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3122324144440 = 2351013167244033
BaseRepresentation
bin101101011011111001000…
…001011000000100111000
3102001111021010201122202021
4231123321001120010320
5402124004440110230
610350213110244224
7441403050220564
oct55337101300470
912044233648667
103122324144440
11aa4196642a26
12425164056674
13198584394067
14ab19ab946a4
1556343789c7a
hex2d6f9058138

3122324144440 has 64 divisors (see below), whose sum is σ = 7097055356160. Its totient is φ = 1236168499200.

The previous prime is 3122324144417. The next prime is 3122324144531. The reversal of 3122324144440 is 444414232213.

It is a junction number, because it is equal to n+sod(n) for n = 3122324144396 and 3122324144405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12672664 + ... + 12916696.

It is an arithmetic number, because the mean of its divisors is an integer number (110891489940).

Almost surely, 23122324144440 is an apocalyptic number.

It is an amenable number.

3122324144440 is an abundant number, since it is smaller than the sum of its proper divisors (3974731211720).

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

3122324144440 is a wasteful number, since it uses less digits than its factorization.

3122324144440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247312 (or 247308 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 3122324144440 its reverse (444414232213), we get a palindrome (3566738376653).

The spelling of 3122324144440 in words is "three trillion, one hundred twenty-two billion, three hundred twenty-four million, one hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 3167 4040 6334 12668 15835 25336 31670 63340 126680 244033 319867 488066 639734 976132 1220165 1279468 1599335 1952264 2440330 2558936 3198670 4880660 6397340 9761320 12794680 24647333 49294666 98589332 123236665 197178664 246473330 492946660 772852511 985893320 1545705022 3091410044 3864262555 6182820088 7728525110 15457050220 30914100440 78058103611 156116207222 312232414444 390290518055 624464828888 780581036110 1561162072220 3122324144440