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401000413 = 11237432083
BaseRepresentation
bin10111111001101…
…100011111011101
31000221112221011011
4113321230133131
51310124003123
6103442455221
712636306262
oct2771543735
91027487134
10401000413
11196399600
12b2364511
1365101a68
143b385269
152530ee0d
hex17e6c7dd

401000413 has 24 divisors (see below), whose sum is σ = 463431584. Its totient is φ = 346278240.

The previous prime is 401000399. The next prime is 401000417. The reversal of 401000413 is 314000104.

It is a de Polignac number, because none of the positive numbers 2k-401000413 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 401000393 and 401000402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401000417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191470 + ... + 193552.

Almost surely, 2401000413 is an apocalyptic number.

401000413 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

401000413 is a deficient number, since it is larger than the sum of its proper divisors (62431171).

401000413 is a wasteful number, since it uses less digits than its factorization.

401000413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 401000413 is about 20024.9947066160. The cubic root of 401000413 is about 737.4200471786.

Adding to 401000413 its reverse (314000104), we get a palindrome (715000517).

The spelling of 401000413 in words is "four hundred one million, four hundred thirteen", and thus it is an aban number.

Divisors: 1 11 37 43 121 407 473 1591 2083 4477 5203 17501 22913 77071 89569 192511 252043 847781 985259 3314053 9325591 10837849 36454583 401000413