Search a number
-
+
143538494400 = 263252719149503
BaseRepresentation
bin1000010110101110001…
…1111001101111000000
3111201111110000000112100
42011223203321233000
54322431323310100
6145535104030400
713241006033340
oct2055343715700
9451443000470
10143538494400
1155968813384
122399a902400
13106c69b8a72
146d3956ad20
153b016d4400
hex216b8f9bc0

143538494400 has 1008 divisors, whose sum is σ = 619085376000. Its totient is φ = 30812037120.

The previous prime is 143538494377. The next prime is 143538494401. The reversal of 143538494400 is 4494835341.

143538494400 is a `hidden beast` number, since 143 + 5 + 384 + 94 + 40 + 0 = 666.

143538494400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143538494401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 285364549 + ... + 285365051.

It is an arithmetic number, because the mean of its divisors is an integer number (614172000).

Almost surely, 2143538494400 is an apocalyptic number.

143538494400 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 143538494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309542688000).

143538494400 is an abundant number, since it is smaller than the sum of its proper divisors (475546881600).

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

143538494400 is a wasteful number, since it uses less digits than its factorization.

143538494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 143538494400 in words is "one hundred forty-three billion, five hundred thirty-eight million, four hundred ninety-four thousand, four hundred".