Search a number
-
+
40114114524 = 223211346929201
BaseRepresentation
bin100101010110111111…
…001100111111011100
310211112121210011012100
4211112333030333130
51124123203131044
630232252405100
72620031230131
oct452677147734
9124477704170
1040114114524
111601540aa70
127936176790
133a238c8653
141d277d4588
15109ba28869
hex956fccfdc

40114114524 has 72 divisors (see below), whose sum is σ = 110653386480. Its totient is φ = 12151872000.

The previous prime is 40114114507. The next prime is 40114114531. The reversal of 40114114524 is 42541141104.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1359124 + ... + 1388324.

It is an arithmetic number, because the mean of its divisors is an integer number (1536852590).

Almost surely, 240114114524 is an apocalyptic number.

40114114524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40114114524 is an abundant number, since it is smaller than the sum of its proper divisors (70539271956).

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

40114114524 is a wasteful number, since it uses less digits than its factorization.

40114114524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32691 (or 32686 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 40114114524 its reverse (42541141104), we get a palindrome (82655255628).

The spelling of 40114114524 in words is "forty billion, one hundred fourteen million, one hundred fourteen thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 3469 6938 10407 13876 20814 29201 31221 38159 41628 58402 62442 76318 87603 114477 116804 124884 152636 175206 228954 262809 321211 343431 350412 457908 525618 642422 686862 963633 1051236 1284844 1373724 1927266 2890899 3854532 5781798 11563596 101298269 202596538 303894807 405193076 607789614 911684421 1114280959 1215579228 1823368842 2228561918 3342842877 3646737684 4457123836 6685685754 10028528631 13371371508 20057057262 40114114524