Search a number
-
+
2023343400320 = 27511299910577
BaseRepresentation
bin11101011100011000101…
…010100010010110000000
321011102121021120110020022
4131130120222202112000
5231122301402302240
64145302223033012
7266116223063534
oct35343052422600
97142537513208
102023343400320
11710105667a70
1228817973b768
13118a53808798
146dd04c0bbc4
15379725209b5
hex1d718aa2580

2023343400320 has 128 divisors (see below), whose sum is σ = 5458746362400. Its totient is φ = 710390087680.

The previous prime is 2023343400317. The next prime is 2023343400359. The reversal of 2023343400320 is 230043433202.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×20233434003202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2023343400320.

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, 4751129 + ... + 5159448.

Almost surely, 22023343400320 is an apocalyptic number.

2023343400320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023343400320 is an abundant number, since it is smaller than the sum of its proper divisors (3435402962080).

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

2023343400320 is a wasteful number, since it uses less digits than its factorization.

2023343400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9910636 (or 9910624 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 26.

Adding to 2023343400320 its reverse (230043433202), we get a palindrome (2253386833522).

The spelling of 2023343400320 in words is "two trillion, twenty-three billion, three hundred forty-three million, four hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 64 80 88 110 116 128 145 160 176 220 232 290 319 320 352 440 464 580 638 640 704 880 928 1160 1276 1408 1595 1760 1856 2320 2552 3190 3520 3712 4640 5104 6380 7040 9280 10208 12760 18560 20416 25520 40832 51040 102080 204160 9910577 19821154 39642308 49552885 79284616 99105770 109016347 158569232 198211540 218032694 287406733 317138464 396423080 436065388 545081735 574813466 634276928 792846160 872130776 1090163470 1149626932 1268553856 1437033665 1585692320 1744261552 2180326940 2299253864 2874067330 3161474063 3171384640 3488523104 4360653880 4598507728 5748134660 6322948126 6342769280 6977046208 8721307760 9197015456 11496269320 12645896252 13954092416 15807370315 17442615520 18394030912 22992538640 25291792504 31614740630 34885231040 36788061824 45985077280 50583585008 63229481260 69770462080 91970154560 101167170016 126458962520 183940309120 202334340032 252917925040 404668680064 505835850080 1011671700160 2023343400320