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3140233105104 = 2432294118340769
BaseRepresentation
bin101101101100100100011…
…110101000111011010000
3102010012111020121010021200
4231230210132220323100
5402422144133330404
610402334141351200
7442605621661104
oct55544436507320
912105436533250
103140233105104
1110008467a4167
12428721868500
1319a17979a5c4
14abdb9483904
1556a40b5d839
hex2db247a8ed0

3140233105104 has 120 divisors (see below), whose sum is σ = 9313076190600. Its totient is φ = 985999687680.

The previous prime is 3140233105099. The next prime is 3140233105117. The reversal of 3140233105104 is 4015013320413.

It is a happy number.

3140233105104 is a `hidden beast` number, since 3 + 140 + 2 + 3 + 3 + 1 + 0 + 510 + 4 = 666.

3140233105104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 533454944400 + 2606778160704 = 730380^2 + 1614552^2 .

It is a super-2 number, since 2×31402331051042 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8999169 + ... + 9341600.

It is an arithmetic number, because the mean of its divisors is an integer number (77608968255).

Almost surely, 23140233105104 is an apocalyptic number.

It is an amenable number.

3140233105104 is an abundant number, since it is smaller than the sum of its proper divisors (6172843085496).

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

3140233105104 is a wasteful number, since it uses less digits than its factorization.

3140233105104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18340853 (or 18340844 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 3140233105104 its reverse (4015013320413), we get a palindrome (7155246425517).

The spelling of 3140233105104 in words is "three trillion, one hundred forty billion, two hundred thirty-three million, one hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 41 48 58 72 82 87 116 123 144 164 174 232 246 261 328 348 369 464 492 522 656 696 738 984 1044 1189 1392 1476 1968 2088 2378 2952 3567 4176 4756 5904 7134 9512 10701 14268 19024 21402 28536 42804 57072 85608 171216 18340769 36681538 55022307 73363076 110044614 146726152 165066921 220089228 293452304 330133842 440178456 531882301 660267684 751971529 880356912 1063764602 1320535368 1503943058 1595646903 2127529204 2255914587 2641070736 3007886116 3191293806 4255058408 4511829174 4786940709 6015772232 6382587612 6767743761 8510116816 9023658348 9573881418 12031544464 12765175224 13535487522 18047316696 19147762836 21807174341 25530350448 27070975044 36094633392 38295525672 43614348682 54141950088 65421523023 76591051344 87228697364 108283900176 130843046046 174457394728 196264569069 261686092092 348914789456 392529138138 523372184184 785058276276 1046744368368 1570116552552 3140233105104