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142043480400 = 24352718771901
BaseRepresentation
bin1000010001001001110…
…0111000000101010000
3111120122020212102212110
42010102130320011100
54311401112333100
6145130500425320
713155653443053
oct2042234700520
9446566772773
10142043480400
1155270929218
12236420a8240
13105190510b3
146c36ba4a9a
153a65322250
hex2112738150

142043480400 has 240 divisors, whose sum is σ = 462190382208. Its totient is φ = 37282560000.

The previous prime is 142043480389. The next prime is 142043480443. The reversal of 142043480400 is 4084340241.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 74719450 + ... + 74721350.

Almost surely, 2142043480400 is an apocalyptic number.

142043480400 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 142043480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231095191104).

142043480400 is an abundant number, since it is smaller than the sum of its proper divisors (320146901808).

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

142043480400 is a wasteful number, since it uses less digits than its factorization.

142043480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 142043480400 in words is "one hundred forty-two billion, forty-three million, four hundred eighty thousand, four hundred".