime is 44342434067. The next prime is 44342434117. The reversal of 44342434100 is 143424344.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29357 + ... + 299243.

It is an arithmetic number, because the mean of its divisors is an integer number (1405576704).

Almost surely, 244342434100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44342434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50600761344).

44342434100 is an abundant number, since it is smaller than the sum of its proper divisors (56859088588).

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

44342434100 is a wasteful number, since it uses less digits than its factorization.

44342434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269985 (or 269978 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 44342434100 its reverse (143424344), we get a palindrome (44485858444).

The spelling of 44342434100 in words is "forty-four billion, three hundred forty-two million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 53 62 100 106 124 155 212 265 310 530 620 775 1060 1325 1550 1643 2650 3100 3286 5300 6572 8215 16430 32860 41075 82150 164300 269887 539774 1079548 1349435 2698870 5397740 6747175 8366497 13494350 14304011 16732994 26988700 28608022 33465988 41832485 57216044 71520055 83664970 143040110 167329940 209162425 286080220 357600275 418324850 443424341 715200550 836649700 886848682 1430401100 1773697364 2217121705 4434243410 8868486820 11085608525 22171217050 44342434100