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114242201310040 = 235139197719145063
BaseRepresentation
bin11001111110011100010101…
…110100111101001101011000
3112222111110002102201211201121
4121332130111310331031120
5104433221012013410130
61042550050500255024
733030504150634216
oct3176342564751530
9488443072654647
10114242201310040
11334459333958a1
1210990aa20a1474
134b98cbb53b31b
14202d4d002bcb6
15d31a7da03d7a
hex67e715d3d358

114242201310040 has 128 divisors (see below), whose sum is σ = 260572080384000. Its totient is φ = 45074741580288.

The previous prime is 114242201309969. The next prime is 114242201310073. The reversal of 114242201310040 is 40013102242411.

It is a junction number, because it is equal to n+sod(n) for n = 114242201309987 and 114242201310014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 787462549 + ... + 787607611.

It is an arithmetic number, because the mean of its divisors is an integer number (2035719378000).

Almost surely, 2114242201310040 is an apocalyptic number.

114242201310040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114242201310040 is an abundant number, since it is smaller than the sum of its proper divisors (146329879073960).

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

114242201310040 is a wasteful number, since it uses less digits than its factorization.

114242201310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146129 (or 146125 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 114242201310040 its reverse (40013102242411), we get a palindrome (154255303552451).

The spelling of 114242201310040 in words is "one hundred fourteen trillion, two hundred forty-two billion, two hundred one million, three hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 139 197 278 394 556 695 719 788 985 1112 1390 1438 1576 1970 2780 2876 3595 3940 5560 5752 7190 7880 14380 27383 28760 54766 99941 109532 136915 141643 145063 199882 219064 273830 283286 290126 399764 499705 547660 566572 580252 708215 725315 799528 999410 1095320 1133144 1160504 1416430 1450630 1998820 2832860 2901260 3997640 5665720 5802520 19688377 20163757 28577411 39376754 40327514 57154822 78753508 80655028 98441885 100818785 104300297 114309644 142887055 157507016 161310056 196883770 201637570 208600594 228619288 285774110 393767540 403275140 417201188 521501485 571548220 787535080 806550280 834402376 1043002970 1143096440 2086005940 3972260129 4172011880 7944520258 14497741283 15889040516 19861300645 20547158509 28995482566 31778081032 39722601290 41094317018 57990965132 72488706415 79445202580 82188634036 102735792545 115981930264 144977412830 158890405160 164377268072 205471585090 289954825660 410943170180 579909651320 821886340360 2856055032751 5712110065502 11424220131004 14280275163755 22848440262008 28560550327510 57121100655020 114242201310040