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145267252741 = 13311889190823
BaseRepresentation
bin1000011101001010011…
…0100101111000000101
3111212221220222001011001
42013102212211320011
54340001404041431
6150422421213301
713331600163202
oct2072246457005
9455856861131
10145267252741
1156675639086
12241a1861231
1310910bc40b0
147060dbaca9
153ba3368e61
hex21d29a5e05

145267252741 has 16 divisors (see below), whose sum is σ = 161574497280. Its totient is φ = 129697896960.

The previous prime is 145267252723. The next prime is 145267252751. The reversal of 145267252741 is 147252762541.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 145267252741 - 211 = 145267250693 is a prime.

It is a super-2 number, since 2×1452672527412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 145267252691 and 145267252700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145267252751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 665856 + ... + 856678.

It is an arithmetic number, because the mean of its divisors is an integer number (10098406080).

Almost surely, 2145267252741 is an apocalyptic number.

It is an amenable number.

145267252741 is a deficient number, since it is larger than the sum of its proper divisors (16307244539).

145267252741 is a wasteful number, since it uses less digits than its factorization.

145267252741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192756.

The product of its digits is 940800, while the sum is 46.

The spelling of 145267252741 in words is "one hundred forty-five billion, two hundred sixty-seven million, two hundred fifty-two thousand, seven hundred forty-one".

Divisors: 1 13 31 403 1889 24557 58559 190823 761267 2480699 5915513 76901669 360464647 4686040411 11174404057 145267252741