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141040433501320 = 23561293238382787
BaseRepresentation
bin100000000100011010001000…
…111100000001010010001000
3200111101100000022102122121011
4200010122020330001102020
5121441301301434020240
61215545025231453304
741464556265111133
oct4004321074012210
9614340008378534
10141040433501320
1140a37a03882131
121399a6b7987234
1360910957cc942
1426b857170721a
151148bba8196ea
hex804688f01488

141040433501320 has 128 divisors (see below), whose sum is σ = 323783841507840. Its totient is φ = 55278053360640.

The previous prime is 141040433501311. The next prime is 141040433501327. The reversal of 141040433501320 is 23105334040141.

It is not an unprimeable number, because it can be changed into a prime (141040433501327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1703612967 + ... + 1703695753.

It is an arithmetic number, because the mean of its divisors is an integer number (2529561261780).

Almost surely, 2141040433501320 is an apocalyptic number.

141040433501320 is a gapful number since it is divisible by the number (10) 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 141040433501320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161891920753920).

141040433501320 is an abundant number, since it is smaller than the sum of its proper divisors (182743408006520).

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

141040433501320 is a wasteful number, since it uses less digits than its factorization.

141040433501320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85535 (or 85531 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 141040433501320 its reverse (23105334040141), we get a palindrome (164145767541461).

The spelling of 141040433501320 in words is "one hundred forty-one trillion, forty billion, four hundred thirty-three million, five hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 293 305 488 586 610 1172 1220 1465 2344 2383 2440 2930 4766 5860 9532 11720 11915 17873 19064 23830 35746 47660 71492 82787 89365 95320 142984 145363 165574 178730 290726 331148 357460 413935 581452 662296 698219 714920 726815 827870 1162904 1396438 1453630 1655740 2792876 2907260 3311480 3491095 5050007 5585752 5814520 6982190 10100014 13964380 20200028 24256591 25250035 27928760 40400056 42591359 48513182 50500070 85182718 97026364 101000140 121282955 170365436 194052728 197281421 202000280 212956795 242565910 340730872 394562842 425913590 485131820 789125684 851827180 970263640 986407105 1479652051 1578251368 1703654360 1972814210 2959304102 3945628420 5918608204 7398260255 7891256840 11837216408 12034166681 14796520510 24068333362 29593041020 48136666724 57803456353 59186082040 60170833405 96273333448 115606912706 120341666810 231213825412 240683333620 289017281765 462427650824 481366667240 578034563530 1156069127060 2312138254120 3526010837533 7052021675066 14104043350132 17630054187665 28208086700264 35260108375330 70520216750660 141040433501320