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141034441023224 = 23728331066783339
BaseRepresentation
bin100000000100010100100011…
…110000100001111011111000
3200111100202112200112020000222
4200010110203300201323320
5121441202013400220344
61215542154444115212
741464254631641410
oct4004244360417370
9614322480466028
10141034441023224
1140a354092196a1
1213999504b35b08
13609064c168808
1426b81638d5640
1511489696ba5ee
hex804523c21ef8

141034441023224 has 64 divisors (see below), whose sum is σ = 302355306489600. Its totient is φ = 60415607084544.

The previous prime is 141034441023199. The next prime is 141034441023227. The reversal of 141034441023224 is 422320144430141.

It is a super-2 number, since 2×1410344410232242 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141034441023227) 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 15 ways as a sum of consecutive naturals, for example, 1692256547 + ... + 1692339885.

It is an arithmetic number, because the mean of its divisors is an integer number (4724301663900).

Almost surely, 2141034441023224 is an apocalyptic number.

141034441023224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

141034441023224 is an abundant number, since it is smaller than the sum of its proper divisors (161320865466376).

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

141034441023224 is a wasteful number, since it uses less digits than its factorization.

141034441023224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96852 (or 96848 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 141034441023224 its reverse (422320144430141), we get a palindrome (563354585453365).

The spelling of 141034441023224 in words is "one hundred forty-one trillion, thirty-four billion, four hundred forty-one million, twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 2833 5666 10667 11332 19831 21334 22664 39662 42668 74669 79324 83339 85336 149338 158648 166678 298676 333356 583373 597352 666712 1166746 2333492 4666984 30219611 60439222 120878444 211537277 236099387 241756888 423074554 472198774 846149108 888977113 944397548 1652695709 1692298216 1777954226 1888795096 3305391418 3555908452 6222839791 6610782836 7111816904 12445679582 13221565672 24891359164 49782718328 2518472161129 5036944322258 10073888644516 17629305127903 20147777289032 35258610255806 70517220511612 141034441023224