Search a number
-
+
143319108240 = 243357211219231
BaseRepresentation
bin1000010101111001111…
…1000000101010010000
3111200221011012001022000
42011132133000222100
54322004142430430
6145501225514000
713232403214500
oct2053637005220
9450834161260
10143319108240
115586599a300
1223939342900
1310690404879
146d1837da00
153adc2eae60
hex215e7c0a90

143319108240 has 2160 divisors, whose sum is σ = 687660986880. Its totient is φ = 27303091200.

The previous prime is 143319108203. The next prime is 143319108269. The reversal of 143319108240 is 42801913341.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 143319108195 and 143319108204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 4623197025 + ... + 4623197055.

It is an arithmetic number, because the mean of its divisors is an integer number (318361568).

Almost surely, 2143319108240 is an apocalyptic number.

143319108240 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 143319108240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343830493440).

143319108240 is an abundant number, since it is smaller than the sum of its proper divisors (544341878640).

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

143319108240 is a wasteful number, since it uses less digits than its factorization.

143319108240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 143319108240 in words is "one hundred forty-three billion, three hundred nineteen million, one hundred eight thousand, two hundred forty".