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24442343112 = 233114316712893
BaseRepresentation
bin10110110000111000…
…001000111011001000
32100002102120200101010
4112300320020323020
5400024214434422
615121220123520
71523463326355
oct266070107310
970072520333
1024442343112
11a40307a170
1248a18365a0
1323c6b44b25
14127c2a362c
15980c6ab0c
hex5b0e08ec8

24442343112 has 128 divisors (see below), whose sum is σ = 68624962560. Its totient is φ = 7190641920.

The previous prime is 24442343099. The next prime is 24442343117. The reversal of 24442343112 is 21134324442.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 24442343112.

It is not an unprimeable number, because it can be changed into a prime (24442343117) 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, 1889338 + ... + 1902230.

It is an arithmetic number, because the mean of its divisors is an integer number (536132520).

Almost surely, 224442343112 is an apocalyptic number.

24442343112 is a gapful number since it is divisible by the number (22) 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 24442343112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34312481280).

24442343112 is an abundant number, since it is smaller than the sum of its proper divisors (44182619448).

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

24442343112 is a wasteful number, since it uses less digits than its factorization.

24442343112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13123 (or 13119 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 24442343112 its reverse (21134324442), we get a palindrome (45576667554).

The spelling of 24442343112 in words is "twenty-four billion, four hundred forty-two million, three hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 167 172 258 264 334 344 473 501 516 668 946 1002 1032 1336 1419 1837 1892 2004 2838 3674 3784 4008 5511 5676 7181 7348 11022 11352 12893 14362 14696 21543 22044 25786 28724 38679 43086 44088 51572 57448 77358 78991 86172 103144 141823 154716 157982 172344 236973 283646 309432 315964 425469 473946 554399 567292 631928 850938 947892 1108798 1134584 1663197 1701876 1895784 2153131 2217596 3326394 3403752 4306262 4435192 6098389 6459393 6652788 8612524 12196778 12918786 13305576 17225048 18295167 23684441 24393556 25837572 36590334 47368882 48787112 51675144 71053323 73180668 92584633 94737764 142106646 146361336 185169266 189475528 277753899 284213292 370338532 555507798 568426584 740677064 1018430963 1111015596 2036861926 2222031192 3055292889 4073723852 6110585778 8147447704 12221171556 24442343112