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12142244114 = 271113311791093
BaseRepresentation
bin10110100111011101…
…11111000100010010
31011100012202220120222
423103232333010102
5144331403302424
65324510233042
7606616241420
oct132356770422
934305686528
1012142244114
115170a867a0
12242a4b5782
1311b6779440
14832888110
154b0ebbe5e
hex2d3bbf112

12142244114 has 128 divisors (see below), whose sum is σ = 25407406080. Its totient is φ = 4198521600.

The previous prime is 12142244071. The next prime is 12142244123. The reversal of 12142244114 is 41144224121.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11108552 + ... + 11109644.

It is an arithmetic number, because the mean of its divisors is an integer number (198495360).

Almost surely, 212142244114 is an apocalyptic number.

12142244114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12142244114 is an abundant number, since it is smaller than the sum of its proper divisors (13265161966).

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

12142244114 is a wasteful number, since it uses less digits than its factorization.

12142244114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336.

The product of its digits is 2048, while the sum is 26.

Adding to 12142244114 its reverse (41144224121), we get a palindrome (53286468235).

The spelling of 12142244114 in words is "twelve billion, one hundred forty-two million, two hundred forty-four thousand, one hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 31 62 77 91 143 154 179 182 217 286 341 358 403 434 682 806 1001 1093 1253 1969 2002 2186 2327 2387 2506 2821 3938 4433 4654 4774 5549 5642 7651 8866 11098 12023 13783 14209 15302 16289 24046 25597 27566 28418 31031 32578 33883 38843 51194 61039 62062 67766 72137 77686 84161 99463 122078 144274 156299 168322 179179 195647 198926 237181 312598 358358 372713 391294 427273 440479 474362 504959 745426 793507 854546 880958 1009918 1094093 1369529 1587014 2152117 2188186 2543411 2608991 2739058 3083353 4304234 4845269 5086822 5217982 5554549 6065057 6166706 9690538 11109098 12130114 15064819 17803877 27977521 30129638 33916883 35607754 42455399 55955042 66715627 67833766 78845741 84910798 133431254 157691482 195842647 391685294 467009389 551920187 867303151 934018778 1103840374 1734606302 6071122057 12142244114