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42024521000 = 2353711545773
BaseRepresentation
bin100111001000110110…
…110100110100101000
311000110202112212012202
4213020312310310220
51142031234133000
631150015155332
73015256351250
oct471066646450
9130422485182
1042024521000
11169058236a0
128189b15b48
133c69633a97
14206940a960
15115e5dedd5
hex9c8db4d28

42024521000 has 128 divisors (see below), whose sum is σ = 122602671360. Its totient is φ = 13098528000.

The previous prime is 42024520991. The next prime is 42024521017. The reversal of 42024521000 is 12542024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 195887 + ... + 349886.

It is an arithmetic number, because the mean of its divisors is an integer number (957833370).

Almost surely, 242024521000 is an apocalyptic number.

42024521000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42024521000 is an abundant number, since it is smaller than the sum of its proper divisors (80578150360).

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

42024521000 is a wasteful number, since it uses less digits than its factorization.

42024521000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545812 (or 545798 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The spelling of 42024521000 in words is "forty-two billion, twenty-four million, five hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 700 770 875 1000 1100 1375 1400 1540 1750 1925 2200 2750 3080 3500 3850 5500 7000 7700 9625 11000 15400 19250 38500 77000 545773 1091546 2183092 2728865 3820411 4366184 5457730 6003503 7640822 10915460 12007006 13644325 15281644 19102055 21830920 24014012 27288650 30017515 30563288 38204110 42024521 48028024 54577300 60035030 68221625 76408220 84049042 95510275 109154600 120070060 136443250 150087575 152816440 168098084 191020550 210122605 240140120 272886500 300175150 336196168 382041100 420245210 477551375 545773000 600350300 750437875 764082200 840490420 955102750 1050613025 1200700600 1500875750 1680980840 1910205500 2101226050 3001751500 3820411000 4202452100 5253065125 6003503000 8404904200 10506130250 21012260500 42024521000