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4120840385616 = 2431131381550139
BaseRepresentation
bin111011111101110101001…
…110100011010001010000
3112120221121110012022202210
4323331311032203101100
51020003440114314431
612433030554512120
7603502160224263
oct73756516432120
915527543168683
104120840385616
111349702a70959
12566791135640
1323b794135ba6
14103642124cda
15722d4b13d46
hex3bf753a3450

4120840385616 has 80 divisors (see below), whose sum is σ = 10747508633280. Its totient is φ = 1360469268480.

The previous prime is 4120840385537. The next prime is 4120840385621. The reversal of 4120840385616 is 6165830480214.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7215475 + ... + 7765613.

It is an arithmetic number, because the mean of its divisors is an integer number (134343857916).

Almost surely, 24120840385616 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 4120840385616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5373754316640).

4120840385616 is an abundant number, since it is smaller than the sum of its proper divisors (6626668247664).

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

4120840385616 is a wasteful number, since it uses less digits than its factorization.

4120840385616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551644 (or 551638 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 4120840385616 in words is "four trillion, one hundred twenty billion, eight hundred forty million, three hundred eighty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1381 1808 2712 2762 4143 5424 5524 8286 11048 16572 22096 33144 66288 156053 312106 468159 550139 624212 936318 1100278 1248424 1650417 1872636 2200556 2496848 3300834 3745272 4401112 6601668 7490544 8802224 13203336 26406672 62165707 124331414 186497121 248662828 372994242 497325656 745988484 759741959 994651312 1491976968 1519483918 2279225877 2983953936 3038967836 4558451754 6077935672 9116903508 12155871344 18233807016 36467614032 85850841367 171701682734 257552524101 343403365468 515105048202 686806730936 1030210096404 1373613461872 2060420192808 4120840385616