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413029417332 = 223724709198997
BaseRepresentation
bin1100000001010100111…
…10001100000101110100
31110111002201201100110010
412000222132030011310
523231341012323312
6513424301500220
741561153056320
oct6005236140564
91414081640403
10413029417332
1114a18a37a4a4
126806a871670
132cc43b3ca3c
1415dc27c8980
15ab2570b93c
hex602a78c174

413029417332 has 48 divisors (see below), whose sum is σ = 1101461889920. Its totient is φ = 118003036032.

The previous prime is 413029417301. The next prime is 413029417337. The reversal of 413029417332 is 233714920314.

It is a super-2 number, since 2×4130294173322 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413029417337) 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, 1976058 + ... + 2175054.

Almost surely, 2413029417332 is an apocalyptic number.

413029417332 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

413029417332 is an abundant number, since it is smaller than the sum of its proper divisors (688432472588).

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

413029417332 is a wasteful number, since it uses less digits than its factorization.

413029417332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223720 (or 223718 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 413029417332 in words is "four hundred thirteen billion, twenty-nine million, four hundred seventeen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 24709 49418 74127 98836 148254 172963 198997 296508 345926 397994 518889 596991 691852 795988 1037778 1193982 1392979 2075556 2387964 2785958 4178937 5571916 8357874 16715748 4917016873 9834033746 14751050619 19668067492 29502101238 34419118111 59004202476 68838236222 103257354333 137676472444 206514708666 413029417332