Search a number
-
+
143940349132800 = 2163521131157547
BaseRepresentation
bin100000101110100110111001…
…011000010000000000000000
3200212122120012102022012221120
4200232212321120100000000
5122331304313334222200
61230045141123552240
742214230015220323
oct4056467130200000
9625576172265846
10143940349132800
1141955839628460
121418872b82b680
1362416941c04bc
142778a7029a7ba
15119934370a9a0
hex82e9b9610000

143940349132800 has 1632 divisors, whose sum is σ = 540377388109824. Its totient is φ = 33492566016000.

The previous prime is 143940349132799. The next prime is 143940349132813. The reversal of 143940349132800 is 8231943049341.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263145062127 + ... + 263145062673.

Almost surely, 2143940349132800 is an apocalyptic number.

143940349132800 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 143940349132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270188694054912).

143940349132800 is an abundant number, since it is smaller than the sum of its proper divisors (396437038977024).

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

143940349132800 is a wasteful number, since it uses less digits than its factorization.

143940349132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 143940349132800 in words is "one hundred forty-three trillion, nine hundred forty billion, three hundred forty-nine million, one hundred thirty-two thousand, eight hundred".