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3140022415140 = 22325131552786423
BaseRepresentation
bin101101101100010111111…
…010111010111100100100
3102010011221120010221222200
4231230113322322330210
5402421231214241030
610402301213454500
7442600453101462
oct55542772727444
912104846127880
103140022415140
11100074887a726
124286831a1430
1319a144c3c6a0
14abd994bb832
1556a2c3e1d60
hex2db17ebaf24

3140022415140 has 144 divisors (see below), whose sum is σ = 10258185869568. Its totient is φ = 772869871872.

The previous prime is 3140022415109. The next prime is 3140022415183. The reversal of 3140022415140 is 415142200413.

3140022415140 is a `hidden beast` number, since 3 + 1 + 400 + 2 + 241 + 5 + 14 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36289969 + ... + 36376391.

It is an arithmetic number, because the mean of its divisors is an integer number (71237401872).

Almost surely, 23140022415140 is an apocalyptic number.

3140022415140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3140022415140 is an abundant number, since it is smaller than the sum of its proper divisors (7118163454428).

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

3140022415140 is a wasteful number, since it uses less digits than its factorization.

3140022415140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101978 (or 101973 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 3140022415140 its reverse (415142200413), we get a palindrome (3555164615553).

The spelling of 3140022415140 in words is "three trillion, one hundred forty billion, twenty-two million, four hundred fifteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 15527 31054 46581 62108 77635 86423 93162 139743 155270 172846 186324 201851 232905 259269 279486 310540 345692 403702 432115 465810 518538 558972 605553 698715 777807 807404 864230 931620 1009255 1037076 1123499 1211106 1296345 1397430 1555614 1728460 1816659 2018510 2246998 2422212 2592690 2794860 3027765 3111228 3370497 3633318 3889035 4037020 4493996 5185380 5617495 6055530 6740994 7266636 7778070 9083295 10111491 11234990 12111060 13481988 15556140 16852485 18166590 20222982 22469980 33704970 36333180 40445964 50557455 67409940 101114910 202229820 1341889921 2683779842 4025669763 5367559684 6709449605 8051339526 12077009289 13418899210 16102679052 17444568973 20128348815 24154018578 26837798420 34889137946 40256697630 48308037156 52333706919 60385046445 69778275892 80513395260 87222844865 104667413838 120770092890 157001120757 174445689730 209334827676 241540185780 261668534595 314002241514 348891379460 523337069190 628004483028 785005603785 1046674138380 1570011207570 3140022415140