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136433332431 = 3211173719111471
BaseRepresentation
bin111111100010000001…
…1110111000011001111
3111001011021101101122100
41333010003313003033
54213403413114211
6142402051450143
712566642122404
oct1770403670317
9431137341570
10136433332431
1152952071aa0
12225372b6953
13cb33982906
146863a782ab
153837a46156
hex1fc40f70cf

136433332431 has 96 divisors (see below), whose sum is σ = 235028791296. Its totient is φ = 75316608000.

The previous prime is 136433332403. The next prime is 136433332457. The reversal of 136433332431 is 134233334631.

136433332431 is a `hidden beast` number, since 1 + 3 + 643 + 3 + 3 + 3 + 2 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 136433332431 - 29 = 136433331919 is a prime.

It is a super-2 number, since 2×1364333324312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136433332481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11888026 + ... + 11899496.

It is an arithmetic number, because the mean of its divisors is an integer number (2448216576).

Almost surely, 2136433332431 is an apocalyptic number.

136433332431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

136433332431 is a deficient number, since it is larger than the sum of its proper divisors (98595458865).

136433332431 is a wasteful number, since it uses less digits than its factorization.

136433332431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11733 (or 11730 counting only the distinct ones).

The product of its digits is 139968, while the sum is 36.

It can be divided in two parts, 136433 and 332431, that added together give a palindrome (468864).

The spelling of 136433332431 in words is "one hundred thirty-six billion, four hundred thirty-three million, three hundred thirty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 11 17 33 37 51 99 111 153 187 191 333 407 561 573 629 1221 1683 1719 1887 2101 3247 3663 5661 6303 6919 7067 9741 11471 18909 20757 21201 29223 34413 35717 62271 63603 77737 103239 107151 120139 126181 195007 233211 321453 360417 378543 424427 585021 699633 1081251 1135629 1273281 1321529 1755063 2145077 2190961 3819843 3964587 4668697 6435231 6572883 7215259 11893761 14006091 19305693 19718649 21645777 24100571 37246337 42018273 64937331 72301713 79367849 81065557 111739011 216905139 238103547 243196671 335217033 409709707 714310641 729590013 891721127 1229129121 1378114469 2675163381 3687387363 4134343407 8025490143 12403030221 15159259159 45477777477 136433332431