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400044642000 = 2435366674107
BaseRepresentation
bin1011101001001001000…
…01001100111011010000
31102020120210120102022020
411310210201030323100
523023242412021000
6503440013011440
740621323231423
oct5644441147320
91366523512266
10400044642000
11144726853613
1265646183b80
132b95496ba23
14155100a39ba
15a6157b5ba0
hex5d2484ced0

400044642000 has 80 divisors (see below), whose sum is σ = 1289743945152. Its totient is φ = 106678569600.

The previous prime is 400044641957. The next prime is 400044642029. The reversal of 400044642000 is 246440004.

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 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 15 ways as a sum of consecutive naturals, for example, 33331054 + ... + 33343053.

Almost surely, 2400044642000 is an apocalyptic number.

400044642000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400044642000 is an abundant number, since it is smaller than the sum of its proper divisors (889699303152).

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

400044642000 is a wasteful number, since it uses less digits than its factorization.

400044642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66674133 (or 66674117 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The spelling of 400044642000 in words is "four hundred billion, forty-four million, six hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 66674107 133348214 200022321 266696428 333370535 400044642 533392856 666741070 800089284 1000111605 1066785712 1333482140 1600178568 1666852675 2000223210 2666964280 3200357136 3333705350 4000446420 5000558025 5333928560 6667410700 8000892840 8334263375 10001116050 13334821400 16001785680 16668526750 20002232100 25002790125 26669642800 33337053500 40004464200 50005580250 66674107000 80008928400 100011160500 133348214000 200022321000 400044642000