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1311413240040 = 233514401758867
BaseRepresentation
bin10011000101010110010…
…100100000000011101000
311122100222122101010020020
4103011112110200003220
5132441233242140130
62442242133000440
7163514020421601
oct23052624400350
94570878333206
101311413240040
11466192649382
121921b1783120
139688681a907
14476892a8da8
15241a5de0e10
hex131565200e8

1311413240040 has 64 divisors (see below), whose sum is σ = 3934518096960. Its totient is φ = 349685452800.

The previous prime is 1311413240029. The next prime is 1311413240087. The reversal of 1311413240040 is 400423141131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1348687 + ... + 2107553.

It is an arithmetic number, because the mean of its divisors is an integer number (61476845265).

Almost surely, 21311413240040 is an apocalyptic number.

1311413240040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311413240040 is an abundant number, since it is smaller than the sum of its proper divisors (2623104856920).

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

1311413240040 is a wasteful number, since it uses less digits than its factorization.

1311413240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773282 (or 773278 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1311413240040 its reverse (400423141131), we get a palindrome (1711836381171).

The spelling of 1311413240040 in words is "one trillion, three hundred eleven billion, four hundred thirteen million, two hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 14401 28802 43203 57604 72005 86406 115208 144010 172812 216015 288020 345624 432030 576040 758867 864060 1517734 1728120 2276601 3035468 3794335 4553202 6070936 7588670 9106404 11383005 15177340 18212808 22766010 30354680 45532020 91064040 10928443667 21856887334 32785331001 43713774668 54642218335 65570662002 87427549336 109284436670 131141324004 163926655005 218568873340 262282648008 327853310010 437137746680 655706620020 1311413240040