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5440332443310 = 232519712631121
BaseRepresentation
bin100111100101010110100…
…0101010010111010101110
3201021002110010021220101200
41033022231011102322232
51203113300101141220
615323130524550330
71101023336526342
oct117125505227256
921232403256350
105440332443310
111808260920536
1273a4583b23a6
13306037601a7b
1414b456333622
15967aedbd890
hex4f2ad152eae

5440332443310 has 144 divisors (see below), whose sum is σ = 15102017358480. Its totient is φ = 1355039884800.

The previous prime is 5440332443309. The next prime is 5440332443333. The reversal of 5440332443310 is 133442330445.

It is a happy number.

5440332443310 is a `hidden beast` number, since 5 + 4 + 4 + 0 + 332 + 4 + 4 + 3 + 310 = 666.

It is a super-2 number, since 2×54403324433102 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8304550 + ... + 8935670.

It is an arithmetic number, because the mean of its divisors is an integer number (104875120545).

Almost surely, 25440332443310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5440332443310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7551008679240).

5440332443310 is an abundant number, since it is smaller than the sum of its proper divisors (9661684915170).

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

5440332443310 is a wasteful number, since it uses less digits than its factorization.

5440332443310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631295 (or 631221 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 5440332443310 its reverse (133442330445), we get a palindrome (5573774773755).

The spelling of 5440332443310 in words is "five trillion, four hundred forty billion, three hundred thirty-two million, four hundred forty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 71 90 95 114 142 171 190 213 285 342 355 426 570 639 710 855 1065 1278 1349 1710 2130 2698 3195 4047 5041 6390 6745 8094 10082 12141 13490 15123 20235 24282 25205 30246 40470 45369 50410 60705 75615 90738 95779 121410 151230 191558 226845 287337 453690 478895 574674 631121 862011 957790 1262242 1436685 1724022 1893363 2873370 3155605 3786726 4310055 5680089 6311210 8620110 9466815 11360178 11991299 18933630 23982598 28400445 35973897 44809591 56800890 59956495 71947794 89619182 107921691 119912990 134428773 179869485 215843382 224047955 268857546 359738970 403286319 448095910 539608455 672143865 806572638 851382229 1079216910 1344287730 1702764458 2016431595 2554146687 3181480961 4032863190 4256911145 5108293374 6362961922 7662440061 8513822290 9544442883 12770733435 15324880122 15907404805 19088885766 25541466870 28633328649 31814809610 38312200305 47722214415 57266657298 60448138259 76624400610 95444428830 120896276518 143166643245 181344414777 286333286490 302240691295 362688829554 544033244331 604481382590 906722073885 1088066488662 1813444147770 2720166221655 5440332443310