Search a number
-
+
352411521223412 = 2273114926910129589
BaseRepresentation
bin101000000100001000011001…
…1100010011000101011110100
31201012210012201211201212022002
41100020100303202120223310
5332142402243413122122
63245303341242354432
7134141615010333020
oct12010206342305364
91635705654655262
10352411521223412
11a231a983421432
12336378694bba18
13121843578cb141
146304b46c81380
152ab2074590992
hex1408433898af4

352411521223412 has 96 divisors (see below), whose sum is σ = 735165123840000. Its totient is φ = 144640792235520.

The previous prime is 352411521223387. The next prime is 352411521223441. The reversal of 352411521223412 is 214322125114253.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29725514 + ... + 39855102.

It is an arithmetic number, because the mean of its divisors is an integer number (7657970040000).

Almost surely, 2352411521223412 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 352411521223412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367582561920000).

352411521223412 is an abundant number, since it is smaller than the sum of its proper divisors (382753602616588).

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

352411521223412 is a wasteful number, since it uses less digits than its factorization.

352411521223412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10130049 (or 10130047 counting only the distinct ones).

The product of its digits is 115200, while the sum is 38.

Adding to 352411521223412 its reverse (214322125114253), we get a palindrome (566733646337665).

The spelling of 352411521223412 in words is "three hundred fifty-two trillion, four hundred eleven billion, five hundred twenty-one million, two hundred twenty-three thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 31 62 124 149 217 269 298 434 538 596 868 1043 1076 1883 2086 3766 4172 4619 7532 8339 9238 16678 18476 32333 33356 40081 58373 64666 80162 116746 129332 160324 233492 280567 561134 1122268 1242511 2485022 4970044 8697577 10129589 17395154 20259178 34790308 40518356 70907123 141814246 283628492 314017259 628034518 1256069036 1509308761 2198120813 2724859441 3018617522 4396241626 5449718882 6037235044 8792483252 10565161327 10899437764 19074016087 21130322654 38148032174 42260645308 46788571591 76296064348 84470642671 93577143182 168941285342 187154286364 327520001137 337882570684 406004056709 591294498697 655040002274 812008113418 1182588997394 1310080004548 1624016226836 2365177994788 2842028396963 5684056793926 11368113587852 12586125757979 25172251515958 50344503031916 88102880305853 176205760611706 352411521223412