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540111534030 = 2355409154331
BaseRepresentation
bin1111101110000010010…
…01111111011111001110
31220122010022010202200000
413313001021333133032
532322122023042110
61052042424345130
754010316201265
oct7670111773716
91818108122600
10540111534030
11199072975722
12888163151a6
133bc173519b3
141c1da5455dc
15e0b22ec1c0
hex7dc127f7ce

540111534030 has 96 divisors (see below), whose sum is σ = 1456683516288. Its totient is φ = 143991885600.

The previous prime is 540111533987. The next prime is 540111534037. The reversal of 540111534030 is 30435111045.

It is a happy number.

540111534030 is a `hidden beast` number, since 540 + 1 + 1 + 1 + 53 + 40 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 540111533985 and 540111534003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540111534037) 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, 9913965 + ... + 9968295.

It is an arithmetic number, because the mean of its divisors is an integer number (15173786628).

Almost surely, 2540111534030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540111534030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728341758144).

540111534030 is an abundant number, since it is smaller than the sum of its proper divisors (916571982258).

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

540111534030 is a wasteful number, since it uses less digits than its factorization.

540111534030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58444 (or 58432 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 540111534030 its reverse (30435111045), we get a palindrome (570546645075).

The spelling of 540111534030 in words is "five hundred forty billion, one hundred eleven million, five hundred thirty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 4091 8182 12273 20455 24546 36819 40910 54331 61365 73638 108662 110457 122730 162993 184095 220914 271655 325986 331371 368190 488979 543310 552285 662742 814965 977958 994113 1104570 1466937 1629930 1656855 1988226 2444895 2933874 3313710 4400811 4889790 4970565 7334685 8801622 9941130 13202433 14669370 22004055 26404866 44008110 66012165 132024330 222268121 444536242 666804363 1111340605 1333608726 2000413089 2222681210 3334021815 4000826178 6001239267 6668043630 10002065445 12002478534 18003717801 20004130890 30006196335 36007435602 54011153403 60012392670 90018589005 108022306806 180037178010 270055767015 540111534030