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3140423104224 = 253731150749957
BaseRepresentation
bin101101101100101111110…
…011011011011011100000
3102010012222111010002002010
4231230233303123123200
5402423041303313344
610402405045552520
7442613416643310
oct55545763333340
912105874102063
103140423104224
111000933a7632a
12428775415740
1319a1a9c62813
14abdd67c1440
1556a5268e8b9
hex2db2fcdb6e0

3140423104224 has 96 divisors (see below), whose sum is σ = 9725181290496. Its totient is φ = 868319746560.

The previous prime is 3140423104223. The next prime is 3140423104237. The reversal of 3140423104224 is 4224013240413.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3140423104191 and 3140423104200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3140423104223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75354147 + ... + 75395810.

It is an arithmetic number, because the mean of its divisors is an integer number (101303971776).

Almost surely, 23140423104224 is an apocalyptic number.

It is an amenable number.

3140423104224 is an abundant number, since it is smaller than the sum of its proper divisors (6584758186272).

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

3140423104224 is a wasteful number, since it uses less digits than its factorization.

3140423104224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150750008 (or 150750000 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 3140423104224 its reverse (4224013240413), we get a palindrome (7364436344637).

The spelling of 3140423104224 in words is "three trillion, one hundred forty billion, four hundred twenty-three million, one hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6944 10416 20832 150749957 301499914 452249871 602999828 904499742 1055249699 1205999656 1808999484 2110499398 2411999312 3165749097 3617998968 4220998796 4673248667 4823998624 6331498194 7235997936 8441997592 9346497334 12662996388 14019746001 14471995872 16883995184 18692994668 25325992776 28039492002 32712740669 33767990368 37385989336 50651985552 56078984004 65425481338 74771978672 98138222007 101303971104 112157968008 130850962676 149543957344 196276444014 224315936016 261701925352 392552888028 448631872032 523403850704 785105776056 1046807701408 1570211552112 3140423104224