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235414040312550 = 235211568325105609
BaseRepresentation
bin110101100001101110011010…
…001111110111101011100110
31010212112100210020100002110110
4311201232122033313223212
5221324010423310000200
62152403414522033450
7100405050243245061
oct6541563217675346
91125470706302413
10235414040312550
1169012596585950
12224a0999948886
13a1485aab85468
14421c1594c78d8
151c339d58cab50
hexd61b9a3f7ae6

235414040312550 has 96 divisors (see below), whose sum is σ = 637014082239360. Its totient is φ = 57060025862400.

The previous prime is 235414040312543. The next prime is 235414040312599. The reversal of 235414040312550 is 55213040414532.

It is a junction number, because it is equal to n+sod(n) for n = 235414040312499 and 235414040312508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3175855 + ... + 21929754.

It is an arithmetic number, because the mean of its divisors is an integer number (6635563356660).

Almost surely, 2235414040312550 is an apocalyptic number.

235414040312550 is an abundant number, since it is smaller than the sum of its proper divisors (401600041926810).

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

235414040312550 is a wasteful number, since it uses less digits than its factorization.

235414040312550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25111318 (or 25111313 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 235414040312550 in words is "two hundred thirty-five trillion, four hundred fourteen billion, forty million, three hundred twelve thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1650 5683 11366 17049 28415 34098 56830 62513 85245 125026 142075 170490 187539 284150 312565 375078 426225 625130 852450 937695 1562825 1875390 3125650 4688475 9376950 25105609 50211218 75316827 125528045 150633654 251056090 276161699 376584135 552323398 627640225 753168270 828485097 1255280450 1380808495 1656970194 1882920675 2761616990 3765841350 4142425485 6904042475 8284850970 13808084950 20712127425 41424254850 142675175947 285350351894 428025527841 713375879735 856051055682 1426751759470 1569426935417 2140127639205 3138853870834 3566879398675 4280255278410 4708280806251 7133758797350 7847134677085 9416561612502 10700638196025 15694269354170 21401276392050 23541404031255 39235673385425 47082808062510 78471346770850 117707020156275 235414040312550