Search a number
-
+
143396065472000 = 295311738093449
BaseRepresentation
bin100000100110101011111111…
…100010110110111000000000
3200210201112022100120110021212
4200212223333202312320000
5122243400120230101000
61224551124300105252
742130011115355105
oct4046537742667000
9623645270513255
10143396065472000
1141765a256a4190
12140bb150235228
1362022636a1a53
14275a5999d6aac
15118a0d9ed7c35
hex826aff8b6e00

143396065472000 has 640 divisors, whose sum is σ = 396020175408000. Its totient is φ = 51351257088000.

The previous prime is 143396065471979. The next prime is 143396065472017. The reversal of 143396065472000 is 274560693341.

143396065472000 is digitally balanced in base 3, 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 (640).

It is a super-2 number, since 2×1433960654720002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 143396065472000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41576126276 + ... + 41576129724.

It is an arithmetic number, because the mean of its divisors is an integer number (618781524075).

Almost surely, 2143396065472000 is an apocalyptic number.

143396065472000 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 143396065472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198010087704000).

143396065472000 is an abundant number, since it is smaller than the sum of its proper divisors (252624109936000).

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

143396065472000 is an equidigital number, since it uses as much as digits as its factorization.

143396065472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4375 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 50.

The spelling of 143396065472000 in words is "one hundred forty-three trillion, three hundred ninety-six billion, sixty-five million, four hundred seventy-two thousand".