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2345414035040 = 25514658837719
BaseRepresentation
bin100010001000010101100…
…100100000011001100000
322022012220221021220001222
4202020111210200121200
5301411401443110130
64553245054314212
7331310355234056
oct42102544403140
98265827256058
102345414035040
1182475909484a
1231a6824b8968
1314022ccbaa5b
148173923a1d6
1541022611ce5
hex22215920660

2345414035040 has 24 divisors (see below), whose sum is σ = 5541040658160. Its totient is φ = 938165613952.

The previous prime is 2345414035033. The next prime is 2345414035057. The reversal of 2345414035040 is 405304145432.

It is a super-2 number, since 2×23454140350402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 7329418700 + ... + 7329419019.

It is an arithmetic number, because the mean of its divisors is an integer number (230876694090).

Almost surely, 22345414035040 is an apocalyptic number.

2345414035040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2345414035040 is an abundant number, since it is smaller than the sum of its proper divisors (3195626623120).

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

2345414035040 is a wasteful number, since it uses less digits than its factorization.

2345414035040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14658837734 (or 14658837726 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The spelling of 2345414035040 in words is "two trillion, three hundred forty-five billion, four hundred fourteen million, thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 14658837719 29317675438 58635350876 73294188595 117270701752 146588377190 234541403504 293176754380 469082807008 586353508760 1172707017520 2345414035040