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1311414544 = 2411171632689
BaseRepresentation
bin100111000101010…
…1001100100010000
310101101122202120001
41032022221210100
510141210231134
6334044055344
744332561006
oct11612514420
93341582501
101311414544
11613294180
12307234554
1317b90364b
14c6252a76
157a1e7414
hex4e2a9910

1311414544 has 80 divisors (see below), whose sum is σ = 2954007360. Its totient is φ = 557383680.

The previous prime is 1311414499. The next prime is 1311414547. The reversal of 1311414544 is 4454141131.

It is not an unprimeable number, because it can be changed into a prime (1311414547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486352 + ... + 489040.

It is an arithmetic number, because the mean of its divisors is an integer number (36925092).

Almost surely, 21311414544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311414544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477003680).

1311414544 is an abundant number, since it is smaller than the sum of its proper divisors (1642592816).

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

1311414544 is a wasteful number, since it uses less digits than its factorization.

1311414544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2882 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 1311414544 is about 36213.4580508407. The cubic root of 1311414544 is about 1094.5778747237.

Adding to 1311414544 its reverse (4454141131), we get a palindrome (5765555675).

The spelling of 1311414544 in words is "one billion, three hundred eleven million, four hundred fourteen thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 163 176 187 272 326 374 652 748 1304 1496 1793 2608 2689 2771 2992 3586 5378 5542 7172 10756 11084 14344 21512 22168 28688 29579 30481 43024 44336 45713 59158 60962 91426 118316 121924 182852 236632 243848 365704 438307 473264 487696 502843 731408 876614 1005686 1753228 2011372 3506456 4022744 4821377 7012912 7451219 8045488 9642754 14902438 19285508 29804876 38571016 59609752 77142032 81963409 119219504 163926818 327853636 655707272 1311414544