Search a number
-
+
399142048000 = 2853174767233
BaseRepresentation
bin1011100111011101011…
…10000101000100000000
31102011020220011220002211
411303232232011010000
523014420331014000
6503210251151504
740560053300143
oct5635656050400
91364226156084
10399142048000
1114430330a363
1265433a45594
132b83c977737
141546627005a
15a5b14257ba
hex5ceeb85100

399142048000 has 576 divisors, whose sum is σ = 1095933017088. Its totient is φ = 144251289600.

The previous prime is 399142047943. The next prime is 399142048061. The reversal of 399142048000 is 840241993.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 63 ways as a sum of consecutive naturals, for example, 1713055884 + ... + 1713056116.

It is an arithmetic number, because the mean of its divisors is an integer number (1902661488).

Almost surely, 2399142048000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399142048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547966508544).

399142048000 is an abundant number, since it is smaller than the sum of its proper divisors (696790969088).

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

399142048000 is a wasteful number, since it uses less digits than its factorization.

399142048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

Adding to 399142048000 its reverse (840241993), we get a palindrome (399982289993).

The spelling of 399142048000 in words is "three hundred ninety-nine billion, one hundred forty-two million, forty-eight thousand".