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13142235410540 = 22561791131712049
BaseRepresentation
bin1011111100111110101001…
…0001011111000001101100
31201112101101222112000210122
42333033222101133001230
53210310244231114130
643541243135024112
72524331562551525
oct277175221370154
951471358460718
1013142235410540
1142076552a9965
12158307806b038
137443cc6c9632
143361324ab84c
1517bcd676c2e5
hexbf3ea45f06c

13142235410540 has 96 divisors (see below), whose sum is σ = 28411077408000. Its totient is φ = 5104388689920.

The previous prime is 13142235410537. The next prime is 13142235410581. The reversal of 13142235410540 is 4501453224131.

It is a self number, because there is not a number n which added to its sum of digits gives 13142235410540.

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, 1090726436 + ... + 1090738484.

It is an arithmetic number, because the mean of its divisors is an integer number (295948723000).

Almost surely, 213142235410540 is an apocalyptic number.

13142235410540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13142235410540 is an abundant number, since it is smaller than the sum of its proper divisors (15268841997460).

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

13142235410540 is a wasteful number, since it uses less digits than its factorization.

13142235410540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23515 (or 23513 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 13142235410540 its reverse (4501453224131), we get a palindrome (17643688634671).

The spelling of 13142235410540 in words is "thirteen trillion, one hundred forty-two billion, two hundred thirty-five million, four hundred ten thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 61 79 122 158 244 305 316 395 610 790 1220 1580 4819 9638 11317 12049 19276 22634 24095 24098 45268 48190 48196 56585 60245 96380 113170 120490 226340 240980 690337 734989 894043 951871 1380674 1469978 1788086 1903742 2761348 2939956 3451685 3576172 3674945 3807484 4470215 4759355 6903370 7349890 8940430 9518710 13806740 14699780 17880860 19037420 54536623 58064131 109073246 116128262 136358533 218146492 232256524 272683115 272717066 290320655 545366230 545434132 580641310 681792665 1090732460 1161282620 1363585330 2727170660 8317870513 10772324107 16635741026 21544648214 33271482052 41589352565 43089296428 53861620535 83178705130 107723241070 166357410260 215446482140 657111770527 1314223541054 2628447082108 3285558852635 6571117705270 13142235410540