Search a number
-
+
441322153112456 = 237113535573643721
BaseRepresentation
bin110010001011000010101001…
…0001010101111001110001000
32010212120222121122112021221222
41210112011102022233032020
5430321110232144044311
64202340333121021212
7161646321236021330
oct14426052212571610
92125528548467858
10441322153112456
11118689746207160
12415b7234184808
1315c336676b03c5
147ada16b5080c0
153604c06a45adb
hex19161522af388

441322153112456 has 128 divisors (see below), whose sum is σ = 1036442439509760. Its totient is φ = 171148734873600.

The previous prime is 441322153112453. The next prime is 441322153112473. The reversal of 441322153112456 is 654211351223144.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (441322153112453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119296676 + ... + 122940396.

It is an arithmetic number, because the mean of its divisors is an integer number (8097206558670).

Almost surely, 2441322153112456 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 441322153112456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518221219754880).

441322153112456 is an abundant number, since it is smaller than the sum of its proper divisors (595120286397304).

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

441322153112456 is a wasteful number, since it uses less digits than its factorization.

441322153112456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644655 (or 3644651 counting only the distinct ones).

The product of its digits is 691200, while the sum is 44.

The spelling of 441322153112456 in words is "four hundred forty-one trillion, three hundred twenty-two billion, one hundred fifty-three million, one hundred twelve thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 353 557 616 706 1114 1412 2228 2471 2824 3883 3899 4456 4942 6127 7766 7798 9884 12254 15532 15596 19768 24508 27181 31064 31192 42889 49016 54362 85778 108724 171556 196621 217448 343112 393242 786484 1376347 1572968 2162831 2752694 3643721 4325662 5505388 7287442 8651324 11010776 14574884 15139817 17302648 25506047 29149768 30279634 40080931 51012094 60559268 80161862 102024188 121118536 160323724 204048376 280566517 320647448 561133034 1122266068 1286233513 2029552597 2244532136 2572467026 4059105194 5144934052 8118210388 9003634591 10289868104 14148568643 14206868179 16236420776 18007269182 22325078567 28297137286 28413736358 36014538364 44650157134 56594274572 56827472716 72029076728 89300314268 99039980501 113188549144 113654945432 156275549969 178600628536 198079961002 312551099938 396159922004 625102199876 716432066741 792319844008 1250204399752 1432864133482 2865728266964 5015024467187 5731456533928 7880752734151 10030048934374 15761505468302 20060097868748 31523010936604 40120195737496 55165269139057 63046021873208 110330538278114 220661076556228 441322153112456