Search a number
-
+
353450002542 = 237213367251983
BaseRepresentation
bin1010010010010110100…
…00110000100001101110
31020210022112112111010220
411021023100300201232
521242331200040132
6430212300112210
734351551310500
oct5111320604156
91223275474126
10353450002542
1112699634831a
1258601835666
132743a580a50
141316db37d70
1592d9d86a2c
hex524b43086e

353450002542 has 96 divisors (see below), whose sum is σ = 887983552512. Its totient is φ = 92963215296.

The previous prime is 353450002483. The next prime is 353450002559. The reversal of 353450002542 is 245200054353.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1276683 + ... + 1528665.

It is an arithmetic number, because the mean of its divisors is an integer number (9249828672).

Almost surely, 2353450002542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353450002542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443991776256).

353450002542 is an abundant number, since it is smaller than the sum of its proper divisors (534533549970).

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

353450002542 is a wasteful number, since it uses less digits than its factorization.

353450002542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252382 (or 252375 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 33.

Adding to 353450002542 its reverse (245200054353), we get a palindrome (598650056895).

The spelling of 353450002542 in words is "three hundred fifty-three billion, four hundred fifty million, two thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 367 546 637 734 1101 1274 1911 2202 2569 3822 4771 5138 7707 9542 14313 15414 17983 28626 33397 35966 53949 66794 100191 107898 200382 233779 251983 467558 503966 701337 755949 1402674 1511898 1763881 3275779 3527762 5291643 6551558 9827337 10583286 12347167 19654674 22930453 24694334 37041501 45860906 68791359 74083002 92477761 137582718 160513171 184955522 277433283 321026342 481539513 554866566 647344327 963079026 1202210893 1294688654 1942032981 2404421786 3606632679 3884065962 4531410289 7213265358 8415476251 9062820578 13594230867 16830952502 25246428753 27188461734 50492857506 58908333757 117816667514 176725001271 353450002542