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138147144793 = 773977093931
BaseRepresentation
bin1000000010101000110…
…1100010010001011001
3111012120201020002020021
42000222031202101121
54230411132113133
6143244112430441
712660262233040
oct2005215422131
9435521202207
10138147144793
1153651509649
1222935248421
1310047a57078
146987517557
1538d822752d
hex202a362459

138147144793 has 32 divisors (see below), whose sum is σ = 161964427520. Its totient is φ = 115393351680.

The previous prime is 138147144769. The next prime is 138147144803. The reversal of 138147144793 is 397441741831.

It is a cyclic number.

It is not a de Polignac number, because 138147144793 - 29 = 138147144281 is a prime.

It is a super-3 number, since 3×1381471447933 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 138147144793.

It is not an unprimeable number, because it can be changed into a prime (138147141793) 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, 35141038 + ... + 35144968.

It is an arithmetic number, because the mean of its divisors is an integer number (5061388360).

Almost surely, 2138147144793 is an apocalyptic number.

It is an amenable number.

138147144793 is a deficient number, since it is larger than the sum of its proper divisors (23817282727).

138147144793 is an equidigital number, since it uses as much as digits as its factorization.

138147144793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4817.

The product of its digits is 2032128, while the sum is 52.

The spelling of 138147144793 in words is "one hundred thirty-eight billion, one hundred forty-seven million, one hundred forty-four thousand, seven hundred ninety-three".

Divisors: 1 7 73 97 511 679 709 3931 4963 7081 27517 49567 51757 68773 286963 362299 381307 481411 2008741 2669149 2787079 5020429 19509553 27835411 35143003 194847877 203456767 270346663 1424197369 1892426641 19735306399 138147144793