Search a number
-
+
412123201314 = 2311192689122219
BaseRepresentation
bin1011111111101000111…
…01001111111100100010
31110101202120111210202220
411333310131033330202
523223012014420224
6513154330251510
741526540261156
oct5776435177442
91411676453686
10412123201314
11149864891a40
1267a57286b96
132cb2b17ac46
1415d382d1066
15aac0da3279
hex5ff474ff22

412123201314 has 64 divisors (see below), whose sum is σ = 946862784000. Its totient is φ = 118267914240.

The previous prime is 412123201291. The next prime is 412123201331. The reversal of 412123201314 is 413102321214.

It is a super-2 number, since 2×4121232013142 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3310897 + ... + 3433115.

It is an arithmetic number, because the mean of its divisors is an integer number (14794731000).

Almost surely, 2412123201314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412123201314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473431392000).

412123201314 is an abundant number, since it is smaller than the sum of its proper divisors (534739582686).

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

412123201314 is a wasteful number, since it uses less digits than its factorization.

412123201314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124943.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 412123201314 its reverse (413102321214), we get a palindrome (825225522528).

The spelling of 412123201314 in words is "four hundred twelve billion, one hundred twenty-three million, two hundred one thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 2689 5378 8067 16134 29579 51091 59158 88737 102182 122219 153273 177474 244438 306546 366657 562001 733314 1124002 1344409 1686003 2322161 2688818 3372006 4033227 4644322 6966483 8066454 13932966 25543771 51087542 76631313 153262626 328646891 657293782 985940673 1971881346 3615115801 6244290929 7230231602 10845347403 12488581858 18732872787 21690694806 37465745574 68687200219 137374400438 206061600657 412123201314