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412141141214 = 211217144769233
BaseRepresentation
bin1011111111101011000…
…01101011110011011110
31110101210211021020200122
411333311201223303132
523223031113004324
6513200210554542
741530145620115
oct5776541536336
91411724236618
10412141141214
11149873a25500
1267a61298a52
132cb31abc77a
1415d3a840c7c
15aac2748a5e
hex5ff586bcde

412141141214 has 48 divisors (see below), whose sum is σ = 720001475424. Its totient is φ = 176192670720.

The previous prime is 412141141193. The next prime is 412141141241.

412141141214 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5918342 + ... + 5987574.

It is an arithmetic number, because the mean of its divisors is an integer number (15000030738).

Almost surely, 2412141141214 is an apocalyptic number.

412141141214 is a deficient number, since it is larger than the sum of its proper divisors (307860334210).

412141141214 is a wasteful number, since it uses less digits than its factorization.

412141141214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70721 (or 70710 counting only the distinct ones).

The product of its digits is 1024, while the sum is 26.

It can be divided in two parts, 412141 and 141214, that added together give a palindrome (553355).

The spelling of 412141141214 in words is "four hundred twelve billion, one hundred forty-one million, one hundred forty-one thousand, two hundred fourteen".

Divisors: 1 2 11 17 22 34 121 187 242 374 1447 2057 2894 4114 15917 24599 31834 49198 69233 138466 175087 270589 350174 541178 761563 1176961 1523126 2353922 2976479 5952958 8377193 12946571 16754386 25893142 100180151 142412281 200360302 284824562 1101981661 1703062567 2203963322 3406125134 12121798271 18733688237 24243596542 37467376474 206070570607 412141141214