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2023432144 = 24241571919
BaseRepresentation
bin111100010011011…
…0001111111010000
312020000110000002021
41320212301333100
513120444312034
6532441101224
7101066614036
oct17046617720
95200400067
102023432144
119491a1578
12485787814
1326328ca36
14152a38556
15bc9906b4
hex789b1fd0

2023432144 has 40 divisors (see below), whose sum is σ = 3947852480. Its totient is φ = 1004659200.

The previous prime is 2023432141. The next prime is 2023432223. The reversal of 2023432144 is 4412343202.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023432141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2201317 + ... + 2202235.

It is an arithmetic number, because the mean of its divisors is an integer number (98696312).

Almost surely, 22023432144 is an apocalyptic number.

It is an amenable number.

2023432144 is a deficient number, since it is larger than the sum of its proper divisors (1924420336).

2023432144 is a wasteful number, since it uses less digits than its factorization.

2023432144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 2023432144 is about 44982.5760044931. The cubic root of 2023432144 is about 1264.8223998301.

Adding to 2023432144 its reverse (4412343202), we get a palindrome (6435775346).

The spelling of 2023432144 in words is "two billion, twenty-three million, four hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 241 482 571 919 964 1142 1838 1928 2284 3676 3856 4568 7352 9136 14704 137611 221479 275222 442958 524749 550444 885916 1049498 1100888 1771832 2098996 2201776 3543664 4197992 8395984 126464509 252929018 505858036 1011716072 2023432144