Search a number
-
+
503414271513141 = 33115715347644401
BaseRepresentation
bin111001001110110100100010…
…0110101000001001000110101
32110000102221020010210021110020
41302131221010311001020311
51011440414412001410031
64542401153525315353
7211015323641114022
oct16235510465011065
92400387203707406
10503414271513141
111364488803169aa
1248565084b65b59
13187b89ba476551
148c45548aa8549
153d2ee61902096
hex1c9da44d41235

503414271513141 has 32 divisors (see below), whose sum is σ = 693443033665536. Its totient is φ = 324515458080000.

The previous prime is 503414271513137. The next prime is 503414271513151. The reversal of 503414271513141 is 141315172414305.

It is not a de Polignac number, because 503414271513141 - 22 = 503414271513137 is a prime.

It is a super-2 number, since 2×5034142715131412 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 503414271513093 and 503414271513102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503414271513151) 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, 780890541 + ... + 781534941.

It is an arithmetic number, because the mean of its divisors is an integer number (21670094802048).

Almost surely, 2503414271513141 is an apocalyptic number.

It is an amenable number.

503414271513141 is a deficient number, since it is larger than the sum of its proper divisors (190028762152395).

503414271513141 is a wasteful number, since it uses less digits than its factorization.

503414271513141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651353.

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 503414271513141 in words is "five hundred three trillion, four hundred fourteen billion, two hundred seventy-one million, five hundred thirteen thousand, one hundred forty-one".

Divisors: 1 3 31 93 1571 4713 5347 16041 48701 146103 165757 497271 644401 1933203 8400137 19976431 25200411 59929293 260404247 781212741 1012353971 3037061913 3445612147 10336836441 31382973101 94148919303 106813976557 320441929671 5413056682937 16239170048811 167804757171047 503414271513141