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141014444424 = 23373835034357
BaseRepresentation
bin1000001101010100011…
…1011010100110001000
3111110222112112222212220
42003111013122212020
54302244144210144
6144440420534040
713121320000140
oct2032507324610
9443875488786
10141014444424
1154892a83267
12233b5551320
13103b3ab8979
146b7a259920
153a04d07919
hex20d51da988

141014444424 has 128 divisors (see below), whose sum is σ = 404846346240. Its totient is φ = 40095551232.

The previous prime is 141014444401. The next prime is 141014444449. The reversal of 141014444424 is 424444410141.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32362854 + ... + 32367210.

It is an arithmetic number, because the mean of its divisors is an integer number (3162862080).

Almost surely, 2141014444424 is an apocalyptic number.

141014444424 is a gapful number since it is divisible by the number (14) 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 141014444424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202423173120).

141014444424 is an abundant number, since it is smaller than the sum of its proper divisors (263831901816).

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

141014444424 is a wasteful number, since it uses less digits than its factorization.

141014444424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5259 (or 5255 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 33.

Adding to 141014444424 its reverse (424444410141), we get a palindrome (565458854565).

The spelling of 141014444424 in words is "one hundred forty-one billion, fourteen million, four hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 383 503 766 1006 1149 1509 1532 2012 2298 2681 3018 3064 3521 4024 4357 4596 5362 6036 7042 8043 8714 9192 10563 10724 12072 13071 14084 16086 17428 21126 21448 26142 28168 30499 32172 34856 42252 52284 60998 64344 84504 91497 104568 121996 182994 192649 243992 365988 385298 577947 731976 770596 1155894 1348543 1541192 1668731 2191571 2311788 2697086 3337462 4045629 4383142 4623576 5006193 5394172 6574713 6674924 8091258 8766284 10012386 10788344 11681117 13149426 13349848 15340997 16182516 17532568 20024772 23362234 26298852 30681994 32365032 35043351 40049544 46022991 46724468 52597704 61363988 70086702 92045982 93448936 122727976 140173404 184091964 280346808 368183928 839371693 1678743386 2518115079 3357486772 5036230158 5875601851 6714973544 10072460316 11751203702 17626805553 20144920632 23502407404 35253611106 47004814808 70507222212 141014444424