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141324240 = 24351035717
BaseRepresentation
bin10000110110001…
…10111111010000
3100211221000102010
420123012333100
5242134333430
622005022520
73334144011
oct1033067720
9324830363
10141324240
1172856aa2
123b3b4a40
1323382015
1414aab008
15c618cb0
hex86c6fd0

141324240 has 80 divisors (see below), whose sum is σ = 442435968. Its totient is φ = 37314048.

The previous prime is 141324229. The next prime is 141324283. The reversal of 141324240 is 42423141.

141324240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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, 21862 + ... + 27578.

Almost surely, 2141324240 is an apocalyptic number.

141324240 is a gapful number since it is divisible by the number (10) 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 141324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221217984).

141324240 is an abundant number, since it is smaller than the sum of its proper divisors (301111728).

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

141324240 is a wasteful number, since it uses less digits than its factorization.

141324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5836 (or 5830 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 141324240 is about 11887.9872139904. The cubic root of 141324240 is about 520.8814438900.

Adding to 141324240 its reverse (42423141), we get a palindrome (183747381).

The spelling of 141324240 in words is "one hundred forty-one million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 309 412 515 618 824 1030 1236 1545 1648 2060 2472 3090 4120 4944 5717 6180 8240 11434 12360 17151 22868 24720 28585 34302 45736 57170 68604 85755 91472 114340 137208 171510 228680 274416 343020 457360 588851 686040 1177702 1372080 1766553 2355404 2944255 3533106 4710808 5888510 7066212 8832765 9421616 11777020 14132424 17665530 23554040 28264848 35331060 47108080 70662120 141324240