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443323244340020 = 2251123113063452377
BaseRepresentation
bin110010011001100110011110…
…0011111111110001100110100
32011010200021210010201020201202
41210303030330133332030310
5431101402001022340040
64210511515322512032
7162244022161555022
oct14463147437761464
92133607703636652
10443323244340020
11119290372020400
124187b021665618
131604a283043555
147b68d60c91712
15363bcc5725015
hex193333c7fe334

443323244340020 has 144 divisors (see below), whose sum is σ = 1056400401552384. Its totient is φ = 155995892236800.

The previous prime is 443323244340017. The next prime is 443323244340037. The reversal of 443323244340020 is 20043442323344.

It is a super-2 number, since 2×4433232443400202 (a number of 30 digits) contains 22 as substring.

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, 979760072 + ... + 980212448.

Almost surely, 2443323244340020 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 443323244340020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528200200776192).

443323244340020 is an abundant number, since it is smaller than the sum of its proper divisors (613077157212364).

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

443323244340020 is a wasteful number, since it uses less digits than its factorization.

443323244340020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465502 (or 465489 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 38.

Adding to 443323244340020 its reverse (20043442323344), we get a palindrome (463366686663364).

The spelling of 443323244340020 in words is "four hundred forty-three trillion, three hundred twenty-three billion, two hundred forty-four million, three hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 121 124 155 220 242 310 341 484 605 620 682 1210 1364 1705 2420 3410 3751 6820 7502 13063 15004 18755 26126 37510 52252 65315 75020 130630 143693 261260 287386 404953 452377 574772 718465 809906 904754 1436930 1580623 1619812 1809508 2024765 2261885 2873860 3161246 4049530 4454483 4523770 4976147 6322492 7903115 8099060 8908966 9047540 9952294 14023687 15806230 17817932 19904588 22272415 24880735 28047374 31612460 44544830 48999313 49761470 54737617 56094748 70118435 89089660 97998626 99522940 109475234 140236870 154260557 195997252 218950468 244996565 273688085 280473740 308521114 489993130 547376170 617042228 771302785 979986260 1094752340 1542605570 1696866127 3085211140 3393732254 5909400751 6787464508 8484330635 11818801502 16968661270 23637603004 29547003755 33937322540 59094007510 65003408261 118188015020 130006816522 183191423281 260013633044 325017041305 366382846562 650034082610 715037490871 732765693124 915957116405 1300068165220 1430074981742 1831914232810 2015105656091 2860149963484 3575187454355 3663828465620 4030211312182 7150374908710 8060422624364 10075528280455 14300749817420 20151056560910 22166162217001 40302113121820 44332324434002 88664648868004 110830811085005 221661622170010 443323244340020