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2340012917088 = 2532711231793917
BaseRepresentation
bin100010000011010011101…
…000111000000101100000
322021200222112010200010100
4202003103220320011200
5301314321301321323
64550553113502400
7331026462420360
oct42032350700540
98250875120110
102340012917088
11822437318a00
12319615711a00
1313c87c018a82
1481385ba29a0
1540d08375943
hex220d3a38160

2340012917088 has 864 divisors, whose sum is σ = 8740372193280. Its totient is φ = 580595558400.

The previous prime is 2340012917051. The next prime is 2340012917159. The reversal of 2340012917088 is 8807192100432.

It is a happy number.

2340012917088 is a `hidden beast` number, since 2 + 3 + 400 + 12 + 91 + 70 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 597397306 + ... + 597401222.

It is an arithmetic number, because the mean of its divisors is an integer number (10116171520).

Almost surely, 22340012917088 is an apocalyptic number.

2340012917088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2340012917088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4370186096640).

2340012917088 is an abundant number, since it is smaller than the sum of its proper divisors (6400359276192).

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

2340012917088 is a wasteful number, since it uses less digits than its factorization.

2340012917088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4072 (or 4050 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 2340012917088 in words is "two trillion, three hundred forty billion, twelve million, nine hundred seventeen thousand, eighty-eight".