Search a number
-
+
141823440 = 243351147127
BaseRepresentation
bin10000111010000…
…00110111010000
3100212212101012000
420131000313100
5242301322230
622023434000
73341323263
oct1035006720
9325771160
10141823440
1173068060
123b5b5900
13234c82c5
1414b9acda
15c6b6b60
hex8740dd0

141823440 has 320 divisors, whose sum is σ = 548536320. Its totient is φ = 33384960.

The previous prime is 141823403. The next prime is 141823453. The reversal of 141823440 is 44328141.

141823440 is a `hidden beast` number, since 141 + 82 + 3 + 440 = 666.

It is a super-2 number, since 2×1418234402 = 40227776266867200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1116657 + ... + 1116783.

It is an arithmetic number, because the mean of its divisors is an integer number (1714176).

Almost surely, 2141823440 is an apocalyptic number.

141823440 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 141823440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274268160).

141823440 is an abundant number, since it is smaller than the sum of its proper divisors (406712880).

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

141823440 is a wasteful number, since it uses less digits than its factorization.

141823440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 141823440 is about 11908.9646905178. The cubic root of 141823440 is about 521.4940268293.

The spelling of 141823440 in words is "one hundred forty-one million, eight hundred twenty-three thousand, four hundred forty".