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42311013144 = 23359137218107
BaseRepresentation
bin100111011001111011…
…101101001100011000
311001012201122011112220
4213121323231030120
51143123104410034
631234251504040
73025335451311
oct473173551430
9131181564486
1042311013144
1116a42511464
128249a58020
133cb3ab246a
1420954a5608
151179831749
hex9d9eed318

42311013144 has 64 divisors (see below), whose sum is σ = 108356054400. Its totient is φ = 13763361024.

The previous prime is 42311013127. The next prime is 42311013149. The reversal of 42311013144 is 44131011324.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42311013149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84939 + ... + 303045.

It is an arithmetic number, because the mean of its divisors is an integer number (1693063350).

Almost surely, 242311013144 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 42311013144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54178027200).

42311013144 is an abundant number, since it is smaller than the sum of its proper divisors (66045041256).

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

42311013144 is a wasteful number, since it uses less digits than its factorization.

42311013144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218312 (or 218308 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 42311013144 its reverse (44131011324), we get a palindrome (86442024468).

The spelling of 42311013144 in words is "forty-two billion, three hundred eleven million, thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 59 118 137 177 236 274 354 411 472 548 708 822 1096 1416 1644 3288 8083 16166 24249 32332 48498 64664 96996 193992 218107 436214 654321 872428 1308642 1744856 2617284 5234568 12868313 25736626 29880659 38604939 51473252 59761318 77209878 89641977 102946504 119522636 154419756 179283954 239045272 308839512 358567908 717135816 1762958881 3525917762 5288876643 7051835524 10577753286 14103671048 21155506572 42311013144