Search a number
-
+
123254631445 = 511292393131033
BaseRepresentation
bin111001011001010001…
…1000110110000010101
3102210010211100000111211
41302302203012300111
54004411141201240
6132342234301421
711622236036551
oct1626243066025
9383124300454
10123254631445
11482aa031980
121ba79887871
13b8135733aa
145d736b2861
153315a95bea
hex1cb28c6c15

123254631445 has 64 divisors (see below), whose sum is σ = 168312038400. Its totient is φ = 85828055040.

The previous prime is 123254631433. The next prime is 123254631499. The reversal of 123254631445 is 544136452321.

It is not a de Polignac number, because 123254631445 - 27 = 123254631317 is a prime.

It is a super-3 number, since 3×1232546314453 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123254631398 and 123254631407.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 119316649 + ... + 119317681.

It is an arithmetic number, because the mean of its divisors is an integer number (2629875600).

Almost surely, 2123254631445 is an apocalyptic number.

It is an amenable number.

123254631445 is a deficient number, since it is larger than the sum of its proper divisors (45057406955).

123254631445 is a wasteful number, since it uses less digits than its factorization.

123254631445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630.

The product of its digits is 345600, while the sum is 40.

The spelling of 123254631445 in words is "one hundred twenty-three billion, two hundred fifty-four million, six hundred thirty-one thousand, four hundred forty-five".

Divisors: 1 5 11 29 55 145 239 313 319 1033 1195 1565 1595 2629 3443 5165 6931 9077 11363 13145 17215 29957 34655 45385 56815 74807 76241 99847 149785 246887 323329 329527 374035 381205 499235 822877 1234435 1616645 1647635 2169403 2715757 3556619 4114385 7159723 9376541 10847015 13578785 17783095 23863433 35798615 46882705 77275631 78756953 103141951 119317165 386378155 393784765 515709755 850031941 2240993299 4250159705 11204966495 24650926289 123254631445