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42442440332000 = 255361717197099
BaseRepresentation
bin10011010011001111001101…
…00101000101001011100000
312120021110100122022110221112
421221213212211011023200
521030334104211111000
6230133442105042452
711640236144240132
oct1151474645051340
9176243318273845
1042442440332000
11125838131058a5
124915767486428
131a8b3c6c8a047
14a6a321857052
154d905a46b235
hex2699e69452e0

42442440332000 has 96 divisors (see below), whose sum is σ = 104450095058400. Its totient is φ = 16949459788800.

The previous prime is 42442440331909. The next prime is 42442440332003. The reversal of 42442440332000 is 23304424424.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42442440332003) 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, 6130550 + ... + 11066549.

It is an arithmetic number, because the mean of its divisors is an integer number (1088021823525).

Almost surely, 242442440332000 is an apocalyptic number.

42442440332000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42442440332000 is an abundant number, since it is smaller than the sum of its proper divisors (62007654726400).

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

42442440332000 is a wasteful number, since it uses less digits than its factorization.

42442440332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17197741 (or 17197723 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 42442440332000 its reverse (23304424424), we get a palindrome (42465744756424).

The spelling of 42442440332000 in words is "forty-two trillion, four hundred forty-two billion, four hundred forty million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 617 800 1000 1234 2000 2468 3085 4000 4936 6170 9872 12340 15425 19744 24680 30850 49360 61700 77125 98720 123400 154250 246800 308500 493600 617000 1234000 2468000 17197099 34394198 68788396 85985495 137576792 171970990 275153584 343941980 429927475 550307168 687883960 859854950 1375767920 1719709900 2149637375 2751535840 3439419800 4299274750 6878839600 8598549500 10610610083 13757679200 17197099000 21221220166 34394198000 42442440332 53053050415 68788396000 84884880664 106106100830 169769761328 212212201660 265265252075 339539522656 424424403320 530530504150 848848806640 1061061008300 1326326260375 1697697613280 2122122016600 2652652520750 4244244033200 5305305041500 8488488066400 10610610083000 21221220166000 42442440332000