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540005342140 = 225117940975967
BaseRepresentation
bin1111101101110101101…
…00111001101110111100
31220121211220022122210001
413312322310321232330
532321412331422030
61052024112324044
754004556450035
oct7667264715674
91817756278701
10540005342140
11199018a35130
12887a6843624
133bbcb350a64
141c1ca3c1a8c
15e0a7d22cca
hex7dbad39bbc

540005342140 has 96 divisors (see below), whose sum is σ = 1255842201600. Its totient is φ = 193403358720.

The previous prime is 540005342137. The next prime is 540005342161. The reversal of 540005342140 is 41243500045.

It is a junction number, because it is equal to n+sod(n) for n = 540005342099 and 540005342108.

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, 7070437 + ... + 7146403.

It is an arithmetic number, because the mean of its divisors is an integer number (13081689600).

Almost surely, 2540005342140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540005342140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627921100800).

540005342140 is an abundant number, since it is smaller than the sum of its proper divisors (715836859460).

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

540005342140 is a wasteful number, since it uses less digits than its factorization.

540005342140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76475 (or 76473 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 540005342140 its reverse (41243500045), we get a palindrome (581248842185).

The spelling of 540005342140 in words is "five hundred forty billion, five million, three hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 316 395 409 790 818 869 1580 1636 1738 2045 3476 4090 4345 4499 8180 8690 8998 17380 17996 22495 32311 44990 64622 75967 89980 129244 151934 161555 303868 323110 355421 379835 646220 710842 759670 835637 1421684 1519340 1671274 1777105 3342548 3554210 4178185 6001393 7108420 8356370 12002786 16712740 24005572 30006965 31070503 60013930 62141006 66015323 120027860 124282012 132030646 155352515 264061292 310705030 330076615 341775533 621410060 660153230 683551066 1320306460 1367102132 1708877665 2454569737 3417755330 4909139474 6835510660 9818278948 12272848685 24545697370 27000267107 49091394740 54000534214 108001068428 135001335535 270002671070 540005342140