Search a number
-
+
41011334134140 = 223529127185588443
BaseRepresentation
bin10010101001100101100100…
…00000001011100101111100
312101012122102101112002220110
421110302302000023211330
520333412203014243030
6223120202524350020
711431654043252436
oct1124626200134574
9171178371462813
1041011334134140
1112081899a56777
1247243309a5310
1319b6476a7a346
14a1ad5dd2d656
154b1beb5251b0
hex254cb200b97c

41011334134140 has 96 divisors (see below), whose sum is σ = 119726816993280. Its totient is φ = 10476096374016.

The previous prime is 41011334134097. The next prime is 41011334134171. The reversal of 41011334134140 is 4143143311014.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41011334134098 and 41011334134107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92573242 + ... + 93015201.

It is an arithmetic number, because the mean of its divisors is an integer number (1247154343680).

Almost surely, 241011334134140 is an apocalyptic number.

It is an amenable number.

41011334134140 is an abundant number, since it is smaller than the sum of its proper divisors (78715482859140).

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

41011334134140 is a wasteful number, since it uses less digits than its factorization.

41011334134140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185588611 (or 185588609 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 41011334134140 its reverse (4143143311014), we get a palindrome (45154477445154).

The spelling of 41011334134140 in words is "forty-one trillion, eleven billion, three hundred thirty-four million, one hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 127 145 174 254 290 348 381 435 508 580 635 762 870 1270 1524 1740 1905 2540 3683 3810 7366 7620 11049 14732 18415 22098 36830 44196 55245 73660 110490 220980 185588443 371176886 556765329 742353772 927942215 1113530658 1855884430 2227061316 2783826645 3711768860 5382064847 5567653290 10764129694 11135306580 16146194541 21528259388 23569732261 26910324235 32292389082 47139464522 53820648470 64584778164 70709196783 80730972705 94278929044 107641296940 117848661305 141418393566 161461945410 235697322610 282836787132 322923890820 353545983915 471394645220 683522235569 707091967830 1367044471138 1414183935660 2050566706707 2734088942276 3417611177845 4101133413414 6835222355690 8202266826828 10252833533535 13670444711380 20505667067070 41011334134140