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144089810806500 = 22335313907905209
BaseRepresentation
bin100000110000110010000101…
…111111010010011011100100
3200220011211222122210220222000
4200300302011333102123210
5122341231413031302000
61230241540102205300
742231100556410206
oct4060620577223344
9626154878726860
10144089810806500
1141a03166872039
12141b16a2123830
1362527c3088a90
142781dac35a776
15119d18ee01000
hex830c85fd26e4

144089810806500 has 384 divisors, whose sum is σ = 502627049433600. Its totient is φ = 35429116953600.

The previous prime is 144089810806483. The next prime is 144089810806561. The reversal of 144089810806500 is 5608018980441.

It is a happy number.

144089810806500 is a `hidden beast` number, since 1 + 4 + 40 + 8 + 9 + 8 + 10 + 80 + 6 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 158725896 + ... + 159631104.

It is an arithmetic number, because the mean of its divisors is an integer number (1308924607900).

Almost surely, 2144089810806500 is an apocalyptic number.

144089810806500 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 144089810806500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251313524716800).

144089810806500 is an abundant number, since it is smaller than the sum of its proper divisors (358537238627100).

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

144089810806500 is a wasteful number, since it uses less digits than its factorization.

144089810806500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906157 (or 906139 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 144089810806500 in words is "one hundred forty-four trillion, eighty-nine billion, eight hundred ten million, eight hundred six thousand, five hundred".