Search a number
-
+
241210032320 = 26541179271379
BaseRepresentation
bin1110000010100100111…
…1010000000011000000
3212001121100020020021202
43200221033100003000
512422444232013240
6302451012040332
723266260305555
oct3405117200300
9761540206252
10241210032320
1193329858454
123a8b89030a8
1319990c9939a
14b963270a2c
15641b2c9315
hex38293d00c0

241210032320 has 224 divisors, whose sum is σ = 595428019200. Its totient is φ = 93013401600.

The previous prime is 241210032313. The next prime is 241210032341. The reversal of 241210032320 is 23230012142.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 241210032292 and 241210032301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 636437891 + ... + 636438269.

It is an arithmetic number, because the mean of its divisors is an integer number (2658160800).

Almost surely, 2241210032320 is an apocalyptic number.

241210032320 is a gapful number since it is divisible by the number (20) 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 241210032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297714009600).

241210032320 is an abundant number, since it is smaller than the sum of its proper divisors (354217986880).

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

241210032320 is a wasteful number, since it uses less digits than its factorization.

241210032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 241210032320 its reverse (23230012142), we get a palindrome (264440044462).

The spelling of 241210032320 in words is "two hundred forty-one billion, two hundred ten million, thirty-two thousand, three hundred twenty".