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541410110055540 = 2232511273439449523
BaseRepresentation
bin111101100011010001101110…
…1010010011010010001110100
32121222222022010110100111011100
41323012203131102122101310
51031430430401133234130
65155252212042210100
7222016406145646155
oct17306433522322164
92558868113314140
10541410110055540
11147567813659530
1250880aa64b3930
131a3139a62a71ab
14979a563b5192c
15428d4bd126c60
hex1ec68dd49a474

541410110055540 has 72 divisors (see below), whose sum is σ = 1791575273281248. Its totient is φ = 131250935770560.

The previous prime is 541410110055539. The next prime is 541410110055557. The reversal of 541410110055540 is 45550011014145.

541410110055540 is a `hidden beast` number, since 5 + 4 + 1 + 4 + 1 + 0 + 1 + 100 + 5 + 5 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 541410110055495 and 541410110055504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136719722782 + ... + 136719726741.

It is an arithmetic number, because the mean of its divisors is an integer number (24882989906684).

Almost surely, 2541410110055540 is an apocalyptic number.

It is an amenable number.

541410110055540 is an abundant number, since it is smaller than the sum of its proper divisors (1250165163225708).

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

541410110055540 is a wasteful number, since it uses less digits than its factorization.

541410110055540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273439449549 (or 273439449544 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

Adding to 541410110055540 its reverse (45550011014145), we get a palindrome (586960121069685).

The spelling of 541410110055540 in words is "five hundred forty-one trillion, four hundred ten billion, one hundred ten million, fifty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 273439449523 546878899046 820318348569 1093757798092 1367197247615 1640636697138 2460955045707 2734394495230 3007833944753 3281273394276 4101591742845 4921910091414 5468788990460 6015667889506 8203183485690 9023501834259 9843820182828 12031335779012 12304775228535 15039169723765 16406366971380 18047003668518 24609550457070 27070505502777 30078339447530 36094007337036 45117509171295 49219100914140 54141011005554 60156678895060 90235018342590 108282022011108 135352527513885 180470036685180 270705055027770 541410110055540