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12142240344 = 23321321758699
BaseRepresentation
bin10110100111011101…
…11110001001011000
31011100012202201102100
423103232332021120
5144331403142334
65324510203400
7606616224423
oct132356761130
934305681370
1012142240344
115170a83983
12242a4b3560
1311b6777800
148328869ba
154b0ebac99
hex2d3bbe258

12142240344 has 144 divisors (see below), whose sum is σ = 37704771000. Its totient is φ = 3516244992.

The previous prime is 12142240343. The next prime is 12142240351. The reversal of 12142240344 is 44304224121.

12142240344 is a `hidden beast` number, since 1 + 214 + 2 + 2 + 403 + 44 = 666.

It is a super-2 number, since 2×121422403442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12142240343) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 177507 + ... + 236205.

Almost surely, 212142240344 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 12142240344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18852385500).

12142240344 is an abundant number, since it is smaller than the sum of its proper divisors (25562530656).

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

12142240344 is a wasteful number, since it uses less digits than its factorization.

12142240344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58754 (or 58734 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 12142240344 its reverse (44304224121), we get a palindrome (56446464465).

The spelling of 12142240344 in words is "twelve billion, one hundred forty-two million, two hundred forty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 169 204 221 234 306 312 338 408 442 468 507 612 663 676 884 936 1014 1224 1326 1352 1521 1768 1989 2028 2652 2873 3042 3978 4056 5304 5746 6084 7956 8619 11492 12168 15912 17238 22984 25857 34476 51714 58699 68952 103428 117398 176097 206856 234796 352194 469592 528291 704388 763087 997883 1056582 1408776 1526174 1995766 2113164 2289261 2993649 3052348 3991532 4226328 4578522 5987298 6104696 6867783 7983064 8980947 9157044 9920131 11974596 12972479 13735566 17961894 18314088 19840262 23949192 25944958 27471132 29760393 35923788 38917437 39680524 51889916 54942264 59520786 71847576 77834874 79361048 89281179 103779832 116752311 119041572 155669748 168642227 178562358 233504622 238083144 311339496 337284454 357124716 467009244 505926681 674568908 714249432 934018488 1011853362 1349137816 1517780043 2023706724 3035560086 4047413448 6071120172 12142240344