Search a number
-
+
354405132241524 = 2232713108182274799
BaseRepresentation
bin101000010010101000110000…
…0000000111000101001110100
31201110211210121000120210202100
41100211101200000320221310
5332423033202323212044
63253431245313342100
7134435632363360530
oct12045214000705164
91643753530523670
10354405132241524
11a2a194109115a1
12338ba109867930
131229a350612250
14637342adc8bc0
152ae8d566eb869
hex1425460038a74

354405132241524 has 72 divisors (see below), whose sum is σ = 1102593744761600. Its totient is φ = 93469485425472.

The previous prime is 354405132241453. The next prime is 354405132241591. The reversal of 354405132241524 is 425142231504453.

354405132241524 is a `hidden beast` number, since 3 + 5 + 4 + 4 + 0 + 51 + 32 + 2 + 41 + 524 = 666.

It is a super-2 number, since 2×3544051322415242 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 354405132241524.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54091134124 + ... + 54091140675.

Almost surely, 2354405132241524 is an apocalyptic number.

It is an amenable number.

354405132241524 is an abundant number, since it is smaller than the sum of its proper divisors (748188612520076).

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

354405132241524 is a wasteful number, since it uses less digits than its factorization.

354405132241524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108182274829 (or 108182274824 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

Adding to 354405132241524 its reverse (425142231504453), we get a palindrome (779547363745977).

The spelling of 354405132241524 in words is "three hundred fifty-four trillion, four hundred five billion, one hundred thirty-two million, two hundred forty-one thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 108182274799 216364549598 324546824397 432729099196 649093648794 757275923593 973640473191 1298187297588 1406369572387 1514551847186 1947280946382 2271827770779 2812739144774 3029103694372 3894561892764 4219108717161 4543655541558 5625478289548 6815483312337 8438217434322 9087311083116 9844587006709 12657326151483 13630966624674 16876434868644 19689174013418 25314652302966 27261933249348 29533761020127 39378348026836 50629304605932 59067522040254 88601283060381 118135044080508 177202566120762 354405132241524