Search a number
-
+
21044315412 = 223219432113391
BaseRepresentation
bin10011100110010101…
…101100010100010100
32000022121120222200100
4103212111230110110
5321044321043122
613400112414100
71343332505151
oct234625542424
960277528610
1021044315412
118a19a7070a
1240b3847330
131ca4b5c953
141038c8b228
158327a2aac
hex4e656c514

21044315412 has 144 divisors (see below), whose sum is σ = 57585848320. Its totient is φ = 6458356800.

The previous prime is 21044315339. The next prime is 21044315441. The reversal of 21044315412 is 21451344012.

21044315412 is a `hidden beast` number, since 210 + 4 + 4 + 31 + 5 + 412 = 666.

It is a super-2 number, since 2×210443154122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6204237 + ... + 6207627.

Almost surely, 221044315412 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 21044315412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28792924160).

21044315412 is an abundant number, since it is smaller than the sum of its proper divisors (36541532908).

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

21044315412 is a wasteful number, since it uses less digits than its factorization.

21044315412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674 (or 3669 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 21044315412 its reverse (21451344012), we get a palindrome (42495659424).

The spelling of 21044315412 in words is "twenty-one billion, forty-four million, three hundred fifteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 43 57 76 86 114 129 171 172 211 228 258 342 387 422 516 633 684 774 817 844 1266 1548 1634 1899 2451 2532 3268 3391 3798 4009 4902 6782 7353 7596 8018 9073 9804 10173 12027 13564 14706 16036 18146 20346 24054 27219 29412 30519 36081 36292 40692 48108 54438 61038 64429 72162 81657 108876 122076 128858 144324 145813 163314 172387 193287 257716 291626 326628 344774 386574 437439 517161 579861 583252 689548 715501 773148 874878 1034322 1159722 1312317 1431002 1551483 1749756 2068644 2146503 2319444 2624634 2770447 2862004 3102966 4293006 5249268 5540894 6205932 6439509 8311341 8586012 11081788 12879018 13594519 16622682 24934023 25758036 27189038 30766543 33245364 40783557 49868046 54378076 61533086 81567114 92299629 99736092 122350671 123066172 163134228 184599258 244701342 276898887 369198516 489402684 553797774 584564317 1107595548 1169128634 1753692951 2338257268 3507385902 5261078853 7014771804 10522157706 21044315412