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40032223440 = 24351115163721
BaseRepresentation
bin100101010010000110…
…110100000011010000
310211022220200122202020
4211102012310003100
51123441222122230
630220205251440
72615015166456
oct452206640320
9124286618666
1040032223440
1115a83167a90
127912863b80
133a0c9555a1
141d1a9989d6
15109474e810
hex9521b40d0

40032223440 has 80 divisors (see below), whose sum is σ = 135381710016. Its totient is φ = 9704780800.

The previous prime is 40032223433. The next prime is 40032223493. The reversal of 40032223440 is 4432223004.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40032223440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7579221 + ... + 7584500.

Almost surely, 240032223440 is an apocalyptic number.

40032223440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40032223440 is an abundant number, since it is smaller than the sum of its proper divisors (95349486576).

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

40032223440 is a wasteful number, since it uses less digits than its factorization.

40032223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15163748 (or 15163742 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 40032223440 its reverse (4432223004), we get a palindrome (44464446444).

The spelling of 40032223440 in words is "forty billion, thirty-two million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 15163721 30327442 45491163 60654884 75818605 90982326 121309768 151637210 166800931 181964652 227455815 242619536 303274420 333601862 363929304 454911630 500402793 606548840 667203724 727858608 834004655 909823260 1000805586 1213097680 1334407448 1668009310 1819646520 2001611172 2502013965 2668814896 3336018620 3639293040 4003222344 5004027930 6672037240 8006444688 10008055860 13344074480 20016111720 40032223440