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244242311104 = 261110113725073
BaseRepresentation
bin1110001101110111111…
…0011110011111000000
3212100102122222221210101
43203131332132133000
513000202012423404
6304111532212144
723434360250521
oct3433576363700
9770378887711
10244242311104
1194645465380
123b40430a054
131a055272b9c
14bb6dc7a848
1565475e72a4
hex38ddf9e7c0

244242311104 has 112 divisors (see below), whose sum is σ = 537883034976. Its totient is φ = 109113344000.

The previous prime is 244242311087. The next prime is 244242311123. The reversal of 244242311104 is 401113242442.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9728712 + ... + 9753784.

It is an arithmetic number, because the mean of its divisors is an integer number (4802527098).

Almost surely, 2244242311104 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 244242311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268941517488).

244242311104 is an abundant number, since it is smaller than the sum of its proper divisors (293640723872).

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

244242311104 is a wasteful number, since it uses less digits than its factorization.

244242311104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25334 (or 25324 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 244242311104 its reverse (401113242442), we get a palindrome (645355553546).

The spelling of 244242311104 in words is "two hundred forty-four billion, two hundred forty-two million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 137 176 202 274 352 404 548 704 808 1096 1111 1507 1616 2192 2222 3014 3232 4384 4444 6028 6464 8768 8888 12056 13837 17776 24112 25073 27674 35552 48224 50146 55348 71104 96448 100292 110696 152207 200584 221392 275803 304414 401168 442784 551606 608828 802336 885568 1103212 1217656 1604672 2206424 2435312 2532373 3435001 4412848 4870624 5064746 6870002 8825696 9741248 10129492 13740004 17651392 20258984 27480008 27856103 37785011 40517968 54960016 55712206 75570022 81035936 109920032 111424412 151140044 162071872 219840064 222848824 302280088 346935101 445697648 604560176 693870202 891395296 1209120352 1387740404 1782790592 2418240704 2775480808 3816286111 5550961616 7632572222 11101923232 15265144444 22203846464 30530288888 61060577776 122121155552 244242311104