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141445524016 = 24192235320089
BaseRepresentation
bin1000001110111011001…
…1110110101000110000
3111112002120201002220201
42003232303312220300
54304140023232031
6144551300244544
713135103055016
oct2035663665060
9445076632821
10141445524016
1154a94346795
12234b59a0754
13104521bc754
146bbb5d08b6
153a2caa9d61
hex20eecf6a30

141445524016 has 120 divisors (see below), whose sum is σ = 307518755040. Its totient is φ = 62875118592.

The previous prime is 141445523971. The next prime is 141445524019. The reversal of 141445524016 is 610425544141.

141445524016 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (141445524019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7030900 + ... + 7050988.

It is an arithmetic number, because the mean of its divisors is an integer number (2562656292).

Almost surely, 2141445524016 is an apocalyptic number.

141445524016 is a gapful number since it is divisible by the number (16) 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 141445524016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153759377520).

141445524016 is an abundant number, since it is smaller than the sum of its proper divisors (166073231024).

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

141445524016 is a wasteful number, since it uses less digits than its factorization.

141445524016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20211 (or 20186 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The spelling of 141445524016 in words is "one hundred forty-one billion, four hundred forty-five million, five hundred twenty-four thousand, sixteen".

Divisors: 1 2 4 8 16 19 23 38 46 53 76 92 106 152 184 212 304 361 368 424 437 722 848 874 1007 1219 1444 1748 2014 2438 2888 3496 4028 4876 5776 6992 8056 8303 9752 16112 16606 19133 19504 20089 23161 33212 38266 40178 46322 66424 76532 80356 92644 132848 153064 160712 185288 306128 321424 370576 381691 440059 462047 763382 880118 924094 1064717 1526764 1760236 1848188 2129434 3053528 3520472 3696376 4258868 6107056 7040944 7252129 7392752 8517736 8778893 14504258 17035472 17557786 20229623 24488491 29008516 35115572 40459246 48976982 58017032 70231144 80918492 97953964 116034064 140462288 161836984 166798967 195907928 323673968 333597934 384362837 391815856 465281329 667195868 768725674 930562658 1334391736 1537451348 1861125316 2668783472 3074902696 3722250632 6149805392 7444501264 8840345251 17680690502 35361381004 70722762008 141445524016