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144069075759 = 3773385324391
BaseRepresentation
bin1000011000101100101…
…1111010001100101111
3111202212102101100022210
42012023023322030233
54330023140411014
6150103500141503
713260110636640
oct2061313721457
9452772340283
10144069075759
1156110267a74
1223b08537893
131077c8ba62b
146d89c036c7
153b3308d859
hex218b2fa32f

144069075759 has 32 divisors (see below), whose sum is σ = 222608026624. Its totient is φ = 81173041920.

The previous prime is 144069075713. The next prime is 144069075763. The reversal of 144069075759 is 957570960441.

It is a happy number.

It is not a de Polignac number, because 144069075759 - 221 = 144066978607 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144069075699 and 144069075708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144069070759) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5894454 + ... + 5918844.

It is an arithmetic number, because the mean of its divisors is an integer number (6956500832).

Almost surely, 2144069075759 is an apocalyptic number.

144069075759 is a deficient number, since it is larger than the sum of its proper divisors (78538950865).

144069075759 is a wasteful number, since it uses less digits than its factorization.

144069075759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28327.

The product of its (nonzero) digits is 9525600, while the sum is 57.

The spelling of 144069075759 in words is "one hundred forty-four billion, sixty-nine million, seventy-five thousand, seven hundred fifty-nine".

Divisors: 1 3 7 21 73 219 511 1533 3853 11559 24391 26971 73173 80913 170737 281269 512211 843807 1780543 1968883 5341629 5906649 12463801 37391403 93978523 281935569 657849661 1973548983 6860432179 20581296537 48023025253 144069075759