Search a number
-
+
141801184 = 2572983263
BaseRepresentation
bin10000111001110…
…11011011100000
3100212211020122201
420130323123200
5242300114214
622023142544
73341201350
oct1034733340
9325736581
10141801184
1173052368
123b5a4a54
13234bb135
1414b92b60
15c6b0274
hex873b6e0

141801184 has 96 divisors (see below), whose sum is σ = 335301120. Its totient is φ = 57748992.

The previous prime is 141801167. The next prime is 141801197. The reversal of 141801184 is 481108141.

141801184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 539037 + ... + 539299.

It is an arithmetic number, because the mean of its divisors is an integer number (3492720).

Almost surely, 2141801184 is an apocalyptic number.

141801184 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 141801184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167650560).

141801184 is an abundant number, since it is smaller than the sum of its proper divisors (193499936).

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

141801184 is a wasteful number, since it uses less digits than its factorization.

141801184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 28.

The square root of 141801184 is about 11908.0302317386. The cubic root of 141801184 is about 521.4667464817.

The spelling of 141801184 in words is "one hundred forty-one million, eight hundred one thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 83 112 116 166 203 224 232 263 332 406 464 526 581 664 812 928 1052 1162 1328 1624 1841 2104 2324 2407 2656 3248 3682 4208 4648 4814 6496 7364 7627 8416 9296 9628 14728 15254 16849 18592 19256 21829 29456 30508 33698 38512 43658 53389 58912 61016 67396 77024 87316 106778 122032 134792 152803 174632 213556 244064 269584 305606 349264 427112 539168 611212 633041 698528 854224 1222424 1266082 1708448 2444848 2532164 4431287 4889696 5064328 8862574 10128656 17725148 20257312 35450296 70900592 141801184