Search a number
-
+
11345135254304 = 251721539686497
BaseRepresentation
bin1010010100010111111011…
…0000011011101100100000
31111011120202222112012010212
42211011332300123230200
52441334314111114204
640043514433513252
72250442012350455
oct245057660335440
944146688465125
1011345135254304
1136844990a1875
12133291aa12828
13643ac319c017
142b3170cb382c
1514a1a65c1c6e
hexa517ec1bb20

11345135254304 has 48 divisors (see below), whose sum is σ = 23660588728728. Its totient is φ = 5336406884352.

The previous prime is 11345135254289. The next prime is 11345135254331. The reversal of 11345135254304 is 40345253154311.

It can be written as a sum of positive squares in 4 ways, for example, as 9588312250000 + 1756823004304 = 3096500^2 + 1325452^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3672017 + ... + 6014480.

Almost surely, 211345135254304 is an apocalyptic number.

It is an amenable number.

11345135254304 is an abundant number, since it is smaller than the sum of its proper divisors (12315453474424).

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

11345135254304 is a wasteful number, since it uses less digits than its factorization.

11345135254304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9688677 (or 9688669 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 41.

The spelling of 11345135254304 in words is "eleven trillion, three hundred forty-five billion, one hundred thirty-five million, two hundred fifty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 2153 4306 8612 17224 34448 36601 68896 73202 146404 292808 585616 1171232 9686497 19372994 38745988 77491976 154983952 164670449 309967904 329340898 658681796 1317363592 2634727184 5269454368 20855028041 41710056082 83420112164 166840224328 333680448656 354535476697 667360897312 709070953394 1418141906788 2836283813576 5672567627152 11345135254304