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141818040 = 23345713237
BaseRepresentation
bin10000111001111…
…11100010111000
3100212212002210000
420130333202320
5242301134130
622023353000
73341301450
oct1034774270
9325762700
10141818040
1173063aa1
123b5b2760
13234c5a00
1414b98d60
15c6b5260
hex873f8b8

141818040 has 480 divisors, whose sum is σ = 605832480. Its totient is φ = 29113344.

The previous prime is 141817993. The next prime is 141818041. The reversal of 141818040 is 40818141.

It is a super-2 number, since 2×1418180402 = 40224712938883200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 141817995 and 141818013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141818041) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3832902 + ... + 3832938.

It is an arithmetic number, because the mean of its divisors is an integer number (1262151).

Almost surely, 2141818040 is an apocalyptic number.

141818040 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 141818040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302916240).

141818040 is an abundant number, since it is smaller than the sum of its proper divisors (464014440).

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

141818040 is a wasteful number, since it uses less digits than its factorization.

141818040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 141818040 is about 11908.7379683995. The cubic root of 141818040 is about 521.4874080281.

The spelling of 141818040 in words is "one hundred forty-one million, eight hundred eighteen thousand, forty".