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40042022424000 = 263531668417601
BaseRepresentation
bin10010001101011000000101…
…00001011100110111000000
312020202222110101112022222120
421012230002201130313000
520222022030220032000
6221055015014404240
711301640433542302
oct1106540241346700
9166688411468876
1040042022424000
11118387a9846203
1245a84b4360680
131945c3c645bcc
149c60894db972
154968b90456a0
hex246b0285cdc0

40042022424000 has 112 divisors (see below), whose sum is σ = 132218758123296. Its totient is φ = 10677872640000.

The previous prime is 40042022423987. The next prime is 40042022424091. The reversal of 40042022424000 is 42422024004.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 834184801 + ... + 834232800.

Almost surely, 240042022424000 is an apocalyptic number.

40042022424000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40042022424000 is an abundant number, since it is smaller than the sum of its proper divisors (92176735699296).

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

40042022424000 is a wasteful number, since it uses less digits than its factorization.

40042022424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668417631 (or 1668417611 counting only the distinct ones).

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

Adding to 40042022424000 its reverse (42422024004), we get a palindrome (40084444448004).

The spelling of 40042022424000 in words is "forty trillion, forty-two billion, twenty-two million, four hundred twenty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4800 6000 8000 12000 24000 1668417601 3336835202 5005252803 6673670404 8342088005 10010505606 13347340808 16684176010 20021011212 25026264015 26694681616 33368352020 40042022424 41710440025 50052528030 53389363232 66736704040 80084044848 83420880050 100105056060 106778726464 125131320075 133473408080 160168089696 166841760100 200210112120 208552200125 250262640150 266946816160 320336179392 333683520200 400420224240 417104400250 500525280300 533893632320 625656600375 667367040400 800840448480 834208800500 1001050560600 1251313200750 1334734080800 1601680896960 1668417601000 2002101121200 2502626401500 2669468161600 3336835202000 4004202242400 5005252803000 6673670404000 8008404484800 10010505606000 13347340808000 20021011212000 40042022424000