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21214233561144 = 233131732413123397
BaseRepresentation
bin1001101001011010100101…
…10110110000100000111000
32210010001122102010102212110
410310231102312300200320
510240033222242424034
6113041403453212320
74316451325010511
oct464552266604070
983101572112773
1021214233561144
1168399a68782a8
122467563a910a0
13bab6556b5770
14534abac99a08
1526bc6e43cde9
hex134b52db0838

21214233561144 has 128 divisors (see below), whose sum is σ = 60477320312640. Its totient is φ = 6143249129472.

The previous prime is 21214233561113. The next prime is 21214233561149. The reversal of 21214233561144 is 44116533241212.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21214233561149) 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, 171856854 + ... + 171980250.

Almost surely, 221214233561144 is an apocalyptic number.

21214233561144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21214233561144 is an abundant number, since it is smaller than the sum of its proper divisors (39263086751496).

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

21214233561144 is a wasteful number, since it uses less digits than its factorization.

21214233561144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155849 (or 155845 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The spelling of 21214233561144 in words is "twenty-one trillion, two hundred fourteen billion, two hundred thirty-three million, five hundred sixty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1326 1768 2652 5304 32413 64826 97239 123397 129652 194478 246794 259304 370191 388956 421369 493588 551021 740382 777912 842738 987176 1102042 1264107 1480764 1604161 1653063 1685476 2097749 2204084 2528214 2961528 3208322 3306126 3370952 4195498 4408168 4812483 5056428 6293247 6416644 6612252 7163273 8390996 9624966 10112856 12586494 12833288 13224504 14326546 16781992 19249932 21489819 25172988 27270737 28653092 38499864 42979638 50345976 54541474 57306184 81812211 85959276 109082948 163624422 171918552 218165896 327248844 654497688 3999666961 7999333922 11999000883 15998667844 23998001766 31997335688 47996003532 51995670493 67994338337 95992007064 103991340986 135988676674 155987011479 203983015011 207982681972 271977353348 311974022958 407966030022 415965363944 543954706696 623948045916 815932060044 883926398381 1247896091832 1631864120088 1767852796762 2651779195143 3535705593524 5303558390286 7071411187048 10607116780572 21214233561144