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3011311313040 = 243562597200443
BaseRepresentation
bin101011110100100000001…
…001000010000010010000
3101122212201110111111220010
4223310200021002002100
5343314131144004130
610223213300114520
7430363046555112
oct53644011020220
911585643444803
103011311313040
11a610a9805678
12407742095a40
1318ac720b6744
14a5a692833b2
15534e77c90b0
hex2bd20242090

3011311313040 has 80 divisors (see below), whose sum is σ = 9335260772928. Its totient is φ = 802999515648.

The previous prime is 3011311313039. The next prime is 3011311313099. The reversal of 3011311313040 is 403131131103.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3011311312998 and 3011311313016.

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, 14923059 + ... + 15123501.

Almost surely, 23011311313040 is an apocalyptic number.

3011311313040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3011311313040 is an abundant number, since it is smaller than the sum of its proper divisors (6323949459888).

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

3011311313040 is a wasteful number, since it uses less digits than its factorization.

3011311313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263056 (or 263050 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 3011311313040 its reverse (403131131103), we get a palindrome (3414442444143).

The spelling of 3011311313040 in words is "three trillion, eleven billion, three hundred eleven million, three hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 62597 125194 187791 200443 250388 312985 375582 400886 500776 601329 625970 751164 801772 938955 1001552 1002215 1202658 1251940 1502328 1603544 1877910 2004430 2405316 2503880 3004656 3006645 3207088 3755820 4008860 4810632 5007760 6013290 7511640 8017720 9621264 12026580 15023280 16035440 24053160 48106320 12547130471 25094260942 37641391413 50188521884 62735652355 75282782826 100377043768 125471304710 150565565652 188206957065 200754087536 250942609420 301131131304 376413914130 501885218840 602262262608 752827828260 1003770437680 1505655656520 3011311313040