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144291622860 = 2234571119232647
BaseRepresentation
bin1000011001100001110…
…0110110111111001100
3111210102221010220120000
42012120130312333030
54331002123412420
6150141530124300
713265452362210
oct2063034667714
9453387126500
10144291622860
115621494a9a0
1223b6ab80690
13107b6a3a4c8
146dab5b4940
153b4789d690
hex2198736fcc

144291622860 has 960 divisors, whose sum is σ = 620104826880. Its totient is φ = 27159390720.

The previous prime is 144291622763. The next prime is 144291622933. The reversal of 144291622860 is 68226192441.

It is a happy number.

144291622860 is a `hidden beast` number, since 1 + 4 + 429 + 162 + 2 + 8 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 54510057 + ... + 54512703.

It is an arithmetic number, because the mean of its divisors is an integer number (645942528).

Almost surely, 2144291622860 is an apocalyptic number.

144291622860 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 144291622860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310052413440).

144291622860 is an abundant number, since it is smaller than the sum of its proper divisors (475813204020).

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

144291622860 is a wasteful number, since it uses less digits than its factorization.

144291622860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 144291622860 in words is "one hundred forty-four billion, two hundred ninety-one million, six hundred twenty-two thousand, eight hundred sixty".