Search a number
-
+
136342540040 = 23571925799721
BaseRepresentation
bin111111011111010100…
…1100000111100001000
3111000220221112122220012
41332332221200330020
54213212142240130
6142345045451052
712564460316510
oct1767651407410
9430827478805
10136342540040
115290589a363
1222510a10a88
13cb1ac140c5
1468559a2840
15382eaae995
hex1fbea60f08

136342540040 has 128 divisors (see below), whose sum is σ = 370487174400. Its totient is φ = 44112936960.

The previous prime is 136342540003. The next prime is 136342540049. The reversal of 136342540040 is 40045243631.

It is a junction number, because it is equal to n+sod(n) for n = 136342539979 and 136342540006.

It is not an unprimeable number, because it can be changed into a prime (136342540049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1317380 + ... + 1417100.

It is an arithmetic number, because the mean of its divisors is an integer number (2894431050).

Almost surely, 2136342540040 is an apocalyptic number.

136342540040 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 136342540040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185243587200).

136342540040 is an abundant number, since it is smaller than the sum of its proper divisors (234144634360).

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

136342540040 is a wasteful number, since it uses less digits than its factorization.

136342540040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100015 (or 100011 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 136342540040 its reverse (40045243631), we get a palindrome (176387783671).

The spelling of 136342540040 in words is "one hundred thirty-six billion, three hundred forty-two million, five hundred forty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 257 266 280 380 514 532 665 760 1028 1064 1285 1330 1799 2056 2570 2660 3598 4883 5140 5320 7196 8995 9766 10280 14392 17990 19532 24415 34181 35980 39064 48830 68362 71960 97660 99721 136724 170905 195320 199442 273448 341810 398884 498605 683620 698047 797768 997210 1367240 1396094 1894699 1994420 2792188 3490235 3789398 3988840 5584376 6980470 7578796 9473495 13262893 13960940 15157592 18946990 25628297 26525786 27921880 37893980 51256594 53051572 66314465 75787960 102513188 106103144 128141485 132628930 179398079 205026376 256282970 265257860 358796158 486937643 512565940 530515720 717592316 896990395 973875286 1025131880 1435184632 1793980790 1947750572 2434688215 3408563501 3587961580 3895501144 4869376430 6817127002 7175923160 9738752860 13634254004 17042817505 19477505720 27268508008 34085635010 68171270020 136342540040