Search a number
-
+
4226840802288 = 2433132332723591
BaseRepresentation
bin111101100000100011010…
…110000011001111110000
3112222002012210200102021000
4331200203112003033300
51023223032221133123
612553441151402000
7614244025005036
oct75404326031760
915862183612230
104226840802288
11138a6584918a5
12583234523300
13248787b28c30
1410881a062556
1574e3aa19b43
hex3d8235833f0

4226840802288 has 160 divisors (see below), whose sum is σ = 13633957370880. Its totient is φ = 1244019997440.

The previous prime is 4226840802281. The next prime is 4226840802299. The reversal of 4226840802288 is 8822080486224.

4226840802288 is a `hidden beast` number, since 4 + 2 + 2 + 6 + 8 + 408 + 0 + 228 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4226840802281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16232628 + ... + 16490963.

It is an arithmetic number, because the mean of its divisors is an integer number (85212233568).

Almost surely, 24226840802288 is an apocalyptic number.

4226840802288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4226840802288 is an abundant number, since it is smaller than the sum of its proper divisors (9407116568592).

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

4226840802288 is a wasteful number, since it uses less digits than its factorization.

4226840802288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32723644 (or 32723632 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 54.

The spelling of 4226840802288 in words is "four trillion, two hundred twenty-six billion, eight hundred forty million, eight hundred two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 36 39 46 48 52 54 69 72 78 92 104 108 117 138 144 156 184 207 208 216 234 276 299 312 351 368 414 432 468 552 598 621 624 702 828 897 936 1104 1196 1242 1404 1656 1794 1872 2392 2484 2691 2808 3312 3588 4784 4968 5382 5616 7176 8073 9936 10764 14352 16146 21528 32292 43056 64584 129168 32723591 65447182 98170773 130894364 196341546 261788728 294512319 392683092 425406683 523577456 589024638 752642593 785366184 850813366 883536957 1178049276 1276220049 1505285186 1570732368 1701626732 1767073914 2257927779 2356098552 2552440098 3010570372 3403253464 3534147828 3828660147 4515855558 4712197104 5104880196 6021140744 6773783337 6806506928 7068295656 7657320294 9031711116 9784353709 10209760392 11485980441 12042281488 13547566674 14136591312 15314640588 18063422232 19568707418 20321350011 20419520784 22971960882 27095133348 29353061127 30629281176 36126844464 39137414836 40642700022 45943921764 54190266696 58706122254 61258562352 78274829672 81285400044 88059183381 91887843528 108380533392 117412244508 156549659344 162570800088 176118366762 183775687056 234824489016 264177550143 325141600176 352236733524 469648978032 528355100286 704473467048 1056710200572 1408946934096 2113420401144 4226840802288