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15401241255140 = 22513229197797581
BaseRepresentation
bin1110000000011110000110…
…0000111001110011100100
32000112100021222120001011222
43200013201200321303210
54004313220230131030
652431122122115512
73146463054452216
oct340074140716344
960470258501158
1015401241255140
1149a86a21a7274
121888a4464bb98
1387943ba68200
143b35d18665b6
151ba94cee73e5
hexe01e1839ce4

15401241255140 has 144 divisors (see below), whose sum is σ = 36413478596880. Its totient is φ = 5462644561920.

The previous prime is 15401241255139. The next prime is 15401241255149. The reversal of 15401241255140 is 4155214210451.

It can be written as a sum of positive squares in 24 ways, for example, as 13868295168256 + 1532946086884 = 3724016^2 + 1238122^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 15401241255140.

It is not an unprimeable number, because it can be changed into a prime (15401241255149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18911150 + ... + 19708730.

It is an arithmetic number, because the mean of its divisors is an integer number (252871379145).

Almost surely, 215401241255140 is an apocalyptic number.

15401241255140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15401241255140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18206739298440).

15401241255140 is an abundant number, since it is smaller than the sum of its proper divisors (21012237341740).

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

15401241255140 is a wasteful number, since it uses less digits than its factorization.

15401241255140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797842 (or 797827 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 35.

Adding to 15401241255140 its reverse (4155214210451), we get a palindrome (19556455465591).

The spelling of 15401241255140 in words is "fifteen trillion, four hundred one billion, two hundred forty-one million, two hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 169 197 260 290 338 377 394 580 676 754 788 845 985 1508 1690 1885 1970 2561 3380 3770 3940 4901 5122 5713 7540 9802 10244 11426 12805 19604 22852 24505 25610 28565 33293 49010 51220 57130 66586 74269 98020 114260 133172 148538 166465 297076 332930 371345 665860 742690 797581 965497 1485380 1595162 1930994 3190324 3861988 3987905 4827485 7975810 9654970 10368553 15951620 19309940 20737106 23129849 41474212 46259698 51842765 92519396 103685530 115649245 134791189 157123457 207371060 231298490 269582378 300688037 314246914 462596980 539164756 601376074 628493828 673955945 785617285 1202752148 1347911890 1503440185 1571234570 2042604941 2695823780 3006880370 3142469140 3908944481 4085209882 4556580253 6013760740 7817888962 8170419764 9113160506 10213024705 15635777924 18226321012 19544722405 20426049410 22782901265 26553864233 39089444810 40852098820 45565802530 53107728466 59235543289 78178889620 91131605060 106215456932 118471086578 132769321165 236942173156 265538642330 296177716445 531077284660 592355432890 770062062757 1184710865780 1540124125514 3080248251028 3850310313785 7700620627570 15401241255140