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141033040 = 24511315601
BaseRepresentation
bin10000110011111…
…11111001010000
3100211101012221221
420121333321100
5242101024130
621554454424
73331522021
oct1031777120
9324335857
10141033040
1172678235
123b294414
13232ac605
1414a32c48
15c5ac87a
hex867fe50

141033040 has 40 divisors (see below), whose sum is σ = 330824808. Its totient is φ = 55910400.

The previous prime is 141033017. The next prime is 141033047. The reversal of 141033040 is 40330141.

It can be written as a sum of positive squares in 4 ways, for example, as 9884736 + 131148304 = 3144^2 + 11452^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141033047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1240 + ... + 16840.

Almost surely, 2141033040 is an apocalyptic number.

141033040 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 141033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165412404).

141033040 is an abundant number, since it is smaller than the sum of its proper divisors (189791768).

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

141033040 is a wasteful number, since it uses less digits than its factorization.

141033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15727 (or 15721 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 141033040 is about 11875.7332405204. The cubic root of 141033040 is about 520.5234374227.

Adding to 141033040 its reverse (40330141), we get a palindrome (181363181).

The spelling of 141033040 in words is "one hundred forty-one million, thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 9040 15601 31202 62404 78005 124808 156010 249616 312020 624040 1248080 1762913 3525826 7051652 8814565 14103304 17629130 28206608 35258260 70516520 141033040