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412430101034214 = 23835230115834743
BaseRepresentation
bin101110111000110100101110…
…1101010101011010011100110
32000002021221011212022120012010
41131301221131222223103212
5413024223321331043324
64021055434530535050
7152605043244265164
oct13561513552532346
92002257155276163
10412430101034214
1110a45a69500437a
123a30b872437486
1314918cb7857203
1473bba1b014234
1532a33c037c829
hex1771a5daab4e6

412430101034214 has 32 divisors (see below), whose sum is σ = 834814290933504. Its totient is φ = 135817749082400.

The previous prime is 412430101034213. The next prime is 412430101034233.

It is a happy number.

412430101034214 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4124301010342143 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412430101034213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18128527 + ... + 33963269.

It is an arithmetic number, because the mean of its divisors is an integer number (26087946591672).

Almost surely, 2412430101034214 is an apocalyptic number.

412430101034214 is an abundant number, since it is smaller than the sum of its proper divisors (422384189899290).

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

412430101034214 is a wasteful number, since it uses less digits than its factorization.

412430101034214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15887132.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 41243010 and 1034214, that added together give a palindrome (42277224).

The spelling of 412430101034214 in words is "four hundred twelve trillion, four hundred thirty billion, one hundred one million, thirty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 83 166 249 498 52301 104602 156903 313806 4340983 8681966 13022949 15834743 26045898 31669486 47504229 95008458 1314283669 2628567338 3942851007 7885702014 828172893643 1656345787286 2484518680929 4969037361858 68738350172369 137476700344738 206215050517107 412430101034214