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145266937321 = 112346492
BaseRepresentation
bin1000011101001010010…
…1011000110111101001
3111212221220101000110211
42013102211120313221
54340001313443241
6150422410341121
713331564410462
oct2072245306751
9455856330424
10145266937321
1156675443100
12241a172a7a1
1310910b1365c
147060d37d69
153ba3305781
hex21d2958de9

145266937321 has 9 divisors (see below), whose sum is σ = 159678184183. Its totient is φ = 132057040720.

The previous prime is 145266937259. The next prime is 145266937327. The reversal of 145266937321 is 123739662541.

The square root of 145266937321 is 381139.

It is a perfect power (a square), and thus also a powerful number.

145266937321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 25965777321 + 119301160000 = 161139^2 + 345400^2 .

It is not a de Polignac number, because 145266937321 - 29 = 145266936809 is a prime.

It is a super-2 number, since 2×1452669373212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145266937327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4175205 + ... + 4209853.

Almost surely, 2145266937321 is an apocalyptic number.

145266937321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

145266937321 is the 381139-th square number.

145266937321 is the 190570-th centered octagonal number.

It is an amenable number.

145266937321 is a deficient number, since it is larger than the sum of its proper divisors (14411246862).

145266937321 is an frugal number, since it uses more digits than its factorization.

145266937321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69320 (or 34660 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 49.

Multiplying 145266937321 by its sum of digits (49), we get a square (7118079928729 = 26679732).

The spelling of 145266937321 in words is "one hundred forty-five billion, two hundred sixty-six million, nine hundred thirty-seven thousand, three hundred twenty-one".

Divisors: 1 11 121 34649 381139 4192529 1200553201 13206085211 145266937321