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40040404000000 = 285610010101
BaseRepresentation
bin10010001101010101000100…
…00011101001110100000000
312020202211021121011212121221
421012222202003221310000
520222010221411000000
6221054150242124424
711301552352266055
oct1106524203516400
9166684247155557
1040040404000000
1111838049230308
1245a8122350714
131945a4225c181
149c5d745ad02c
15496821e0761a
hex246aa20e9d00

40040404000000 has 126 divisors (see below), whose sum is σ = 99904231404782. Its totient is φ = 16016160000000.

The previous prime is 40040403999949. The next prime is 40040404000031. The reversal of 40040404000000 is 40404004.

It can be written as a sum of positive squares in 7 ways, for example, as 38153451215104 + 1886952784896 = 6176848^2 + 1373664^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1005051 + ... + 9005050.

Almost surely, 240040404000000 is an apocalyptic number.

40040404000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40040404000000 is an abundant number, since it is smaller than the sum of its proper divisors (59863827404782).

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

40040404000000 is an frugal number, since it uses more digits than its factorization.

40040404000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10010147 (or 10010108 counting only the distinct ones).

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

Adding to 40040404000000 its reverse (40404004), we get a palindrome (40040444404004).

The spelling of 40040404000000 in words is "forty trillion, forty billion, four hundred four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 50000 62500 80000 100000 125000 160000 200000 250000 400000 500000 800000 1000000 2000000 4000000 10010101 20020202 40040404 50050505 80080808 100101010 160161616 200202020 250252525 320323232 400404040 500505050 640646464 800808080 1001010100 1251262625 1281292928 1601616160 2002020200 2502525250 2562585856 3203232320 4004040400 5005050500 6256313125 6406464640 8008080800 10010101000 12512626250 12812929280 16016161600 20020202000 25025252500 31281565625 32032323200 40040404000 50050505000 62563131250 64064646400 80080808000 100101010000 125126262500 156407828125 160161616000 200202020000 250252525000 312815656250 320323232000 400404040000 500505050000 625631312500 800808080000 1001010100000 1251262625000 1601616160000 2002020200000 2502525250000 4004040400000 5005050500000 8008080800000 10010101000000 20020202000000 40040404000000