Search a number
-
+
136144625116344 = 233131328573284441
BaseRepresentation
bin11110111101001010100100…
…000001001010010010111000
3122212001022002000012222021120
4132331022210001022102320
5120321043143012210334
61201315551035105240
740451060504343315
oct3675124401122270
9585038060188246
10136144625116344
113a41a67a660119
12133298a75a2220
135ac74c97793b0
142589613973d0c
1510b167a307949
hex7bd2a404a4b8

136144625116344 has 64 divisors (see below), whose sum is σ = 366546091998240. Its totient is φ = 41890325821440.

The previous prime is 136144625116309. The next prime is 136144625116429. The reversal of 136144625116344 is 443611526441631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39809164 + ... + 43093604.

Almost surely, 2136144625116344 is an apocalyptic number.

It is an amenable number.

136144625116344 is an abundant number, since it is smaller than the sum of its proper divisors (230401466881896).

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

136144625116344 is a wasteful number, since it uses less digits than its factorization.

136144625116344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417320 (or 3417316 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 51.

The spelling of 136144625116344 in words is "one hundred thirty-six trillion, one hundred forty-four billion, six hundred twenty-five million, one hundred sixteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 132857 265714 398571 531428 797142 1062856 1594284 1727141 3188568 3284441 3454282 5181423 6568882 6908564 9853323 10362846 13137764 13817128 19706646 20725692 26275528 39413292 41451384 42697733 78826584 85395466 128093199 170790932 256186398 341581864 512372796 1024745592 436360977937 872721955874 1309082933811 1745443911748 2618165867622 3490887823496 5236331735244 5672692713181 10472663470488 11345385426362 17018078139543 22690770852724 34036156279086 45381541705448 68072312558172 136144625116344