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2423201746140 = 223457243709921
BaseRepresentation
bin100011010000110010000…
…101000100110011011100
322120122201002121001020000
4203100302011010303130
5304200204121334030
65053111543054300
7340033124664600
oct43206205046334
98518632531200
102423201746140
1185474623849a
12331771441390
131476789aa886
14853d8259500
1543076787860
hex23432144cdc

2423201746140 has 360 divisors, whose sum is σ = 9048421598832. Its totient is φ = 540993116160.

The previous prime is 2423201746127. The next prime is 2423201746241. The reversal of 2423201746140 is 416471023242.

2423201746140 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 20 + 17 + 4 + 614 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2423201746095 and 2423201746104.

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 3058380 + ... + 3768300.

Almost surely, 22423201746140 is an apocalyptic number.

2423201746140 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 2423201746140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4524210799416).

2423201746140 is an abundant number, since it is smaller than the sum of its proper divisors (6625219852692).

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

2423201746140 is a wasteful number, since it uses less digits than its factorization.

2423201746140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709999 (or 709981 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 2423201746140 its reverse (416471023242), we get a palindrome (2839672769382).

The spelling of 2423201746140 in words is "two trillion, four hundred twenty-three billion, two hundred one million, seven hundred forty-six thousand, one hundred forty".