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353342221544 = 231322931728429
BaseRepresentation
bin1010010010001001101…
…01100110110011101000
31020210001000201122102002
411021010311212303220
521242121102042134
6430153450030132
734346102220254
oct5110465466350
91223030648362
10353342221544
11126940521914
1258591718348
1327421144700
141315d6bd264
1592d069687e
hex5244d66ce8

353342221544 has 96 divisors (see below), whose sum is σ = 744504939000. Its totient is φ = 156955309056.

The previous prime is 353342221523. The next prime is 353342221553. The reversal of 353342221544 is 445122243353.

It can be written as a sum of positive squares in 12 ways, for example, as 39417337444 + 313924884100 = 198538^2 + 560290^2 .

It is a junction number, because it is equal to n+sod(n) for n = 353342221498 and 353342221507.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12414722 + ... + 12443150.

Almost surely, 2353342221544 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 353342221544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372252469500).

353342221544 is an abundant number, since it is smaller than the sum of its proper divisors (391162717456).

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

353342221544 is a wasteful number, since it uses less digits than its factorization.

353342221544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28807 (or 28790 counting only the distinct ones).

The product of its digits is 345600, while the sum is 38.

Adding to 353342221544 its reverse (445122243353), we get a palindrome (798464464897).

The spelling of 353342221544 in words is "three hundred fifty-three billion, three hundred forty-two million, two hundred twenty-one thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 169 232 317 338 377 634 676 754 1268 1352 1508 2536 3016 4121 4901 8242 9193 9802 16484 18386 19604 28429 32968 36772 39208 53573 56858 73544 107146 113716 119509 214292 227432 239018 369577 428584 478036 739154 824441 956072 1478308 1553617 1648882 2956616 3107234 3297764 4804501 6214468 6595528 9011993 9609002 10717733 12428936 18023986 19218004 21435466 36047972 38436008 42870932 72095944 85741864 117155909 139330529 234311818 261347797 278661058 468623636 522695594 557322116 937247272 1045391188 1114644232 1523026817 2090782376 3046053634 3397521361 6092107268 6795042722 12184214536 13590085444 27180170888 44167777693 88335555386 176671110772 353342221544