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2023542145144 = 2313101445743223
BaseRepresentation
bin11101011100100100100…
…000101100000001111000
321011110010010112201212201
4131130210200230001320
5231123203242121034
64145334042515544
7266124155302522
oct35344440540170
97143103481781
102023542145144
117101a7872993
12288214205bb4
13118a85a43680
146dd23384a12
1537984bcd014
hex1d72482c078

2023542145144 has 64 divisors (see below), whose sum is σ = 4127475320640. Its totient is φ = 924466713600.

The previous prime is 2023542145099. The next prime is 2023542145217. The reversal of 2023542145144 is 4415412453202.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 46794717 + ... + 46837939.

It is an arithmetic number, because the mean of its divisors is an integer number (64491801885).

Almost surely, 22023542145144 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 2023542145144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063737660320).

2023542145144 is an abundant number, since it is smaller than the sum of its proper divisors (2103933175496).

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

2023542145144 is a wasteful number, since it uses less digits than its factorization.

2023542145144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47800 (or 47796 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 37.

Adding to 2023542145144 its reverse (4415412453202), we get a palindrome (6438954598346).

The spelling of 2023542145144 in words is "two trillion, twenty-three billion, five hundred forty-two million, one hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 101 104 202 404 808 1313 2626 4457 5252 8914 10504 17828 35656 43223 57941 86446 115882 172892 231764 345784 450157 463528 561899 900314 1123798 1800628 2247596 3601256 4365523 4495192 5852041 8731046 11704082 17462092 23408164 34924184 46816328 56751799 113503598 192644911 227007196 385289822 454014392 770579644 1541159288 2504383843 5008767686 10017535372 19457136011 20035070744 38914272022 77828544044 155657088088 252942768143 505885536286 1011771072572 2023542145144