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141344964 = 22323926249
BaseRepresentation
bin10000110110011…
…00000011000100
3100211222001211200
420123030003010
5242141014324
622005302500
73334261305
oct1033140304
9324861750
10141344964
1172870622
123b404a30
132338b597
1414ab47ac
15c61eec9
hex86cc0c4

141344964 has 18 divisors (see below), whose sum is σ = 357288750. Its totient is φ = 47114976.

The previous prime is 141344963. The next prime is 141344977. The reversal of 141344964 is 469443141.

It is a happy number.

141344964 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 120824064 + 20520900 = 10992^2 + 4530^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1413449642 = 39956797696322592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3926249 = 141344964 / (1 + 4 + 1 + 3 + 4 + 4 + 9 + 6 + 4).

It is a nude number because it is divisible by every one of its digits.

141344964 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (141344963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1963089 + ... + 1963160.

It is an arithmetic number, because the mean of its divisors is an integer number (19849375).

Almost surely, 2141344964 is an apocalyptic number.

It is an amenable number.

141344964 is an abundant number, since it is smaller than the sum of its proper divisors (215943786).

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

141344964 is a wasteful number, since it uses less digits than its factorization.

141344964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3926259 (or 3926254 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 141344964 is about 11888.8588182382. The cubic root of 141344964 is about 520.9069035928.

The spelling of 141344964 in words is "one hundred forty-one million, three hundred forty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3926249 7852498 11778747 15704996 23557494 35336241 47114988 70672482 141344964