Search a number
-
+
1073401528320 = 215365111943
BaseRepresentation
bin11111001111010111011…
…01111000000000000000
310210121122012100102000000
433213223231320000000
5120041311242401240
62141040332000000
7140356614306612
oct17475355700000
93717565312000
101073401528320
113842551a75a0
12154048000000
137a2b5352834
1439d4ab06db2
151cdc57d2430
hexf9ebb78000

1073401528320 has 1792 divisors, whose sum is σ = 4538461276800. Its totient is φ = 240789749760.

The previous prime is 1073401528313. The next prime is 1073401528349. The reversal of 1073401528320 is 238251043701.

1073401528320 is a `hidden beast` number, since 1 + 0 + 7 + 340 + 15 + 283 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 24962826219 + ... + 24962826261.

Almost surely, 21073401528320 is an apocalyptic number.

1073401528320 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 1073401528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269230638400).

1073401528320 is an abundant number, since it is smaller than the sum of its proper divisors (3465059748480).

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

1073401528320 is an frugal number, since it uses more digits than its factorization.

1073401528320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 1073401528320 in words is "one trillion, seventy-three billion, four hundred one million, five hundred twenty-eight thousand, three hundred twenty".