Search a number
-
+
136232241040 = 24574713737781
BaseRepresentation
bin111111011100000010…
…0110000011110010000
3111000122020222220010001
41332320010300132100
54213000423203130
6142330105415344
712561650641210
oct1767004603620
9430566886101
10136232241040
1152859604065
122249ba9a554
13cb0110591c
146845090240
1538250736ca
hex1fb8130790

136232241040 has 160 divisors (see below), whose sum is σ = 372398736384. Its totient is φ = 45379522560.

The previous prime is 136232241011. The next prime is 136232241049. The reversal of 136232241040 is 40142232631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (136232241049) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3586950 + ... + 3624730.

Almost surely, 2136232241040 is an apocalyptic number.

136232241040 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 136232241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186199368192).

136232241040 is an abundant number, since it is smaller than the sum of its proper divisors (236166495344).

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

136232241040 is a wasteful number, since it uses less digits than its factorization.

136232241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37985 (or 37979 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 136232241040 its reverse (40142232631), we get a palindrome (176374473671).

The spelling of 136232241040 in words is "one hundred thirty-six billion, two hundred thirty-two million, two hundred forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 47 56 70 80 94 112 137 140 188 235 274 280 329 376 470 548 560 658 685 752 940 959 1096 1316 1370 1645 1880 1918 2192 2632 2740 3290 3760 3836 4795 5264 5480 6439 6580 7672 9590 10960 12878 13160 15344 19180 25756 26320 32195 37781 38360 45073 51512 64390 75562 76720 90146 103024 128780 151124 180292 188905 225365 257560 264467 302248 360584 377810 450730 515120 528934 604496 721168 755620 901460 1057868 1322335 1511240 1775707 1802920 2115736 2644670 3022480 3551414 3605840 4231472 5175997 5289340 7102828 8878535 10351994 10578680 12429949 14205656 17757070 20703988 21157360 24859898 25879985 28411312 35514140 36231979 41407976 49719796 51759970 62149745 71028280 72463958 82815952 99439592 103519940 124299490 142056560 144927916 181159895 198879184 207039880 243271859 248598980 289855832 362319790 414079760 486543718 497197960 579711664 724639580 973087436 994395920 1216359295 1449279160 1702903013 1946174872 2432718590 2898558320 3405806026 3892349744 4865437180 6811612052 8514515065 9730874360 13623224104 17029030130 19461748720 27246448208 34058060260 68116120520 136232241040