Search a number
-
+
135431402431024 = 24765310931694213
BaseRepresentation
bin11110110010110010010100…
…101000100010001000110000
3122202112010010021220120020201
4132302302110220202020300
5120222402003010243044
61200012154413444544
740345411255502650
oct3662622450421060
9582463107816221
10135431402431024
113a175153a8a317
121323361a7a0754
135a75184a6c9cb
142562cb44d8360
15109cd354b27d4
hex7b2c94a22230

135431402431024 has 80 divisors (see below), whose sum is σ = 300618025054272. Its totient is φ = 57900088157184.

The previous prime is 135431402430971. The next prime is 135431402431027. The reversal of 135431402431024 is 420134204134531.

It is not an unprimeable number, because it can be changed into a prime (135431402431027) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 79090542 + ... + 80784754.

Almost surely, 2135431402431024 is an apocalyptic number.

135431402431024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135431402431024 is an abundant number, since it is smaller than the sum of its proper divisors (165186622623248).

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

135431402431024 is a wasteful number, since it uses less digits than its factorization.

135431402431024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695974 (or 1695968 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

Adding to 135431402431024 its reverse (420134204134531), we get a palindrome (555565606565555).

The spelling of 135431402431024 in words is "one hundred thirty-five trillion, four hundred thirty-one billion, four hundred two million, four hundred thirty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 653 1093 1306 2186 2612 4372 4571 5224 7651 8744 9142 10448 15302 17488 18284 30604 36568 61208 73136 122416 713729 1427458 1694213 2854916 3388426 4996103 5709832 6776852 9992206 11419664 11859491 13553704 19984412 23718982 27107408 39968824 47437964 79937648 94875928 189751856 1106321089 1851774809 2212642178 3703549618 4425284356 7407099236 7744247623 8850568712 12962423663 14814198472 15488495246 17701137424 25924847326 29628396944 30976990492 51849694652 61953980984 103699389304 123907961968 207398778608 1209208950277 2418417900554 4836835801108 8464462651939 9673671602216 16928925303878 19347343204432 33857850607756 67715701215512 135431402431024