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2813086721040 = 243511721194671
BaseRepresentation
bin101000111011111001000…
…010001110010000010000
3100221221001211221220022120
4220323321002032100100
5332042200200033130
65552151511134240
7410144624412531
oct50737102162020
910857054856276
102813086721040
11995029131812
12395241074380
1317537185705b
149a222cb6688
154d295151910
hex28ef908e410

2813086721040 has 40 divisors (see below), whose sum is σ = 8720568835968. Its totient is φ = 750156458880.

The previous prime is 2813086721023. The next prime is 2813086721059. The reversal of 2813086721040 is 401276803182.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×28130867210404 (a number of 51 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2813086720983 and 2813086721001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5860597096 + ... + 5860597575.

Almost surely, 22813086721040 is an apocalyptic number.

2813086721040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2813086721040 is an abundant number, since it is smaller than the sum of its proper divisors (5907482114928).

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

2813086721040 is a wasteful number, since it uses less digits than its factorization.

2813086721040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11721194687 (or 11721194681 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 2813086721040 in words is "two trillion, eight hundred thirteen billion, eighty-six million, seven hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 11721194671 23442389342 35163584013 46884778684 58605973355 70327168026 93769557368 117211946710 140654336052 175817920065 187539114736 234423893420 281308672104 351635840130 468847786840 562617344208 703271680260 937695573680 1406543360520 2813086721040