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1044451221066 = 233114162696841
BaseRepresentation
bin11110011001011100010…
…01001101111001001010
310200211220121020102101000
433030232021031321022
5114103014003033231
62115451514235430
7135313321616511
oct17145611157112
93624817212330
101044451221066
11372a49538230
1214a508725b76
13776505a6206
14387a1c63678
151c27de036e6
hexf32e24de4a

1044451221066 has 128 divisors (see below), whose sum is σ = 2594552083200. Its totient is φ = 308686464000.

The previous prime is 1044451221061. The next prime is 1044451221133. The reversal of 1044451221066 is 6601221544401.

1044451221066 is a `hidden beast` number, since 104 + 445 + 1 + 2 + 2 + 106 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1044451221066.

It is not an unprimeable number, because it can be changed into a prime (1044451221061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152671806 + ... + 152678646.

It is an arithmetic number, because the mean of its divisors is an integer number (20269938150).

Almost surely, 21044451221066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1044451221066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297276041600).

1044451221066 is an abundant number, since it is smaller than the sum of its proper divisors (1550100862134).

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

1044451221066 is a wasteful number, since it uses less digits than its factorization.

1044451221066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13173 (or 13167 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 1044451221066 its reverse (6601221544401), we get a palindrome (7645672765467).

The spelling of 1044451221066 in words is "one trillion, forty-four billion, four hundred fifty-one million, two hundred twenty-one thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 82 99 123 198 246 297 369 451 594 738 902 1107 1353 2214 2706 4059 6269 6841 8118 12177 12538 13682 18807 20523 24354 37614 41046 56421 61569 68959 75251 112842 123138 137918 150502 169263 184707 206877 225753 257029 280481 338526 369414 413754 451506 514058 560962 620631 677259 771087 841443 1241262 1354518 1542174 1682886 1861893 2031777 2313261 2524329 2827319 3085291 3723786 4063554 4626522 5048658 5654638 6170582 6939783 7572987 8481957 9255873 13879566 15145974 16963914 18511746 25445871 27767619 42886229 50891742 55535238 76337613 83302857 85772458 128658687 152675226 166605714 257317374 385976061 471748519 771952122 943497038 1157928183 1415245557 1758335389 2315856366 2830491114 3516670778 4245736671 5275006167 8491473342 10550012334 12737210013 15825018501 19341689279 25474420026 31650037002 38683378558 47475055503 58025067837 94950111006 116050135674 174075203511 348150407022 522225610533 1044451221066