Search a number
-
+
412341444143214 = 233711093679145523
BaseRepresentation
bin101110111000001011011100…
…1010011011110100001101110
32000001222110100012201212020120
41131300112321103132201232
5413021300234200040324
64020551013330025410
7152565454244166255
oct13560267123364156
92001873305655216
10412341444143214
1110a42602a554a23
123a2b664b418266
13149108290848b1
1473b760a65979c
1532a0e31da9179
hex17705b94de86e

412341444143214 has 64 divisors (see below), whose sum is σ = 847777005089280. Its totient is φ = 133605205418880.

The previous prime is 412341444143203. The next prime is 412341444143219.

412341444143214 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4123414441432142 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412341444143219) 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, 9057847857 + ... + 9057893379.

It is an arithmetic number, because the mean of its divisors is an integer number (13246515704520).

Almost surely, 2412341444143214 is an apocalyptic number.

412341444143214 is an abundant number, since it is smaller than the sum of its proper divisors (435435560946066).

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

412341444143214 is a wasteful number, since it uses less digits than its factorization.

412341444143214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83465.

The product of its digits is 589824, while the sum is 42.

The spelling of 412341444143214 in words is "four hundred twelve trillion, three hundred forty-one billion, four hundred forty-four million, one hundred forty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 37 74 111 222 1109 2218 3327 6654 36791 41033 45523 73582 82066 91046 110373 123099 136569 220746 246198 273138 1361267 1684351 2722534 3368702 4083801 5053053 8167602 10106106 40801219 50485007 81602438 100970014 122403657 151455021 244807314 302910042 1509645103 1674836693 1867945259 3019290206 3349673386 3735890518 4528935309 5024510079 5603835777 9057870618 10049020158 11207671554 61968957641 123937915282 185906872923 371813745846 1857393892537 3714787785074 5572181677611 11144363355222 68723574023869 137447148047738 206170722071607 412341444143214