Base | Representation |
---|---|
bin | 100000111000001100110100… |
… | …000100110111001101011100 |
3 | 200221222120200101210012100100 |
4 | 200320030310010313031130 |
5 | 122423104323114110010 |
6 | 1231312035513301100 |
7 | 42312654225140520 |
oct | 4070146404671534 |
9 | 627876611705310 |
10 | 144599537644380 |
11 | 4208a357330825 |
12 | 14274438704790 |
13 | 628b8a7431b10 |
14 | 279c925317d80 |
15 | 11ab5749352c0 |
hex | 83833413735c |
144599537644380 has 576 divisors, whose sum is σ = 544609000615680. Its totient is φ = 30240250380288.
The previous prime is 144599537644363. The next prime is 144599537644409. The reversal of 144599537644380 is 83446735995441.
144599537644380 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 9 + 9 + 537 + 6 + 4 + 4 + 3 + 80 = 666.
It is a junction number, because it is equal to n+sod(n) for n = 144599537644299 and 144599537644308.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1051740202 + ... + 1051877678.
It is an arithmetic number, because the mean of its divisors is an integer number (945501737180).
Almost surely, 2144599537644380 is an apocalyptic number.
144599537644380 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 144599537644380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272304500307840).
144599537644380 is an abundant number, since it is smaller than the sum of its proper divisors (400009462971300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144599537644380 is a wasteful number, since it uses less digits than its factorization.
144599537644380 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 138078 (or 138073 counting only the distinct ones).
The product of its (nonzero) digits is 1567641600, while the sum is 72.
The spelling of 144599537644380 in words is "one hundred forty-four trillion, five hundred ninety-nine billion, five hundred thirty-seven million, six hundred forty-four thousand, three hundred eighty".
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