Search a number
-
+
136872471144 = 233171314635531
BaseRepresentation
bin111111101111000111…
…1000010101001101000
3111002021212200221201010
41333132033002221220
54220303323034034
6142513420023520
712613553544243
oct1773617025150
9432255627633
10136872471144
1153057a3a452
122263a391ba0
13cba39489c6
1468a610a25a
15386138b3e9
hex1fde3c2a68

136872471144 has 128 divisors (see below), whose sum is σ = 365929850880. Its totient is φ = 42512870400.

The previous prime is 136872471121. The next prime is 136872471173. The reversal of 136872471144 is 441174278631.

It is a happy number.

136872471144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1368724711442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 136872471093 and 136872471102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24743659 + ... + 24749189.

It is an arithmetic number, because the mean of its divisors is an integer number (2858826960).

Almost surely, 2136872471144 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 136872471144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182964925440).

136872471144 is an abundant number, since it is smaller than the sum of its proper divisors (229057379736).

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

136872471144 is a wasteful number, since it uses less digits than its factorization.

136872471144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6151 (or 6147 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The spelling of 136872471144 in words is "one hundred thirty-six billion, eight hundred seventy-two million, four hundred seventy-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 131 136 204 262 393 408 463 524 786 926 1048 1389 1572 1852 2227 2778 3144 3704 4454 5531 5556 6681 7871 8908 11062 11112 13362 15742 16593 17816 22124 23613 26724 31484 33186 44248 47226 53448 60653 62968 66372 94027 94452 121306 132744 181959 188054 188904 242612 282081 363918 376108 485224 564162 724561 727836 752216 1031101 1128324 1449122 1455672 2062202 2173683 2256648 2560853 2898244 3093303 4124404 4347366 5121706 5796488 6186606 7682559 8248808 8694732 10243412 12317537 12373212 15365118 17389464 20486824 24635074 24746424 30730236 36952611 43534501 49270148 61460472 73905222 87069002 98540296 130603503 147810444 174138004 261207006 295620888 335471743 348276008 522414012 670943486 1006415229 1044828024 1341886972 2012830458 2683773944 4025660916 5703019631 8051321832 11406039262 17109058893 22812078524 34218117786 45624157048 68436235572 136872471144