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136431871281 = 321712719136761
BaseRepresentation
bin111111100001111111…
…0010010010100110001
3111001011011122011022200
41333003332102110301
54213403024340111
6142402000253413
712566623525446
oct1770376222461
9431134564280
10136431871281
1152951264232
1222536911269
13cb33590824
1468637b79cd
153837858256
hex1fc3f92531

136431871281 has 48 divisors (see below), whose sum is σ = 211410321408. Its totient is φ = 84483302400.

The previous prime is 136431871259. The next prime is 136431871313. The reversal of 136431871281 is 182178134631.

136431871281 is a `hidden beast` number, since 1 + 364 + 3 + 1 + 8 + 7 + 1 + 281 = 666.

It is not a de Polignac number, because 136431871281 - 26 = 136431871217 is a prime.

It is a super-2 number, since 2×1364318712812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (136431871211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3692941 + ... + 3729701.

It is an arithmetic number, because the mean of its divisors is an integer number (4404381696).

Almost surely, 2136431871281 is an apocalyptic number.

It is an amenable number.

136431871281 is a deficient number, since it is larger than the sum of its proper divisors (74978450127).

136431871281 is a wasteful number, since it uses less digits than its factorization.

136431871281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37102 (or 37099 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 136431871281 in words is "one hundred thirty-six billion, four hundred thirty-one million, eight hundred seventy-one thousand, two hundred eighty-one".

Divisors: 1 3 9 17 51 127 153 191 381 573 1143 1719 2159 3247 6477 9741 19431 24257 29223 36761 72771 110283 218313 330849 412369 624937 1237107 1874811 3711321 4668647 5624433 7021351 14005941 21064053 42017823 63192159 79366999 119362967 238100997 358088901 714302991 891711577 1074266703 2675134731 8025404193 15159096809 45477290427 136431871281