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412023410029 = 7211269492901
BaseRepresentation
bin1011111111011101000…
…00100100110101101101
31110101111121201212212101
411333232200210311231
523222310443110104
6513140403335101
741524216125400
oct5775640446555
91411447655771
10412023410029
11149813523300
1267a29981491
132cb135ab44a
1415d28d55d37
15aab72405a4
hex5fee824d6d

412023410029 has 18 divisors (see below), whose sum is σ = 526825690062. Its totient is φ = 321057198000.

The previous prime is 412023410023. The next prime is 412023410047. The reversal of 412023410029 is 920014320214.

It can be written as a sum of positive squares in only one way, i.e., 335822568004 + 76200842025 = 579502^2 + 276045^2 .

It is not a de Polignac number, because 412023410029 - 221 = 412021312877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 412023409979 and 412023410006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412023410023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34740522 + ... + 34752379.

Almost surely, 2412023410029 is an apocalyptic number.

412023410029 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

412023410029 is a deficient number, since it is larger than the sum of its proper divisors (114802280033).

412023410029 is a wasteful number, since it uses less digits than its factorization.

412023410029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69492937 (or 69492919 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 412023410029 in words is "four hundred twelve billion, twenty-three million, four hundred ten thousand, twenty-nine".

Divisors: 1 7 11 49 77 121 539 847 5929 69492901 486450307 764421911 3405152149 5350953377 8408641021 37456673639 58860487147 412023410029