Search a number
-
+
136191844224 = 2732611938067
BaseRepresentation
bin111111011010110101…
…0101001111110000000
3111000112102222112002200
41332311222221332000
54212410103003344
6142322103513200
712560650401222
oct1766552517600
9430472875080
10136191844224
1152838822367
122248a458800
13cac5930597
14683d976412
153821744069
hex1fb5aa9f80

136191844224 has 96 divisors (see below), whose sum is σ = 398331116040. Its totient is φ = 44653040640.

The previous prime is 136191844223. The next prime is 136191844277. The reversal of 136191844224 is 422448191631.

136191844224 is a `hidden beast` number, since 1 + 3 + 61 + 91 + 84 + 422 + 4 = 666.

136191844224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 136191844224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136191844223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 898762 + ... + 1039305.

Almost surely, 2136191844224 is an apocalyptic number.

It is an amenable number.

136191844224 is an abundant number, since it is smaller than the sum of its proper divisors (262139271816).

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

136191844224 is a wasteful number, since it uses less digits than its factorization.

136191844224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938148 (or 1938133 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 136191844224 in words is "one hundred thirty-six billion, one hundred ninety-one million, eight hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 288 366 384 488 549 576 732 976 1098 1152 1464 1952 2196 2928 3904 4392 5856 7808 8784 11712 17568 23424 35136 70272 1938067 3876134 5814201 7752268 11628402 15504536 17442603 23256804 31009072 34885206 46513608 62018144 69770412 93027216 118222087 124036288 139540824 186054432 236444174 248072576 279081648 354666261 372108864 472888348 558163296 709332522 744217728 945776696 1063998783 1116326592 1418665044 1891553392 2127997566 2232653184 2837330088 3783106784 4255995132 5674660176 7566213568 8511990264 11349320352 15132427136 17023980528 22698640704 34047961056 45397281408 68095922112 136191844224