Search a number
-
+
21041243136 = 2103215112
BaseRepresentation
bin10011100110001001…
…111110010000000000
32000022101210220022100
4103212021332100000
5321043024240021
613355522510400
71343264421114
oct234611762000
960271726270
1021041243136
118a18262441
1240b2805400
131ca4325434
1410386cb744
15832397626
hex4e627e400

21041243136 has 99 divisors (see below), whose sum is σ = 60796368763. Its totient is φ = 7009105920.

The previous prime is 21041243129. The next prime is 21041243233. The reversal of 21041243136 is 63134214012.

It is a happy number.

The square root of 21041243136 is 145056.

It is a perfect power (a square), and thus also a powerful number.

21041243136 is a `hidden beast` number, since 210 + 4 + 12 + 431 + 3 + 6 = 666.

It is a super-2 number, since 2×210412431362 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13924621 + ... + 13926131.

Almost surely, 221041243136 is an apocalyptic number.

21041243136 is the 145056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21041243136

21041243136 is an abundant number, since it is smaller than the sum of its proper divisors (39755125627).

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

21041243136 is an frugal number, since it uses more digits than its factorization.

21041243136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 21041243136 its reverse (63134214012), we get a palindrome (84175457148).

The spelling of 21041243136 in words is "twenty-one billion, forty-one million, two hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1511 1536 2304 3022 3072 4533 4608 6044 9066 9216 12088 13599 18132 24176 27198 36264 48352 54396 72528 96704 108792 145056 193408 217584 290112 386816 435168 580224 773632 870336 1160448 1547264 1740672 2283121 2320896 3481344 4566242 4641792 6849363 6962688 9132484 13698726 13925376 18264968 20548089 27397452 36529936 41096178 54794904 73059872 82192356 109589808 146119744 164384712 219179616 292239488 328769424 438359232 584478976 657538848 876718464 1168957952 1315077696 1753436928 2337915904 2630155392 3506873856 5260310784 7013747712 10520621568 21041243136