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413141166 = 23261587641
BaseRepresentation
bin11000101000000…
…000100010101110
31001210101202010200
4120220000202232
51321231004131
6104555014330
713144433124
oct3050004256
91053352120
10413141166
111a2231089
12b643a3a6
1367792b39
143cc25914
152640c2e6
hex18a008ae

413141166 has 48 divisors (see below), whose sum is σ = 912785328. Its totient is φ = 135014400.

The previous prime is 413141161. The next prime is 413141171. The reversal of 413141166 is 661141314.

It is an interprime number because it is at equal distance from previous prime (413141161) and next prime (413141171).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413141161) 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, 644206 + ... + 644846.

It is an arithmetic number, because the mean of its divisors is an integer number (19016361).

Almost surely, 2413141166 is an apocalyptic number.

413141166 is an abundant number, since it is smaller than the sum of its proper divisors (499644162).

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

413141166 is a wasteful number, since it uses less digits than its factorization.

413141166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1294 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 413141166 is about 20325.8742985388. The cubic root of 413141166 is about 744.7882622753.

The spelling of 413141166 in words is "four hundred thirteen million, one hundred forty-one thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 587 641 1098 1174 1282 1761 1923 3522 3846 5283 5769 10566 11538 35807 39101 71614 78202 107421 117303 214842 234606 322263 351909 376267 644526 703818 752534 1128801 2257602 3386403 6772806 22952287 45904574 68856861 137713722 206570583 413141166