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145824744117 = 31343166752163
BaseRepresentation
bin1000011111001111010…
…1010000001010110101
3111221101202222112112210
42013303311100022311
54342122113302432
6150554014204033
713351446605403
oct2076365201265
9457352875483
10145824744117
11569312a2658
12243184b3619
131099c558350
1470b505a473
153bd728b8cc
hex21f3d502b5

145824744117 has 32 divisors (see below), whose sum is σ = 214391536128. Its totient is φ = 87597107136.

The previous prime is 145824744103. The next prime is 145824744139. The reversal of 145824744117 is 711447428541.

145824744117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145824744117 - 26 = 145824744053 is a prime.

It is a super-2 number, since 2×1458247441172 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145824744617) 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 31 ways as a sum of consecutive naturals, for example, 2769478 + ... + 2821640.

It is an arithmetic number, because the mean of its divisors is an integer number (6699735504).

Almost surely, 2145824744117 is an apocalyptic number.

It is an amenable number.

145824744117 is a deficient number, since it is larger than the sum of its proper divisors (68566792011).

145824744117 is a wasteful number, since it uses less digits than its factorization.

145824744117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53889.

The product of its digits is 1003520, while the sum is 48.

The spelling of 145824744117 in words is "one hundred forty-five billion, eight hundred twenty-four million, seven hundred forty-four thousand, one hundred seventeen".

Divisors: 1 3 13 39 43 129 559 1667 1677 5001 21671 52163 65013 71681 156489 215043 678119 931853 2034357 2243009 2795559 6729027 29159117 86955721 87477351 260867163 1130424373 3391273119 3739096003 11217288009 48608248039 145824744117