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2340452000000 = 2856585113
BaseRepresentation
bin100010000011101101110…
…011110110000100000000
322021202010010100101122102
4202003231303312010000
5301321221203000000
64551104440525532
7331043403520442
oct42035563660400
98252103311572
102340452000000
11822642158444
123197187808a8
1313c91bc9264a
14813c821c492
1540d31ba93d5
hex220edcf6100

2340452000000 has 126 divisors (see below), whose sum is σ = 5839637243874. Its totient is φ = 936179200000.

The previous prime is 2340451999999. The next prime is 2340452000011. The reversal of 2340452000000 is 2540432.

It can be written as a sum of positive squares in 7 ways, for example, as 2338061181184 + 2390818816 = 1529072^2 + 48896^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 13 ways as a sum of consecutive naturals, for example, 3707444 + ... + 4292556.

Almost surely, 22340452000000 is an apocalyptic number.

2340452000000 is a gapful number since it is divisible by the number (20) 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 2340452000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919818621937).

2340452000000 is an abundant number, since it is smaller than the sum of its proper divisors (3499185243874).

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

2340452000000 is an frugal number, since it uses more digits than its factorization.

2340452000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585159 (or 585120 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 2340452000000 its reverse (2540432), we get a palindrome (2340454540432).

The spelling of 2340452000000 in words is "two trillion, three hundred forty billion, four hundred fifty-two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 50000 62500 80000 100000 125000 160000 200000 250000 400000 500000 585113 800000 1000000 1170226 2000000 2340452 2925565 4000000 4680904 5851130 9361808 11702260 14627825 18723616 23404520 29255650 37447232 46809040 58511300 73139125 74894464 93618080 117022600 146278250 149788928 187236160 234045200 292556500 365695625 374472320 468090400 585113000 731391250 748944640 936180800 1170226000 1462782500 1828478125 1872361600 2340452000 2925565000 3656956250 3744723200 4680904000 5851130000 7313912500 9142390625 9361808000 11702260000 14627825000 18284781250 18723616000 23404520000 29255650000 36569562500 46809040000 58511300000 73139125000 93618080000 117022600000 146278250000 234045200000 292556500000 468090400000 585113000000 1170226000000 2340452000000