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141002232 = 23376113759
BaseRepresentation
bin10000110011110…
…00010111111000
3100211022122200220
420121320113320
5242044032412
621554100040
73331333140
oct1031702770
9324278626
10141002232
1172657078
123b27a620
132329b597
1414a25920
15c5a368c
hex86785f8

141002232 has 64 divisors (see below), whose sum is σ = 409497600. Its totient is φ = 39623040.

The previous prime is 141002221. The next prime is 141002269. The reversal of 141002232 is 232200141.

141002232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3369 + ... + 17127.

It is an arithmetic number, because the mean of its divisors is an integer number (6398400).

Almost surely, 2141002232 is an apocalyptic number.

141002232 is a gapful number since it is divisible by the number (12) 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 141002232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204748800).

141002232 is an abundant number, since it is smaller than the sum of its proper divisors (268495368).

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

141002232 is a wasteful number, since it uses less digits than its factorization.

141002232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13836 (or 13832 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 141002232 is about 11874.4360708204. The cubic root of 141002232 is about 520.4855327022.

Adding to 141002232 its reverse (232200141), we get a palindrome (373202373).

The spelling of 141002232 in words is "one hundred forty-one million, two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 366 427 488 732 854 1281 1464 1708 2562 3416 5124 10248 13759 27518 41277 55036 82554 96313 110072 165108 192626 288939 330216 385252 577878 770504 839299 1155756 1678598 2311512 2517897 3357196 5035794 5875093 6714392 10071588 11750186 17625279 20143176 23500372 35250558 47000744 70501116 141002232