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42033322344 = 233133141105997
BaseRepresentation
bin100111001001011000…
…011001100101101000
311000111101010000101110
4213021120121211220
51142041012303334
631150531550320
73015424226166
oct471130314550
9130441100343
1042033322344
111690a795232
128190a5b3a0
133c6b3c5b90
14206a65c236
15116027cae9
hex9c9619968

42033322344 has 128 divisors (see below), whose sum is σ = 119667502080. Its totient is φ = 12210739200.

The previous prime is 42033322321. The next prime is 42033322363. The reversal of 42033322344 is 44322333024.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343554 + ... + 449550.

It is an arithmetic number, because the mean of its divisors is an integer number (934902360).

Almost surely, 242033322344 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 42033322344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59833751040).

42033322344 is an abundant number, since it is smaller than the sum of its proper divisors (77634179736).

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

42033322344 is a wasteful number, since it uses less digits than its factorization.

42033322344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106091 (or 106087 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 42033322344 its reverse (44322333024), we get a palindrome (86355655368).

The spelling of 42033322344 in words is "forty-two billion, thirty-three million, three hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 41 52 62 78 82 93 104 123 124 156 164 186 246 248 312 328 372 403 492 533 744 806 984 1066 1209 1271 1599 1612 2132 2418 2542 3198 3224 3813 4264 4836 5084 6396 7626 9672 10168 12792 15252 16523 30504 33046 49569 66092 99138 105997 132184 198276 211994 317991 396552 423988 635982 847976 1271964 1377961 2543928 2755922 3285907 4133883 4345877 5511844 6571814 8267766 8691754 9857721 11023688 13037631 13143628 16535532 17383508 19715442 26075262 26287256 33071064 34767016 39430884 42716791 52150524 56496401 78861768 85433582 104301048 112992802 128150373 134722187 169489203 170867164 225985604 256300746 269444374 338978406 341734328 404166561 451971208 512601492 538888748 677956812 808333122 1025202984 1077777496 1355913624 1616666244 1751388431 3233332488 3502776862 5254165293 7005553724 10508330586 14011107448 21016661172 42033322344