Search a number
-
+
1345615431336 = 233311678452783
BaseRepresentation
bin10011100101001100111…
…011100000011010101000
311202122021020211110101000
4103211030323200122220
5134021310022300321
62510100040355000
7166134414306201
oct23451473403250
94678236743330
101345615431336
11479743915980
12198957a75a60
1399b77677c27
14491b185a5a8
15250088cd826
hex1394cee06a8

1345615431336 has 128 divisors (see below), whose sum is σ = 4138483046400. Its totient is φ = 401676200640.

The previous prime is 1345615431299. The next prime is 1345615431341. The reversal of 1345615431336 is 6331345165431.

It is a happy number.

1345615431336 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 61 + 543 + 13 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1345615431291 and 1345615431300.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4067200 + ... + 4385583.

It is an arithmetic number, because the mean of its divisors is an integer number (32331898800).

Almost surely, 21345615431336 is an apocalyptic number.

It is an amenable number.

1345615431336 is an abundant number, since it is smaller than the sum of its proper divisors (2792867615064).

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

1345615431336 is a wasteful number, since it uses less digits than its factorization.

1345615431336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8452876 (or 8452866 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The spelling of 1345615431336 in words is "one trillion, three hundred forty-five billion, six hundred fifteen million, four hundred thirty-one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 67 72 88 99 108 132 134 198 201 216 264 268 297 396 402 536 594 603 737 792 804 1188 1206 1474 1608 1809 2211 2376 2412 2948 3618 4422 4824 5896 6633 7236 8844 13266 14472 17688 19899 26532 39798 53064 79596 159192 8452783 16905566 25358349 33811132 50716698 67622264 76075047 92980613 101433396 152150094 185961226 202866792 228225141 278941839 304300188 371922452 456450282 557883678 566336461 608600376 743844904 836825517 912900564 1115767356 1132672922 1673651034 1699009383 1825801128 2231534712 2265345844 2510476551 3347302068 3398018766 4530691688 5020953102 5097028149 6229701071 6694604136 6796037532 10041906204 10194056298 12459402142 13592075064 15291084447 18689103213 20083812408 20388112596 24918804284 30582168894 37378206426 40776225192 49837608568 56067309639 61164337788 74756412852 112134619278 122328675576 149512825704 168201928917 224269238556 336403857834 448538477112 672807715668 1345615431336