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130440224242332 = 2232176591213266633
BaseRepresentation
bin11101101010001001111011…
…001110101111101010011100
3122002211222000111120212220200
4131222021323032233222130
5114044113034401223312
61141231224535143500
736321665233056144
oct3552117316575234
9562758014525820
10130440224242332
1138620430019204
1212768233214b90
1357a25ca56a444
14242d4aa621924
1510130b24c10dc
hex76a27b3afa9c

130440224242332 has 144 divisors (see below), whose sum is σ = 349938759250080. Its totient is φ = 40826487066624.

The previous prime is 130440224242309. The next prime is 130440224242351. The reversal of 130440224242332 is 233242422044031.

130440224242332 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 4 + 0 + 224 + 2 + 423 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 489079288 + ... + 489345920.

It is an arithmetic number, because the mean of its divisors is an integer number (2430130272570).

Almost surely, 2130440224242332 is an apocalyptic number.

130440224242332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130440224242332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174969379625040).

130440224242332 is an abundant number, since it is smaller than the sum of its proper divisors (219498535007748).

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

130440224242332 is a wasteful number, since it uses less digits than its factorization.

130440224242332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268532 (or 268527 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 130440224242332 its reverse (233242422044031), we get a palindrome (363682646286363).

The spelling of 130440224242332 in words is "one hundred thirty trillion, four hundred forty billion, two hundred twenty-four million, two hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 659 1213 1318 1977 2426 2636 3639 3954 4852 5931 7278 7908 10917 11203 11862 14556 20621 21834 22406 23724 33609 41242 43668 44812 61863 67218 82484 100827 123726 134436 185589 201654 247452 266633 371178 403308 533266 742356 799367 799899 1066532 1598734 1599798 2398101 2399697 3197468 3199596 4532761 4796202 4799394 7194303 9065522 9592404 9598788 13589239 13598283 14388606 18131044 27178478 27196566 28777212 40767717 40794849 54356956 54393132 81535434 81589698 122303151 163070868 163179396 175711147 244606302 323425829 351422294 489212604 527133441 646851658 702844588 970277487 1054266882 1293703316 1581400323 1940554974 2108533764 2910832461 2987089499 3162800646 3881109948 5498239093 5821664922 5974178998 6325601292 8961268497 10996478186 11643329844 11948357996 16494717279 17922536994 21992956372 26883805491 32989434558 35845073988 49484151837 53767610982 65978869116 98968303674 107535221964 197936607348 213137621311 426275242622 639412863933 852550485244 1278825727866 1918238591799 2557651455732 3623339562287 3836477183598 7246679124574 7672954367196 10870018686861 14493358249148 21740037373722 32610056060583 43480074747444 65220112121166 130440224242332