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136229842944 = 2123213284267
BaseRepresentation
bin111111011011111101…
…1100111000000000000
3111000122002111001112200
41332313323213000000
54212444314433234
6142325542153200
712561621362526
oct1766773470000
9430562431480
10136229842944
1152858216368
122249b122800
13cb00776230
146844a28316
153824c4cd99
hex1fb7ee7000

136229842944 has 156 divisors (see below), whose sum is σ = 423775932216. Its totient is φ = 41916727296.

The previous prime is 136229842921. The next prime is 136229842979. The reversal of 136229842944 is 449248922631.

136229842944 is a `hidden beast` number, since 1 + 3 + 62 + 298 + 4 + 294 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (156).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 337099 + ... + 621365.

It is an arithmetic number, because the mean of its divisors is an integer number (2716512386).

Almost surely, 2136229842944 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 136229842944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211887966108).

136229842944 is an abundant number, since it is smaller than the sum of its proper divisors (287546089272).

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

136229842944 is a wasteful number, since it uses less digits than its factorization.

136229842944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284310 (or 284285 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 136229842944 in words is "one hundred thirty-six billion, two hundred twenty-nine million, eight hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2048 2304 2496 3072 3328 3744 4096 4608 4992 6144 6656 7488 9216 9984 12288 13312 14976 18432 19968 26624 29952 36864 39936 53248 59904 79872 119808 159744 239616 284267 479232 568534 852801 1137068 1705602 2274136 2558403 3411204 3695471 4548272 5116806 6822408 7390942 9096544 10233612 11086413 13644816 14781884 18193088 20467224 22172826 27289632 29563768 33259239 36386176 40934448 44345652 54579264 59127536 66518478 72772352 81868896 88691304 109158528 118255072 133036956 145544704 163737792 177382608 218317056 236510144 266073912 291089408 327475584 354765216 436634112 473020288 532147824 582178816 654951168 709530432 873268224 946040576 1064295648 1164357632 1309902336 1419060864 1746536448 1892081152 2128591296 2619804672 2838121728 3493072896 3784162304 4257182592 5239609344 5676243456 7568324608 8514365184 10479218688 11352486912 15136649216 17028730368 22704973824 34057460736 45409947648 68114921472 136229842944