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1313041488 = 243117433347
BaseRepresentation
bin100111001000011…
…0110110001010000
310101111201102022020
41032100312301100
510142114311423
6334143011440
744352445203
oct11620666120
93344642266
101313041488
116141a5560
12307899b80
1317c053035
14c655793a
157a4194e3
hex4e436c50

1313041488 has 80 divisors (see below), whose sum is σ = 3706477056. Its totient is φ = 397237120.

The previous prime is 1313041453. The next prime is 1313041501. The reversal of 1313041488 is 8841403131.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 390631 + ... + 393977.

Almost surely, 21313041488 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 1313041488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853238528).

1313041488 is an abundant number, since it is smaller than the sum of its proper divisors (2393435568).

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

1313041488 is a wasteful number, since it uses less digits than its factorization.

1313041488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112 (or 4106 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1313041488 is about 36235.9143392298. The cubic root of 1313041488 is about 1095.0303329726.

The spelling of 1313041488 in words is "one billion, three hundred thirteen million, forty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 743 1486 2229 2972 3347 4458 5944 6694 8173 8916 10041 11888 13388 16346 17832 20082 24519 26776 32692 35664 36817 40164 49038 53552 65384 73634 80328 98076 110451 130768 147268 160656 196152 220902 294536 392304 441804 589072 883608 1767216 2486821 4973642 7460463 9947284 14920926 19894568 27355031 29841852 39789136 54710062 59683704 82065093 109420124 119367408 164130186 218840248 328260372 437680496 656520744 1313041488