Search a number
-
+
41542898742 = 232171038391571
BaseRepresentation
bin100110101100001001…
…100101010000110110
310222020012021220200100
4212230021211100312
51140034440224432
631030132254530
73000320545602
oct465411452066
9128205256610
1041542898742
1116688979774
128074771446
133bc09148b7
14202147a502
1511321a707c
hex9ac265436

41542898742 has 96 divisors (see below), whose sum is σ = 96405603840. Its totient is φ = 12882942720.

The previous prime is 41542898741. The next prime is 41542898797. The reversal of 41542898742 is 24789824514.

41542898742 is a `hidden beast` number, since 4 + 1 + 542 + 8 + 98 + 7 + 4 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41542898741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26442817 + ... + 26444387.

It is an arithmetic number, because the mean of its divisors is an integer number (1004225040).

Almost surely, 241542898742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41542898742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48202801920).

41542898742 is an abundant number, since it is smaller than the sum of its proper divisors (54862705098).

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

41542898742 is a wasteful number, since it uses less digits than its factorization.

41542898742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538 (or 2535 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 41542898742 in words is "forty-one billion, five hundred forty-two million, eight hundred ninety-eight thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 103 153 206 306 309 618 839 927 1571 1678 1751 1854 2517 3142 3502 4713 5034 5253 7551 9426 10506 14139 14263 15102 15759 26707 28278 28526 31518 42789 53414 80121 85578 86417 128367 160242 161813 172834 240363 256734 259251 323626 480726 485439 518502 777753 970878 1318069 1456317 1469089 1555506 2636138 2750821 2912634 2938178 3954207 4407267 5501642 7908414 8252463 8814534 11862621 13221801 16504926 22407173 23725242 24757389 26443602 44814346 49514778 67221519 134443038 135761107 201664557 271522214 403329114 407283321 814566642 1221849963 2307938819 2443699926 4615877638 6923816457 13847632914 20771449371 41542898742