Search a number
-
+
40404000400 = 2452311324791
BaseRepresentation
bin100101101000010001…
…000001111010010000
310212021211020212212021
4211220101001322100
51130221411003100
630321125541224
72630151223351
oct455021017220
9125254225767
1040404000400
1116154006575
1279b7274814
133a6b99495a
141d540d3d28
1510b71daa1a
hex968441e90

40404000400 has 60 divisors (see below), whose sum is σ = 97383034944. Its totient is φ = 16109584000.

The previous prime is 40404000359. The next prime is 40404000409. The reversal of 40404000400 is 400040404.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (40404000409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 37996 + ... + 286795.

Almost surely, 240404000400 is an apocalyptic number.

40404000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40404000400 is an abundant number, since it is smaller than the sum of its proper divisors (56979034544).

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

40404000400 is a wasteful number, since it uses less digits than its factorization.

40404000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325120 (or 325109 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 40404000400 its reverse (400040404), we get a palindrome (40804040804).

The spelling of 40404000400 in words is "forty billion, four hundred four million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 311 400 622 1244 1555 2488 3110 4976 6220 7775 12440 15550 24880 31100 62200 124400 324791 649582 1299164 1623955 2598328 3247910 5196656 6495820 8119775 12991640 16239550 25983280 32479100 64958200 101010001 129916400 202020002 404040004 505050005 808080008 1010100010 1616160016 2020200020 2525250025 4040400040 5050500050 8080800080 10101000100 20202000200 40404000400