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416426131 = 1131101107113
BaseRepresentation
bin11000110100100…
…010100010010011
31002000120122021001
4120310202202103
51323101114011
6105153242431
713214364232
oct3064424223
91060518231
10416426131
111a4075130
12b7563417
13683730c4
143d43cb19
152685a7c1
hex18d22893

416426131 has 32 divisors (see below), whose sum is σ = 482236416. Its totient is φ = 356160000.

The previous prime is 416426123. The next prime is 416426183. The reversal of 416426131 is 131624614.

It is a cyclic number.

It is not a de Polignac number, because 416426131 - 23 = 416426123 is a prime.

It is a super-2 number, since 2×4164261312 = 346821445159258322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 416426131.

It is not an unprimeable number, because it can be changed into a prime (416426111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3685131 + ... + 3685243.

It is an arithmetic number, because the mean of its divisors is an integer number (15069888).

Almost surely, 2416426131 is an apocalyptic number.

416426131 is a deficient number, since it is larger than the sum of its proper divisors (65810285).

416426131 is a wasteful number, since it uses less digits than its factorization.

416426131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363.

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

The square root of 416426131 is about 20406.5217761381. The cubic root of 416426131 is about 746.7570384034.

The spelling of 416426131 in words is "four hundred sixteen million, four hundred twenty-six thousand, one hundred thirty-one".

Divisors: 1 11 31 101 107 113 341 1111 1177 1243 3131 3317 3503 10807 11413 12091 34441 36487 38533 118877 125543 133001 335017 353803 374821 1221191 3685187 3891833 4123031 13433101 37856921 416426131