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401730585428760 = 233577122929414521
BaseRepresentation
bin101101101010111110011000…
…0110101110000001100011000
31221200102001212020001201000120
41123111330300311300030120
5410123423214332210020
63542224252210433240
7150422035260234210
oct13325746065601430
91850361766051016
10401730585428760
11107004a9141a535
12390820b4292820
1314321054711a63
14712bc15073240
153169e03b66740
hex16d5f30d70318

401730585428760 has 256 divisors, whose sum is σ = 1402860914841600. Its totient is φ = 90135501926400.

The previous prime is 401730585428747. The next prime is 401730585428917. The reversal of 401730585428760 is 67824585037104.

It is a super-2 number, since 2×4017305854287602 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 401730585428694 and 401730585428703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1049701 + ... + 28364820.

It is an arithmetic number, because the mean of its divisors is an integer number (5479925448600).

Almost surely, 2401730585428760 is an apocalyptic number.

401730585428760 is a gapful number since it is divisible by the number (40) 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 401730585428760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701430457420800).

401730585428760 is an abundant number, since it is smaller than the sum of its proper divisors (1001130329412840).

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

401730585428760 is a wasteful number, since it uses less digits than its factorization.

401730585428760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29414842 (or 29414838 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 60.

The spelling of 401730585428760 in words is "four hundred one trillion, seven hundred thirty billion, five hundred eighty-five million, four hundred twenty-eight thousand, seven hundred sixty".