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1852142423040 = 21036572131941
BaseRepresentation
bin11010111100111100010…
…010101000110000000000
320120001200222201201000000
4122330330102220300000
5220321141430014130
63534510144000000
7250545546560100
oct32747422506000
96501628651000
101852142423040
11654542126898
1225ab5a900000
1310586bb07470
146590386d200
15332a2545260
hex1af3c4a8c00

1852142423040 has 3696 divisors, whose sum is σ = 8998527172320. Its totient is φ = 361184624640.

The previous prime is 1852142422973. The next prime is 1852142423069. The reversal of 1852142423040 is 403242412581.

1852142423040 is a `hidden beast` number, since 1 + 8 + 52 + 142 + 423 + 0 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 1852142422986 and 1852142423004.

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 335 ways as a sum of consecutive naturals, for example, 45174205420 + ... + 45174205460.

Almost surely, 21852142423040 is an apocalyptic number.

1852142423040 is a gapful number since it is divisible by the number (10) 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 1852142423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499263586160).

1852142423040 is an abundant number, since it is smaller than the sum of its proper divisors (7146384749280).

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

1852142423040 is a wasteful number, since it uses less digits than its factorization.

1852142423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 1852142423040 in words is "one trillion, eight hundred fifty-two billion, one hundred forty-two million, four hundred twenty-three thousand, forty".