Search a number
-
+
5142906755140 = 22571112012780641
BaseRepresentation
bin100101011010110110100…
…1000010101100001000100
3200012122202000101110121011
41022311231020111201010
51133230133112131030
614534341352132004
71040364011065210
oct112655510254104
920178660343534
105142906755140
111703104873880
126b0891097004
132b3c87c208cb
1413acbd067940
158dba3718b2a
hex4ad6d215844

5142906755140 has 96 divisors (see below), whose sum is σ = 13476281349888. Its totient is φ = 1601648640000.

The previous prime is 5142906755123. The next prime is 5142906755143. The reversal of 5142906755140 is 415576092415.

It is not an unprimeable number, because it can be changed into a prime (5142906755143) 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, 459220 + ... + 3239860.

It is an arithmetic number, because the mean of its divisors is an integer number (140377930728).

Almost surely, 25142906755140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5142906755140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6738140674944).

5142906755140 is an abundant number, since it is smaller than the sum of its proper divisors (8333374594748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5142906755140 is a wasteful number, since it uses less digits than its factorization.

5142906755140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781869 (or 2781867 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 49.

The spelling of 5142906755140 in words is "five trillion, one hundred forty-two billion, nine hundred six million, seven hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1201 1540 2402 4804 6005 8407 12010 13211 16814 24020 26422 33628 42035 52844 66055 84070 92477 132110 168140 184954 264220 369908 462385 924770 1849540 2780641 5561282 11122564 13903205 19464487 27806410 30587051 38928974 55612820 61174102 77857948 97322435 122348204 152935255 194644870 214109357 305870510 389289740 428218714 611741020 856437428 1070546785 2141093570 3339549841 4282187140 6679099682 13358199364 16697749205 23376848887 33395498410 36735048251 46753697774 66790996820 73470096502 93507395548 116884244435 146940193004 183675241255 233768488870 257145337757 367350482510 467536977740 514290675514 734700965020 1028581351028 1285726688785 2571453377570 5142906755140