Search a number
-
+
541010344331540 = 2252331141601267929
BaseRepresentation
bin111101100000010111100100…
…1011001001100100100010100
32121221120002021002121120102102
41323000233021121030210110
51031402403141122102130
65154344415431301232
7221645464450240436
oct17300571131144424
92557502232546372
10541010344331540
111474232202a0166
125081751981a818
131a2b5097364505
14978507cb34656
154282dc20a8645
hex1ec0bc964c914

541010344331540 has 96 divisors (see below), whose sum is σ = 1223774056028160. Its totient is φ = 200315833344000.

The previous prime is 541010344331533. The next prime is 541010344331683. The reversal of 541010344331540 is 45133443010145.

It is a junction number, because it is equal to n+sod(n) for n = 541010344331494 and 541010344331503.

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, 2019096296 + ... + 2019364224.

It is an arithmetic number, because the mean of its divisors is an integer number (12747646416960).

Almost surely, 2541010344331540 is an apocalyptic number.

It is an amenable number.

541010344331540 is an abundant number, since it is smaller than the sum of its proper divisors (682763711696620).

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

541010344331540 is a wasteful number, since it uses less digits than its factorization.

541010344331540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409593 (or 409591 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

Adding to 541010344331540 its reverse (45133443010145), we get a palindrome (586143787341685).

The spelling of 541010344331540 in words is "five hundred forty-one trillion, ten billion, three hundred forty-four million, three hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 460 620 713 1426 2852 3565 7130 14260 141601 267929 283202 535858 566404 708005 1071716 1339645 1416010 2679290 2832020 3256823 4389631 5358580 6162367 6513646 8305799 8779262 12324734 13027292 16284115 16611598 17558524 21948155 24649468 30811835 32568230 33223196 41528995 43896310 61623670 65136460 83057990 87792620 100961513 123247340 166115980 191033377 201923026 382066754 403846052 504807565 764133508 955166885 1009615130 1910333770 2019230260 3820667540 37939014329 75878028658 151756057316 189695071645 379390143290 758780286580 872597329567 1176109444199 1745194659134 2352218888398 3490389318268 4362986647835 4704437776796 5880547220995 8725973295670 11761094441990 17451946591340 23522188883980 27050517216577 54101034433154 108202068866308 135252586082885 270505172165770 541010344331540