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141323242224114 = 232311151250387911
BaseRepresentation
bin100000001000100001100001…
…101001101011100111110010
3200112101100222201221022102200
4200020201201221223213302
5122010420000002132424
61220323000132124030
741524160454435006
oct4010414151534762
9615340881838380
10141323242224114
1141036939a45415
1213a25483a66616
1360b1955b16272
1426c811d5b8706
15115121db1b8c9
hex808861a6b9f2

141323242224114 has 96 divisors (see below), whose sum is σ = 316482389803008. Its totient is φ = 45529819740000.

The previous prime is 141323242224107. The next prime is 141323242224137. The reversal of 141323242224114 is 411422242323141.

141323242224114 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 232 + 4 + 2 + 2 + 2 + 411 + 4 = 666.

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, 1607527819 + ... + 1607615729.

It is an arithmetic number, because the mean of its divisors is an integer number (3296691560448).

Almost surely, 2141323242224114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141323242224114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158241194901504).

141323242224114 is an abundant number, since it is smaller than the sum of its proper divisors (175159147578894).

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

141323242224114 is a wasteful number, since it uses less digits than its factorization.

141323242224114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91604 (or 91601 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 141323242224114 its reverse (411422242323141), we get a palindrome (552745484547255).

The spelling of 141323242224114 in words is "one hundred forty-one trillion, three hundred twenty-three billion, two hundred forty-two million, two hundred twenty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 1151 2302 2503 3453 5006 6906 7509 10359 15018 20718 22527 35681 45054 71362 77593 87911 107043 155186 175822 214086 232779 263733 321129 465558 527466 642258 698337 791199 1396674 1582398 2725241 2880953 5450482 5761906 8175723 8642859 16351446 17285718 24527169 25928577 49054338 51857154 89309543 101185561 178619086 202371122 220041233 267928629 303556683 440082466 535857258 607113366 660123699 803785887 910670049 1320247398 1607571774 1821340098 1980371097 3136752391 3960742194 6273504782 6821278223 9410257173 13642556446 18820514346 20463834669 28230771519 40927669338 56461543038 61391504007 122783008014 253267459183 506534918366 759802377549 1519604755098 2279407132647 4558814265294 7851291234673 15702582469346 23553873704019 47107747408038 70661621112057 141323242224114