Search a number
-
+
352114344544 = 25236168311483
BaseRepresentation
bin1010001111110111010…
…01101000001001100000
31020122212110021000211011
411013323221220021200
521232112233011134
6425431544230304
734303502355034
oct5077351501140
91218773230734
10352114344544
11126370405736
12582aa46b394
132728693c681
14130845b41c4
15925c9a1264
hex51fba68260

352114344544 has 96 divisors (see below), whose sum is σ = 736364369664. Its totient is φ = 165384890880.

The previous prime is 352114344511. The next prime is 352114344557. The reversal of 352114344544 is 445443411253.

It is a junction number, because it is equal to n+sod(n) for n = 352114344497 and 352114344506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30658227 + ... + 30669709.

It is an arithmetic number, because the mean of its divisors is an integer number (7670462184).

Almost surely, 2352114344544 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 352114344544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368182184832).

352114344544 is an abundant number, since it is smaller than the sum of its proper divisors (384250025120).

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

352114344544 is a wasteful number, since it uses less digits than its factorization.

352114344544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12260 (or 12252 counting only the distinct ones).

The product of its digits is 460800, while the sum is 40.

Adding to 352114344544 its reverse (445443411253), we get a palindrome (797557755797).

The spelling of 352114344544 in words is "three hundred fifty-two billion, one hundred fourteen million, three hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 61 92 122 184 244 368 488 683 736 976 1366 1403 1952 2732 2806 5464 5612 10928 11224 11483 15709 21856 22448 22966 31418 41663 44896 45932 62836 83326 91864 125672 166652 183728 251344 264109 333304 367456 502688 528218 666608 700463 958249 1056436 1333216 1400926 1916498 2112872 2801852 3832996 4225744 5603704 7665992 7842889 8451488 11207408 15331984 15685778 16110649 22414816 30663968 31371556 32221298 62743112 64442596 125486224 128885192 180386447 250972448 257770384 360772894 478416229 515540768 721545788 956832458 1443091576 1913664916 2886183152 3827329832 5772366304 7654659664 11003573267 15309319328 22007146534 44014293068 88028586136 176057172272 352114344544