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133021441202144 = 2511537339727453
BaseRepresentation
bin11110001111101101110111…
…110000000001011111100000
3122102222201120221200111010212
4132033231313300001133200
5114413410402421432034
61150525112332513252
740006324214161145
oct3617556760013740
9572881527614125
10133021441202144
1139426092773480
1212b0454361b828
13592bb39236241
1424bc3b49363cc
15105a2d633b2ce
hex78fb77c017e0

133021441202144 has 96 divisors (see below), whose sum is σ = 291481369258464. Its totient is φ = 59242517268480.

The previous prime is 133021441202059. The next prime is 133021441202161. The reversal of 133021441202144 is 441202144120331.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 133021441202144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8811122 + ... + 18538574.

It is an arithmetic number, because the mean of its divisors is an integer number (3036264263109).

Almost surely, 2133021441202144 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 133021441202144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145740684629232).

133021441202144 is an abundant number, since it is smaller than the sum of its proper divisors (158459928056320).

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

133021441202144 is a wasteful number, since it uses less digits than its factorization.

133021441202144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9728260 (or 9728252 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 133021441202144 its reverse (441202144120331), we get a palindrome (574223585322475).

The spelling of 133021441202144 in words is "one hundred thirty-three trillion, twenty-one billion, four hundred forty-one million, two hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 176 212 352 424 583 733 848 1166 1466 1696 2332 2932 4664 5864 8063 9328 11728 16126 18656 23456 32252 38849 64504 77698 129008 155396 258016 310792 427339 621584 854678 1243168 1709356 3418712 6837424 9727453 13674848 19454906 38909812 77819624 107001983 155639248 214003966 311278496 428007932 515555009 856015864 1031110018 1712031728 2062220036 3424063456 4124440072 5671105099 7130223049 8248880144 11342210198 14260446098 16497760288 22684420396 28520892196 45368840792 57041784392 78432453539 90737681584 114083568784 156864907078 181475363168 228167137568 313729814156 377901821597 627459628312 755803643194 1254919256624 1511607286388 2509838513248 3023214572776 4156920037567 6046429145552 8313840075134 12092858291104 16627680150268 33255360300536 66510720601072 133021441202144