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141149320 = 235135212
BaseRepresentation
bin10000110100111…
…00010010001000
3100211121010110121
420122130102020
5242113234240
622001153024
73332515024
oct1032342210
9324533417
10141149320
1172747634
123b32b774
1323320510
1414a63384
15c5d204a
hex869c488

141149320 has 48 divisors (see below), whose sum is σ = 342673380. Its totient is φ = 52016640.

The previous prime is 141149311. The next prime is 141149329. The reversal of 141149320 is 23941141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (141149311) and next prime (141149329).

It can be written as a sum of positive squares in 6 ways, for example, as 12236004 + 128913316 = 3498^2 + 11354^2 .

It is not an unprimeable number, because it can be changed into a prime (141149329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270660 + ... + 271180.

Almost surely, 2141149320 is an apocalyptic number.

141149320 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 141149320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171336690).

141149320 is an abundant number, since it is smaller than the sum of its proper divisors (201524060).

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

141149320 is an equidigital number, since it uses as much as digits as its factorization.

141149320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 141149320 is about 11880.6279295330. The cubic root of 141149320 is about 520.6664531739. Note that the first 3 decimals are identical.

The spelling of 141149320 in words is "one hundred forty-one million, one hundred forty-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 521 1042 2084 2605 4168 5210 6773 10420 13546 20840 27092 33865 54184 67730 135460 270920 271441 542882 1085764 1357205 2171528 2714410 3528733 5428820 7057466 10857640 14114932 17643665 28229864 35287330 70574660 141149320