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42021344001 = 374134431013
BaseRepresentation
bin100111001000101010…
…101101001100000001
311000110112120110012010
4213020222231030001
51142024431002001
631145423123133
73015220350000
oct471052551401
9130415513163
1042021344001
1116903a5377a
128188a434a9
133c68a909c0
142068c20c37
15115e1b38d6
hex9c8aad301

42021344001 has 80 divisors (see below), whose sum is σ = 70619080896. Its totient is φ = 22093239168.

The previous prime is 42021343993. The next prime is 42021344017. The reversal of 42021344001 is 10044312024.

It is not a de Polignac number, because 42021344001 - 23 = 42021343993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (42021344021) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41481571 + ... + 41482583.

Almost surely, 242021344001 is an apocalyptic number.

It is an amenable number.

42021344001 is a deficient number, since it is larger than the sum of its proper divisors (28597736895).

42021344001 is a wasteful number, since it uses less digits than its factorization.

42021344001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 42021344001 its reverse (10044312024), we get a palindrome (52065656025).

The spelling of 42021344001 in words is "forty-two billion, twenty-one million, three hundred forty-four thousand, one".

Divisors: 1 3 7 13 21 39 49 91 147 273 343 443 637 1013 1029 1329 1911 2401 3039 3101 4459 5759 7091 7203 9303 13169 13377 17277 21273 21707 31213 39507 40313 49637 65121 92183 93639 120939 148911 151949 276549 282191 347459 448759 455847 645281 846573 1042377 1063643 1346277 1935843 1975337 2432213 3141313 3190929 4516967 5833867 5926011 7296639 9423939 13550901 13827359 17501601 21989191 31618769 40837069 41482077 65967573 94856307 122511207 153924337 285859483 461773011 857578449 1077470359 2001016381 3232411077 6003049143 14007114667 42021344001