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2382421890240 = 263257313812119
BaseRepresentation
bin100010101010110011011…
…010010001010011000000
322102202110002002201112200
4202222303122101103000
5303013200000441430
65022245225153200
7334060430636460
oct42526332212300
98382402081480
102382421890240
1183941a058147
1232589032b800
1314387a1a9322
148344a287ba0
1541e8b5a7460
hex22ab36914c0

2382421890240 has 336 divisors, whose sum is σ = 9667292344320. Its totient is φ = 526987192320.

The previous prime is 2382421890239. The next prime is 2382421890287. The reversal of 2382421890240 is 420981242832.

2382421890240 is a `hidden beast` number, since 2 + 382 + 4 + 21 + 8 + 9 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 1281100 + ... + 2531019.

Almost surely, 22382421890240 is an apocalyptic number.

2382421890240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2382421890240 is an abundant number, since it is smaller than the sum of its proper divisors (7284870454080).

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

2382421890240 is a wasteful number, since it uses less digits than its factorization.

2382421890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3812180 (or 3812167 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 2382421890240 in words is "two trillion, three hundred eighty-two billion, four hundred twenty-one million, eight hundred ninety thousand, two hundred forty".