Search a number
-
+
433053114412220 = 225316072017570499
BaseRepresentation
bin110001001110111000000100…
…1000011011010110010111100
32002210022110210010100212002122
41202131300021003122302330
5423230120234242142340
64133005504311542112
7160134024606543461
oct14235601103326274
92083273703325078
10433053114412220
11115a90881461475
12406a071798a938
131578396c55c883
1478d1c4dac7668
15350ea8a634db5
hex189dc090dacbc

433053114412220 has 96 divisors (see below), whose sum is σ = 940761765888000. Its totient is φ = 167274029905920.

The previous prime is 433053114412199. The next prime is 433053114412223. The reversal of 433053114412220 is 22214411350334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433053114412223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 758792531 + ... + 759363029.

It is an arithmetic number, because the mean of its divisors is an integer number (9799601728000).

Almost surely, 2433053114412220 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 433053114412220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470380882944000).

433053114412220 is an abundant number, since it is smaller than the sum of its proper divisors (507708651475780).

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

433053114412220 is a wasteful number, since it uses less digits than its factorization.

433053114412220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573163 (or 573161 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 433053114412220 its reverse (22214411350334), we get a palindrome (455267525762554).

The spelling of 433053114412220 in words is "four hundred thirty-three trillion, fifty-three billion, one hundred fourteen million, four hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 607 620 1214 2017 2428 3035 4034 6070 8068 10085 12140 18817 20170 37634 40340 62527 75268 94085 125054 188170 250108 312635 376340 570499 625270 1140998 1224319 1250540 2281996 2448638 2852495 4897276 5704990 6121595 11409980 12243190 17685469 24486380 35370938 37953889 70741876 75907778 88427345 151815556 176854690 189769445 346292893 353709380 379538890 692585786 759077780 1150696483 1385171572 1731464465 2301392966 3462928930 4602785932 5753482415 6925857860 10735079683 11506964830 21470159366 23013929660 35671590973 42940318732 53675398415 71343181946 107350796830 142686363892 178357954865 214701593660 356715909730 698472765181 713431819460 1396945530362 2793891060724 3492363825905 6984727651810 13969455303620 21652655720611 43305311441222 86610622882444 108263278603055 216526557206110 433053114412220