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4234144231422 = 2327197337506173
BaseRepresentation
bin111101100111010110101…
…010011010111111111110
3112222210001210101001120100
4331213112222122333332
51023333011410401142
613001050005301530
7614623020065250
oct75472652327776
915883053331510
104234144231422
111392766042246
125847324048a6
1324937cc60731
14108d10005cd0
1575216cbdb4c
hex3d9d6a9affe

4234144231422 has 96 divisors (see below), whose sum is σ = 10569058898112. Its totient is φ = 1200040676352.

The previous prime is 4234144231411. The next prime is 4234144231433. The reversal of 4234144231422 is 2241324414324.

4234144231422 is a `hidden beast` number, since 4 + 2 + 3 + 414 + 4 + 231 + 4 + 2 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4234144231411) and next prime (4234144231433).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8111928 + ... + 8618100.

It is an arithmetic number, because the mean of its divisors is an integer number (110094363522).

Almost surely, 24234144231422 is an apocalyptic number.

4234144231422 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234144231422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284529449056).

4234144231422 is an abundant number, since it is smaller than the sum of its proper divisors (6334914666690).

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

4234144231422 is a wasteful number, since it uses less digits than its factorization.

4234144231422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506722 (or 506719 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 4234144231422 its reverse (2241324414324), we get a palindrome (6475468645746).

It can be divided in two parts, 4234144 and 231422, that added together give a triangular number (4465566 = T2988).

The spelling of 4234144231422 in words is "four trillion, two hundred thirty-four billion, one hundred forty-four million, two hundred thirty-one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 197 337 394 591 674 1011 1182 1379 1773 2022 2359 2758 3033 3546 4137 4718 6066 7077 8274 12411 14154 21231 24822 42462 66389 132778 199167 398334 464723 506173 597501 929446 1012346 1195002 1394169 1518519 2788338 3037038 3543211 4182507 4555557 7086422 8365014 9111114 10629633 21259266 31888899 63777798 99716081 170580301 199432162 299148243 341160602 511740903 598296486 698012567 897444729 1023481806 1194062107 1396025134 1535222709 1794889458 2094037701 2388124214 3070445418 3582186321 4188075402 6282113103 7164372642 10746558963 12564226206 21493117926 33604319297 67208638594 100812957891 201625915782 235230235079 302438873673 470460470158 604877747346 705690705237 1411381410474 2117072115711 4234144231422