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1542132422300 = 22521722738910273
BaseRepresentation
bin10110011100001110010…
…000010101011010011100
312110102111212012221200202
4112130032100111122130
5200231241400003200
63140240145443032
7216262323211001
oct26341620253234
95412455187622
101542132422300
11545018604908
1220aa61040478
13b25651c93c2
14548d51238a8
152a1ab1a01d5
hex1670e41569c

1542132422300 has 144 divisors (see below), whose sum is σ = 3568381296480. Its totient is φ = 576467927040.

The previous prime is 1542132422293. The next prime is 1542132422357. The reversal of 1542132422300 is 32242312451.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150109964 + ... + 150120236.

It is an arithmetic number, because the mean of its divisors is an integer number (24780425670).

Almost surely, 21542132422300 is an apocalyptic number.

1542132422300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1542132422300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784190648240).

1542132422300 is an abundant number, since it is smaller than the sum of its proper divisors (2026248874180).

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

1542132422300 is a wasteful number, since it uses less digits than its factorization.

1542132422300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10920 (or 10913 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 1542132422300 its reverse (32242312451), we get a palindrome (1574374734751).

The spelling of 1542132422300 in words is "one trillion, five hundred forty-two billion, one hundred thirty-two million, four hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 227 340 389 425 454 778 850 908 1135 1556 1700 1945 2270 3859 3890 4540 5675 6613 7718 7780 9725 10273 11350 13226 15436 19295 19450 20546 22700 26452 33065 38590 38900 41092 51365 66130 77180 88303 96475 102730 132260 165325 174641 176606 192950 205460 256825 330650 349282 353212 385900 441515 513650 661300 698564 873205 883030 1027300 1501151 1746410 1766060 2207575 2331971 3002302 3492820 3996197 4366025 4415150 4663942 6004604 7505755 7992394 8732050 8830300 9327884 11659855 15011510 15984788 17464100 19980985 23319710 30023020 37528775 39643507 39961970 46639420 58299275 67935349 75057550 79287014 79923940 99904925 116598550 135870698 150115100 158574028 198217535 199809850 233197100 271741396 339676745 396435070 399619700 679353490 792870140 907136719 991087675 1358706980 1698383725 1814273438 1982175350 3396767450 3628546876 3964350700 4535683595 6793534900 9071367190 15421324223 18142734380 22678417975 30842648446 45356835950 61685296892 77106621115 90713671900 154213242230 308426484460 385533105575 771066211150 1542132422300