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42129944416 = 257229926503
BaseRepresentation
bin100111001111001000…
…111110111101100000
311000202002220220221201
4213033020332331200
51142240231210131
631204302530544
73021006422200
oct471710767540
9130662826851
1042129944416
111695a28988a
1281b9296a54
133c85425cc1
142079410400
1511689b6761
hex9cf23ef60

42129944416 has 72 divisors (see below), whose sum is σ = 99812275920. Its totient is φ = 17433061632.

The previous prime is 42129944393. The next prime is 42129944431. The reversal of 42129944416 is 61444992124.

It is a super-3 number, since 3×421299444163 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 417780 + ... + 508723.

It is an arithmetic number, because the mean of its divisors is an integer number (1386281610).

Almost surely, 242129944416 is an apocalyptic number.

It is an amenable number.

42129944416 is an abundant number, since it is smaller than the sum of its proper divisors (57682331504).

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

42129944416 is a wasteful number, since it uses less digits than its factorization.

42129944416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926556 (or 926541 counting only the distinct ones).

The product of its digits is 497664, while the sum is 46.

The spelling of 42129944416 in words is "forty-two billion, one hundred twenty-nine million, nine hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 98 112 116 196 203 224 232 392 406 464 784 812 928 1421 1568 1624 2842 3248 5684 6496 11368 22736 45472 926503 1853006 3706012 6485521 7412024 12971042 14824048 25942084 26868587 29648096 45398647 51884168 53737174 90797294 103768336 107474348 181594588 188080109 207536672 214948696 363189176 376160218 429897392 726378352 752320436 859794784 1316560763 1452756704 1504640872 2633121526 3009281744 5266243052 6018563488 10532486104 21064972208 42129944416