Search a number
-
+
260045501515440 = 243513133124988421
BaseRepresentation
bin111011001000001010001111…
…101111100100011010110000
31021002202002220010011001110020
4323020022033233210122300
5233041041141341443230
62321023130523203440
7105526444643046534
oct7310121757443260
91232662803131406
10260045501515440
1175949750262473
12251ba688376580
13b2142549142b4
1448303ab457bc4
15200e5a85e7810
hexec828fbe46b0

260045501515440 has 160 divisors (see below), whose sum is σ = 814748898661632. Its totient is φ = 68608205952000.

The previous prime is 260045501515411. The next prime is 260045501515463. The reversal of 260045501515440 is 44515105540062.

It is a happy number.

260045501515440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 260045501515392 and 260045501515401.

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, 2087571 + ... + 22900850.

Almost surely, 2260045501515440 is an apocalyptic number.

260045501515440 is a gapful number since it is divisible by the number (20) 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 260045501515440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407374449330816).

260045501515440 is an abundant number, since it is smaller than the sum of its proper divisors (554703397146192).

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

260045501515440 is a wasteful number, since it uses less digits than its factorization.

260045501515440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24988899 (or 24988893 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 42.

The spelling of 260045501515440 in words is "two hundred sixty trillion, forty-five billion, five hundred one million, five hundred fifteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 240 262 331 393 524 655 662 786 993 1048 1310 1324 1572 1655 1965 1986 2096 2620 2648 3144 3310 3930 3972 4965 5240 5296 6288 6620 7860 7944 9930 10480 13240 15720 15888 19860 26480 31440 39720 43361 79440 86722 130083 173444 216805 260166 346888 433610 520332 650415 693776 867220 1040664 1300830 1734440 2081328 2601660 3468880 5203320 10406640 24988421 49976842 74965263 99953684 124942105 149930526 199907368 249884210 299861052 374826315 399814736 499768420 599722104 749652630 999536840 1199444208 1499305260 1999073680 2998610520 3273483151 5997221040 6546966302 8271167351 9820449453 13093932604 16367415755 16542334702 19640898906 24813502053 26187865208 32734831510 33084669404 39281797812 41355836755 49102247265 49627004106 52375730416 65469663020 66169338808 78563595624 82711673510 98204494530 99254008212 124067510265 130939326040 132338677616 157127191248 165423347020 196408989060 198508016424 248135020530 261878652080 330846694040 392817978120 397016032848 496270041060 661693388080 785635956240 992540082120 1083522922981 1985080164240 2167045845962 3250568768943 4334091691924 5417614614905 6501137537886 8668183383848 10835229229810 13002275075772 16252843844715 17336366767696 21670458459620 26004550151544 32505687689430 43340916919240 52009100303088 65011375378860 86681833838480 130022750757720 260045501515440