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400040404000 = 2553891123709
BaseRepresentation
bin1011101001001000100…
…01000010010000100000
31102020120111121002212021
411310210101002100200
523023240320412000
6503435342111224
740621242220636
oct5644421022040
91366514532767
10400040404000
11144724419536
126564487b514
132b953b16a33
141550d6bd356
15a61522a11a
hex5d24442420

400040404000 has 96 divisors (see below), whose sum is σ = 993943969200. Its totient is φ = 158218086400.

The previous prime is 400040403877. The next prime is 400040404021. The reversal of 400040404000 is 404040004.

It can be written as a sum of positive squares in 8 ways, for example, as 22223653776 + 377816750224 = 149076^2 + 614668^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205855 + ... + 917854.

Almost surely, 2400040404000 is an apocalyptic number.

400040404000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400040404000 is an abundant number, since it is smaller than the sum of its proper divisors (593903565200).

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

400040404000 is a wasteful number, since it uses less digits than its factorization.

400040404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123823 (or 1123805 counting only the distinct ones).

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

Adding to 400040404000 its reverse (404040004), we get a palindrome (400444444004).

The spelling of 400040404000 in words is "four hundred billion, forty million, four hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 89 100 125 160 178 200 250 356 400 445 500 712 800 890 1000 1424 1780 2000 2225 2848 3560 4000 4450 7120 8900 11125 14240 17800 22250 35600 44500 71200 89000 178000 356000 1123709 2247418 4494836 5618545 8989672 11237090 17979344 22474180 28092725 35958688 44948360 56185450 89896720 100010101 112370900 140463625 179793440 200020202 224741800 280927250 400040404 449483600 500050505 561854500 800080808 898967200 1000101010 1123709000 1600161616 2000202020 2247418000 2500252525 3200323232 4000404040 4494836000 5000505050 8000808080 10001010100 12501262625 16001616160 20002020200 25002525250 40004040400 50005050500 80008080800 100010101000 200020202000 400040404000