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144709992 = 233274147149
BaseRepresentation
bin10001010000000…
…01100101101000
3101002022000210100
420220001211220
5244021204432
622205345400
73405005010
oct1050014550
9332260710
10144709992
1174759839
1240568260
1323c9911b
141530cc40
15ca8707c
hex8a01968

144709992 has 192 divisors, whose sum is σ = 471744000. Its totient is φ = 39214080.

The previous prime is 144709987. The next prime is 144710011. The reversal of 144709992 is 299907441.

It is a happy number.

144709992 is a `hidden beast` number, since 1 + 4 + 470 + 99 + 92 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 971134 + ... + 971282.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2144709992 is an apocalyptic number.

144709992 is a gapful number since it is divisible by the number (12) 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 144709992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000).

144709992 is an abundant number, since it is smaller than the sum of its proper divisors (327034008).

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

144709992 is a wasteful number, since it uses less digits than its factorization.

144709992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 144709992 is about 12029.5466248733. The cubic root of 144709992 is about 525.0083046305.

The spelling of 144709992 in words is "one hundred forty-four million, seven hundred nine thousand, nine hundred ninety-two".