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21244131342 = 23271795231801
BaseRepresentation
bin10011110010001111…
…111011100000001110
32000211112120200121100
4103302033323200032
5322001444200332
613432011243530
71351310064660
oct236217734016
960745520540
1021244131342
119011838345
12414a7495a6
132007381225
141057622530
158450c267c
hex4f23fb80e

21244131342 has 96 divisors (see below), whose sum is σ = 53028967680. Its totient is φ = 6020956800.

The previous prime is 21244131317. The next prime is 21244131353. The reversal of 21244131342 is 24313144212.

21244131342 is a `hidden beast` number, since 212 + 4 + 413 + 1 + 34 + 2 = 666.

It is a super-2 number, since 2×212441313422 (a number of 21 digits) contains 22 as substring.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 11794842 + ... + 11796642.

It is an arithmetic number, because the mean of its divisors is an integer number (552385080).

Almost surely, 221244131342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21244131342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26514483840).

21244131342 is an abundant number, since it is smaller than the sum of its proper divisors (31784836338).

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

21244131342 is a wasteful number, since it uses less digits than its factorization.

21244131342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2515 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 21244131342 its reverse (24313144212), we get a palindrome (45557275554).

The spelling of 21244131342 in words is "twenty-one billion, two hundred forty-four million, one hundred thirty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 179 358 523 537 1046 1074 1253 1569 1611 1801 2506 3138 3222 3602 3661 3759 4707 5403 7322 7518 9414 10806 10983 11277 12607 16209 21966 22554 25214 32418 32949 37821 65898 75642 93617 113463 187234 226926 280851 322379 561702 644758 655319 842553 941923 967137 1310638 1685106 1883846 1934274 1965957 2256653 2825769 2901411 3931914 4513306 5651538 5802822 5897871 6593461 6769959 8477307 11795742 13186922 13539918 16954614 19780383 20309877 39560766 40619754 59341149 118682298 168604217 337208434 505812651 1011625302 1180229519 1517437953 2360459038 3034875906 3540688557 7081377114 10622065671 21244131342