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13240571456 = 267219012221
BaseRepresentation
bin11000101010011001…
…10001011001000000
31021011202110201110102
430111030301121000
5204104041241311
610025503221532
7646054000100
oct142514613100
937152421412
1013240571456
115684a59342
1226962a78a8
131330192988
148d86ad200
1552762243b
hex315331640

13240571456 has 84 divisors (see below), whose sum is σ = 30593780316. Its totient is φ = 5668992000.

The previous prime is 13240571429. The next prime is 13240571527. The reversal of 13240571456 is 65417504231.

It can be written as a sum of positive squares in 2 ways, for example, as 4599009856 + 8641561600 = 67816^2 + 92960^2 .

It is a super-3 number, since 3×132405714563 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5960426 + ... + 5962646.

Almost surely, 213240571456 is an apocalyptic number.

13240571456 is a gapful number since it is divisible by the number (16) 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 13240571456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15296890158).

13240571456 is an abundant number, since it is smaller than the sum of its proper divisors (17353208860).

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

13240571456 is a wasteful number, since it uses less digits than its factorization.

13240571456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148 (or 4131 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The spelling of 13240571456 in words is "thirteen billion, two hundred forty million, five hundred seventy-one thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 1901 2221 3136 3802 4442 7604 8884 13307 15208 15547 17768 26614 30416 31094 35536 53228 60832 62188 71072 93149 106456 108829 121664 124376 142144 186298 212912 217658 248752 372596 425824 435316 497504 745192 851648 870632 995008 1490384 1741264 2980768 3482528 4222121 5961536 6965056 8444242 16888484 29554847 33776968 59109694 67553936 118219388 135107872 206883929 236438776 270215744 413767858 472877552 827535716 945755104 1655071432 1891510208 3310142864 6620285728 13240571456