Base | Representation |
---|---|
bin | 100001000011011010110100… |
… | …011010000100010010000000 |
3 | 201001201021122101100012121100 |
4 | 201003122310122010102000 |
5 | 123023222230344120301 |
6 | 1233102140414254400 |
7 | 42422446153462551 |
oct | 4103326432042200 |
9 | 631637571305540 |
10 | 145370489832576 |
11 | 42357307789588 |
12 | 14379936ab7400 |
13 | 63164bc383168 |
14 | 27c7d7d898328 |
15 | 11c16479d8286 |
hex | 8436b4684480 |
145370489832576 has 96 divisors (see below), whose sum is σ = 419458561516800. Its totient is φ = 48324794844672.
The previous prime is 145370489832551. The next prime is 145370489832619. The reversal of 145370489832576 is 675238984073541.
145370489832576 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 7 + 0 + 48 + 9 + 8 + 3 + 2 + 576 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×1453704898325762 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171497736 + ... + 172343303.
It is an arithmetic number, because the mean of its divisors is an integer number (4369360015800).
It is a 1-persistent number, because it is pandigital, but 2⋅145370489832576 = 290740979665152 is not.
Almost surely, 2145370489832576 is an apocalyptic number.
145370489832576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
145370489832576 is an abundant number, since it is smaller than the sum of its proper divisors (274088071684224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
145370489832576 is a wasteful number, since it uses less digits than its factorization.
145370489832576 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 343841426 (or 343841411 counting only the distinct ones).
The product of its (nonzero) digits is 1219276800, while the sum is 72.
The spelling of 145370489832576 in words is "one hundred forty-five trillion, three hundred seventy billion, four hundred eighty-nine million, eight hundred thirty-two thousand, five hundred seventy-six".
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