Search a number
-
+
142521025200000 = 27355373209933
BaseRepresentation
bin100000011001111101000011…
…000101000111111110000000
3200200121212200021220221001220
4200121331003011013332000
5122140031024422400000
61223041131034155040
742006542602645626
oct4031750305077600
9620555607827056
10142521025200000
1141458911234477
1213b99642b82a80
13616a8a0cbb885
14272a0a94b3516
151172473d761a0
hex819f43147f80

142521025200000 has 384 divisors, whose sum is σ = 485972965427040. Its totient is φ = 36978416640000.

The previous prime is 142521025199977. The next prime is 142521025200013. The reversal of 142521025200000 is 2520125241.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42795034 + ... + 46004966.

Almost surely, 2142521025200000 is an apocalyptic number.

142521025200000 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 142521025200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242986482713520).

142521025200000 is an abundant number, since it is smaller than the sum of its proper divisors (343451940227040).

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

142521025200000 is an frugal number, since it uses more digits than its factorization.

142521025200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210012 (or 3209980 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 142521025200000 its reverse (2520125241), we get a palindrome (142523545325241).

The spelling of 142521025200000 in words is "one hundred forty-two trillion, five hundred twenty-one billion, twenty-five million, two hundred thousand".