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211304421144 = 23331761943357
BaseRepresentation
bin1100010011001010111…
…0011001011100011000
3202012102011112210001000
43010302232121130120
511430222412434034
6241023311025000
721160214642025
oct3046256313430
9665364483030
10211304421144
1181682923113
1234b5150b160
1316c06331a7b
14a32759654c
15576aae7599
hex3132b99718

211304421144 has 128 divisors (see below), whose sum is σ = 631672516800. Its totient is φ = 65204766720.

The previous prime is 211304421143. The next prime is 211304421151. The reversal of 211304421144 is 441124403112.

211304421144 is a `hidden beast` number, since 211 + 3 + 0 + 442 + 1 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211304421143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247687 + ... + 695670.

Almost surely, 2211304421144 is an apocalyptic number.

211304421144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211304421144 is an abundant number, since it is smaller than the sum of its proper divisors (420368095656).

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

211304421144 is a wasteful number, since it uses less digits than its factorization.

211304421144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943450 (or 943440 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 211304421144 its reverse (441124403112), we get a palindrome (652428824256).

The spelling of 211304421144 in words is "two hundred eleven billion, three hundred four million, four hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 61 68 72 102 108 122 136 153 183 204 216 244 306 366 408 459 488 549 612 732 918 1037 1098 1224 1464 1647 1836 2074 2196 3111 3294 3672 4148 4392 6222 6588 8296 9333 12444 13176 18666 24888 27999 37332 55998 74664 111996 223992 943357 1886714 2830071 3773428 5660142 7546856 8490213 11320284 16037069 16980426 22640568 25470639 32074138 33960852 48111207 50941278 57544777 64148276 67921704 96222414 101882556 115089554 128296552 144333621 172634331 192444828 203765112 230179108 288667242 345268662 384889656 433000863 460358216 517902993 577334484 690537324 866001726 978261209 1035805986 1154668968 1381074648 1553708979 1732003452 1956522418 2071611972 2934783627 3107417958 3464006904 3913044836 4143223944 5869567254 6214835916 7826089672 8804350881 11739134508 12429671832 17608701762 23478269016 26413052643 35217403524 52826105286 70434807048 105652210572 211304421144