Search a number
-
+
40400444004 = 2233723836421
BaseRepresentation
bin100101101000000011…
…011101101001100100
310212021120120012101220
4211220003131221210
51130220003202004
630320521420340
72630106052014
oct455003355144
9125246505356
1040400444004
1116151aa75a8
1279b603a6b0
133a6b01ac8b
141d53849c44
1510b6c36dd9
hex9680dda64

40400444004 has 72 divisors (see below), whose sum is σ = 97152427008. Its totient is φ = 13066600320.

The previous prime is 40400443991. The next prime is 40400444017. The reversal of 40400444004 is 40044400404.

It is an interprime number because it is at equal distance from previous prime (40400443991) and next prime (40400444017).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6288714 + ... + 6295134.

It is an arithmetic number, because the mean of its divisors is an integer number (1349339264).

Almost surely, 240400444004 is an apocalyptic number.

It is an amenable number.

40400444004 is an abundant number, since it is smaller than the sum of its proper divisors (56751983004).

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

40400444004 is a wasteful number, since it uses less digits than its factorization.

40400444004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6885 (or 6846 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 40400444004 its reverse (40044400404), we get a palindrome (80444844408).

The spelling of 40400444004 in words is "forty billion, four hundred million, four hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 383 444 766 1149 1369 1532 2298 2738 4107 4596 5476 6421 8214 12842 14171 16428 19263 25684 28342 38526 42513 56684 77052 85026 170052 237577 475154 524327 712731 950308 1048654 1425462 1572981 2097308 2459243 2850924 3145962 4918486 6291924 7377729 8790349 9836972 14755458 17580698 26371047 29510916 35161396 52742094 90991991 105484188 181983982 272975973 363967964 545951946 1091903892 3366703667 6733407334 10100111001 13466814668 20200222002 40400444004