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412231042412032 = 2915715673272669
BaseRepresentation
bin101110110111011000000010…
…0110110010010111000000000
32000001120220101010101211021211
41131232300010312102320000
5413012443133324141112
64020424154305455504
7152554465344024004
oct13556600466227000
92001526333354254
10412231042412032
1110a393226667278
123a29917a041594
13149032b358b43c
1473b2135d80704
15329d11e8aa0a7
hex176ec04d92e00

412231042412032 has 80 divisors (see below), whose sum is σ = 829432396679040. Its totient is φ = 204671923642368.

The previous prime is 412231042412011. The next prime is 412231042412089. The reversal of 412231042412032 is 230214240132214.

It is a super-2 number, since 2×4122310424120322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 412231042411985 and 412231042412003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124325394 + ... + 127598062.

It is an arithmetic number, because the mean of its divisors is an integer number (10367904958488).

Almost surely, 2412231042412032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412231042412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414716198339520).

412231042412032 is an abundant number, since it is smaller than the sum of its proper divisors (417201354267008).

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

412231042412032 is a wasteful number, since it uses less digits than its factorization.

412231042412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274411 (or 3274395 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 412231042412032 its reverse (230214240132214), we get a palindrome (642445282544246).

The spelling of 412231042412032 in words is "four hundred twelve trillion, two hundred thirty-one billion, forty-two million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 157 256 314 512 628 1256 1567 2512 3134 5024 6268 10048 12536 20096 25072 40192 50144 80384 100288 200576 246019 401152 492038 802304 984076 1968152 3272669 3936304 6545338 7872608 13090676 15745216 26181352 31490432 52362704 62980864 104725408 125961728 209450816 418901632 513809033 837803264 1027618066 1675606528 2055236132 4110472264 5128272323 8220944528 10256544646 16441889056 20513089292 32883778112 41026178584 65767556224 82052357168 131535112448 164104714336 263070224896 328209428672 656418857344 805138754711 1312837714688 1610277509422 2625675429376 3220555018844 6441110037688 12882220075376 25764440150752 51528880301504 103057760603008 206115521206016 412231042412032