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2423120024 = 2313174572999
BaseRepresentation
bin1001000001101101…
…1110000010011000
320020212112020210002
42100123132002120
514430304320044
61040235512132
7114022115603
oct22033360230
96225466702
102423120024
111033873a36
125775b8648
132c8022240
1418db5b33a
15e2ae174e
hex906de098

2423120024 has 64 divisors (see below), whose sum is σ = 5193720000. Its totient is φ = 1049923584.

The previous prime is 2423120023. The next prime is 2423120039. The reversal of 2423120024 is 4200213242.

It is a junction number, because it is equal to n+sod(n) for n = 2423119978 and 2423120005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2423120023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 806477 + ... + 809475.

It is an arithmetic number, because the mean of its divisors is an integer number (81151875).

Almost surely, 22423120024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2423120024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596860000).

2423120024 is an abundant number, since it is smaller than the sum of its proper divisors (2770599976).

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

2423120024 is a wasteful number, since it uses less digits than its factorization.

2423120024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492 (or 3488 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2423120024 is about 49225.1970437905. The cubic root of 2423120024 is about 1343.1514198198.

Adding to 2423120024 its reverse (4200213242), we get a palindrome (6623333266).

The spelling of 2423120024 in words is "two billion, four hundred twenty-three million, one hundred twenty thousand, twenty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 457 884 914 1768 1828 2999 3656 5941 5998 7769 11882 11996 15538 23764 23992 31076 38987 47528 50983 62152 77974 100997 101966 155948 201994 203932 311896 403988 407864 662779 807976 1325558 1370543 2651116 2741086 5302232 5482172 10964344 17817059 23299231 35634118 46598462 71268236 93196924 142536472 186393848 302890003 605780006 1211560012 2423120024