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4540122414300 = 22352116122554011
BaseRepresentation
bin100001000010001010001…
…1000100011110011011100
3121002000211221022020112010
41002010110120203303130
51043341132314224200
613353411535511220
7646004315531334
oct102042430436334
917060757266463
104540122414300
1114a0500818850
12613aa5988510
1326c193489855
14119a590b80c4
157d174206150
hex42114623cdc

4540122414300 has 144 divisors (see below), whose sum is σ = 14565200517504. Its totient is φ = 1082592480000.

The previous prime is 4540122414253. The next prime is 4540122414313. The reversal of 4540122414300 is 34142210454.

It is a super-2 number, since 2×45401224143002 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11075706 + ... + 11478305.

It is an arithmetic number, because the mean of its divisors is an integer number (101147225816).

Almost surely, 24540122414300 is an apocalyptic number.

It is an amenable number.

4540122414300 is an abundant number, since it is smaller than the sum of its proper divisors (10025078103204).

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

4540122414300 is a wasteful number, since it uses less digits than its factorization.

4540122414300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22554100 (or 22554093 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 4540122414300 its reverse (34142210454), we get a palindrome (4574264624754).

The spelling of 4540122414300 in words is "four trillion, five hundred forty billion, one hundred twenty-two million, four hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 61 66 75 100 110 122 132 150 165 183 220 244 275 300 305 330 366 550 610 660 671 732 825 915 1100 1220 1342 1525 1650 1830 2013 2684 3050 3300 3355 3660 4026 4575 6100 6710 8052 9150 10065 13420 16775 18300 20130 33550 40260 50325 67100 100650 201300 22554011 45108022 67662033 90216044 112770055 135324066 225540110 248094121 270648132 338310165 451080220 496188242 563850275 676620330 744282363 992376484 1127700550 1240470605 1353240660 1375794671 1488564726 1691550825 2255401100 2480941210 2751589342 2977129452 3383101650 3721411815 4127384013 4961882420 5503178684 6202353025 6766203300 6878973355 7442823630 8254768026 12404706050 13757946710 14885647260 15133741381 16509536052 18607059075 20636920065 24809412100 27515893420 30267482762 34394866775 37214118150 41273840130 45401224143 60534965524 68789733550 74428236300 75668706905 82547680260 90802448286 103184600325 137579467100 151337413810 181604896572 206369200650 227006120715 302674827620 378343534525 412738401300 454012241430 756687069050 908024482860 1135030603575 1513374138100 2270061207150 4540122414300