Search a number
-
+
405010150231350 = 235231157655384659
BaseRepresentation
bin101110000010110101100011…
…0001000101000110100110110
31222010000120222201211102100110
41130011223012020220310312
5411041141241424400400
63553215032222123450
7151211006040141636
oct13405530610506466
91863016881742313
10405010150231350
11108059927238204
123951181ba20586
13144cb3a747c771
14720284b09c6c6
1531c539b9d5e50
hex1705ac6228d36

405010150231350 has 192 divisors, whose sum is σ = 1043601528084480. Its totient is φ = 103835949235200.

The previous prime is 405010150231321. The next prime is 405010150231367. The reversal of 405010150231350 is 53132051010504.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 4783975321 + ... + 4784059979.

It is an arithmetic number, because the mean of its divisors is an integer number (5435424625440).

Almost surely, 2405010150231350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405010150231350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521800764042240).

405010150231350 is an abundant number, since it is smaller than the sum of its proper divisors (638591377853130).

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

405010150231350 is a wasteful number, since it uses less digits than its factorization.

405010150231350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91415 (or 91410 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 405010150231350 in words is "four hundred five trillion, ten billion, one hundred fifty million, two hundred thirty-one thousand, three hundred fifty".