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231412343214132 = 223237491353835011
BaseRepresentation
bin110100100111011111100010…
…100000111001000000110100
31010100100210201002020212011100
4310213133202200321000310
5220312424434330323012
62140101210213210100
766512663410163103
oct6447374240710064
91110323632225140
10231412343214132
116780a472923103
1221b55319630930
139c181235b80a2
1441205baa1a03a
151bb48759418dc
hexd277e2839034

231412343214132 has 72 divisors (see below), whose sum is σ = 601992243976032. Its totient is φ = 74899794916800.

The previous prime is 231412343214113. The next prime is 231412343214163.

231412343214132 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 1 + 234 + 3 + 2 + 1 + 413 + 2 = 666.

231412343214132 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 176263494 + ... + 177571517.

It is an arithmetic number, because the mean of its divisors is an integer number (8361003388556).

Almost surely, 2231412343214132 is an apocalyptic number.

It is an amenable number.

231412343214132 is an abundant number, since it is smaller than the sum of its proper divisors (370579900761900).

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

231412343214132 is a wasteful number, since it uses less digits than its factorization.

231412343214132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353835549 (or 353835544 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 231412343214132 in words is "two hundred thirty-one trillion, four hundred twelve billion, three hundred forty-three million, two hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 491 666 982 1332 1473 1964 2946 4419 5892 8838 17676 18167 36334 54501 72668 109002 163503 218004 327006 654012 353835011 707670022 1061505033 1415340044 2123010066 3184515099 4246020132 6369030198 12738060396 13091895407 26183790814 39275686221 52367581628 78551372442 117827058663 157102744884 173732990401 235654117326 347465980802 471308234652 521198971203 694931961604 1042397942406 1563596913609 2084795884812 3127193827218 6254387654436 6428120644837 12856241289674 19284361934511 25712482579348 38568723869022 57853085803533 77137447738044 115706171607066 231412343214132