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444213021361330 = 2513293726312108559
BaseRepresentation
bin110010100000000100110011…
…1010101111100010010110010
32011020211100110020011012120201
41211000021213111330102302
5431210441231432030310
64212432351140225414
7162365221526502664
oct14500114725742262
92136740406135521
10444213021361330
111195a3758a48a81
12419a356209b26a
13160b3153870a30
147b9a04c670534
1536550004eae3a
hex194026757c4b2

444213021361330 has 128 divisors (see below), whose sum is σ = 918336438835200. Its totient is φ = 153495443211264.

The previous prime is 444213021361327. The next prime is 444213021361331. The reversal of 444213021361330 is 33163120312444.

It is a super-2 number, since 2×4442130213613302 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 444213021361330.

It is not an unprimeable number, because it can be changed into a prime (444213021361331) 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, 30631591 + ... + 42740149.

It is an arithmetic number, because the mean of its divisors is an integer number (7174503428400).

Almost surely, 2444213021361330 is an apocalyptic number.

444213021361330 is an abundant number, since it is smaller than the sum of its proper divisors (474123417473870).

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

444213021361330 is a wasteful number, since it uses less digits than its factorization.

444213021361330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12108908.

The product of its (nonzero) digits is 124416, while the sum is 37.

Adding to 444213021361330 its reverse (33163120312444), we get a palindrome (477376141673774).

The spelling of 444213021361330 in words is "four hundred forty-four trillion, two hundred thirteen billion, twenty-one million, three hundred sixty-one thousand, three hundred thirty".

Divisors: 1 2 5 10 13 26 29 37 58 65 74 130 145 185 263 290 370 377 481 526 754 962 1073 1315 1885 2146 2405 2630 3419 3770 4810 5365 6838 7627 9731 10730 13949 15254 17095 19462 27898 34190 38135 48655 69745 76270 97310 99151 126503 139490 198302 253006 282199 495755 564398 632515 991510 1265030 1410995 2821990 3668587 7337174 12108559 18342935 24217118 36685870 60542795 121085590 157411267 314822534 351148211 448016683 702296422 787056335 896033366 1574112670 1755741055 2240083415 3184551017 3511482110 4480166830 4564926743 5824216879 6369102034 9129853486 11648433758 12992483807 15922755085 22824633715 25984967614 29121084395 31845510170 41399163221 45649267430 58242168790 64962419035 82798326442 92351979493 117828387629 129924838070 168902289491 184703958986 206995816105 235656775258 337804578982 413991632210 461759897465 589141938145 844511447455 923519794930 1178283876290 1200575733409 1531769039177 1689022894910 2401151466818 3063538078354 3417023241241 6002878667045 6834046482482 7658845195885 12005757334090 15317690391770 17085116206205 34170232412410 44421302136133 88842604272266 222106510680665 444213021361330