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136342414104 = 233132383228913
BaseRepresentation
bin111111011111010100…
…1000010001100011000
3111000220221022021010220
41332332221002030120
54213212124222404
6142345043040040
712564456253401
oct1767651021430
9430827267126
10136342414104
1152905813786
1222510970020
13cb1ab9b9a0
14685596c9a8
15382ea874d9
hex1fbea42318

136342414104 has 128 divisors (see below), whose sum is σ = 387652124160. Its totient is φ = 39643895808.

The previous prime is 136342414099. The next prime is 136342414133. The reversal of 136342414104 is 401414243631.

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 31 ways as a sum of consecutive naturals, for example, 481152 + ... + 710064.

It is an arithmetic number, because the mean of its divisors is an integer number (3028532220).

Almost surely, 2136342414104 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 136342414104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193826062080).

136342414104 is an abundant number, since it is smaller than the sum of its proper divisors (251309710056).

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

136342414104 is a wasteful number, since it uses less digits than its factorization.

136342414104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229041 (or 229037 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 136342414104 its reverse (401414243631), we get a palindrome (537756657735).

The spelling of 136342414104 in words is "one hundred thirty-six billion, three hundred forty-two million, four hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 83 92 104 138 156 166 184 249 276 299 312 332 498 552 598 664 897 996 1079 1196 1794 1909 1992 2158 2392 3237 3588 3818 4316 5727 6474 7176 7636 8632 11454 12948 15272 22908 24817 25896 45816 49634 74451 99268 148902 198536 228913 297804 457826 595608 686739 915652 1373478 1831304 2746956 2975869 5264999 5493912 5951738 8927607 10529998 11903476 15794997 17855214 18999779 21059996 23806952 31589994 35710428 37999558 42119992 56999337 63179988 68444987 71420856 75999116 113998674 126359976 136889974 151998232 205334961 227997348 246997127 273779948 410669922 436994917 455994696 493994254 547559896 740991381 821339844 873989834 987988508 1310984751 1481982762 1642679688 1747979668 1975977016 2621969502 2963965524 3495959336 5243939004 5680933921 5927931048 10487878008 11361867842 17042801763 22723735684 34085603526 45447471368 68171207052 136342414104