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42121321424 = 2471331933209
BaseRepresentation
bin100111001110101000…
…000101101111010000
311000201111200211102122
4213032220011233100
51142231024241144
631203354033412
73020543216240
oct471650055720
9130644624378
1042121321424
111695542a246
1281b6418868
133c836c7140
142078207b20
151167d617ee
hex9cea05bd0

42121321424 has 80 divisors (see below), whose sum is σ = 103683363840. Its totient is φ = 16125834240.

The previous prime is 42121321409. The next prime is 42121321433. The reversal of 42121321424 is 42412312124.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 42121321393 and 42121321402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421469 + ... + 511740.

It is an arithmetic number, because the mean of its divisors is an integer number (1296042048).

Almost surely, 242121321424 is an apocalyptic number.

It is an amenable number.

42121321424 is an abundant number, since it is smaller than the sum of its proper divisors (61562042416).

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

42121321424 is a wasteful number, since it uses less digits than its factorization.

42121321424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933268 (or 933262 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

Adding to 42121321424 its reverse (42412312124), we get a palindrome (84533633548).

The spelling of 42121321424 in words is "forty-two billion, one hundred twenty-one million, three hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 104 112 124 182 208 217 248 364 403 434 496 728 806 868 1456 1612 1736 2821 3224 3472 5642 6448 11284 22568 45136 933209 1866418 3732836 6532463 7465672 12131717 13064926 14931344 24263434 26129852 28929479 48526868 52259704 57858958 84922019 97053736 104519408 115717916 169844038 194107472 202506353 231435832 339688076 376083227 405012706 462871664 679376152 752166454 810025412 1358752304 1504332908 1620050824 2632582589 3008665816 3240101648 5265165178 6017331632 10530330356 21060660712 42121321424