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141214464 = 283261291
BaseRepresentation
bin10000110101011…
…00001100000000
3100211201102211100
420122230030000
5242122330324
622002414400
73333205656
oct1032541400
9324642740
10141214464
1172791576
123b361400
1323344071
1414a7cdd6
15c5e64c9
hex86ac300

141214464 has 54 divisors (see below), whose sum is σ = 407162756. Its totient is φ = 47070720.

The previous prime is 141214421. The next prime is 141214471. The reversal of 141214464 is 464412141.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28342 + ... + 32949.

Almost surely, 2141214464 is an apocalyptic number.

It is an amenable number.

141214464 is an abundant number, since it is smaller than the sum of its proper divisors (265948292).

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

141214464 is an equidigital number, since it uses as much as digits as its factorization.

141214464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61313 (or 61296 counting only the distinct ones).

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

The square root of 141214464 is about 11883.3692192072. The cubic root of 141214464 is about 520.7465411231.

It can be divided in two parts, 1412 and 14464, that added together give a square (15876 = 1262).

The spelling of 141214464 in words is "one hundred forty-one million, two hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 61291 122582 183873 245164 367746 490328 551619 735492 980656 1103238 1470984 1961312 2206476 2941968 3922624 4412952 5883936 7845248 8825904 11767872 15690496 17651808 23535744 35303616 47071488 70607232 141214464