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42412197141 = 3259832633659
BaseRepresentation
bin100111011111111101…
…101100010100010101
311001110210000211220100
4213133331230110111
51143330010302031
631252304324313
73031004504346
oct473775542425
9131423024810
1042412197141
1116a946414a6
128277913699
133ccba4bb52
1420a4ac40cd
15118366bde6
hex9dff6c515

42412197141 has 48 divisors (see below), whose sum is σ = 63308044800. Its totient is φ = 27348788256.

The previous prime is 42412197127. The next prime is 42412197167. The reversal of 42412197141 is 14179121424.

It is a happy number.

42412197141 is a `hidden beast` number, since 42 + 412 + 197 + 14 + 1 = 666.

It is not a de Polignac number, because 42412197141 - 210 = 42412196117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42412197096 and 42412197105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42412197241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11589370 + ... + 11593028.

It is an arithmetic number, because the mean of its divisors is an integer number (1318917600).

Almost surely, 242412197141 is an apocalyptic number.

It is an amenable number.

42412197141 is a deficient number, since it is larger than the sum of its proper divisors (20895847659).

42412197141 is a wasteful number, since it uses less digits than its factorization.

42412197141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4070 (or 4067 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The spelling of 42412197141 in words is "forty-two billion, four hundred twelve million, one hundred ninety-seven thousand, one hundred forty-one".

Divisors: 1 3 9 59 83 177 249 263 531 747 789 2367 3659 4897 10977 14691 15517 21829 32931 44073 46551 65487 139653 196461 215881 303697 647643 911091 962317 1287911 1942929 2733273 2886951 3863733 8660853 11591199 17918123 53754369 56776703 79872311 161263107 170330109 239616933 510990327 718850799 4712466349 14137399047 42412197141