Search a number
-
+
4278484848344 = 23741103151119813
BaseRepresentation
bin111110010000101001100…
…100011100111011011000
3120011000111222001210002112
4332100221210130323120
51030044314110121334
613033301522451452
7621052562110010
oct76205144347330
916130458053075
104278484848344
1113aa54a17aaa3
12591247b03b88
132505c8383a75
1410b118c70c40
157645e8ae4ce
hex3e42991ced8

4278484848344 has 128 divisors (see below), whose sum is σ = 9545859348480. Its totient is φ = 1759798656000.

The previous prime is 4278484848317. The next prime is 4278484848359. The reversal of 4278484848344 is 4438484848724.

4278484848344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35649782 + ... + 35769594.

It is an arithmetic number, because the mean of its divisors is an integer number (74577026160).

Almost surely, 24278484848344 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 4278484848344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4772929674240).

4278484848344 is an abundant number, since it is smaller than the sum of its proper divisors (5267374500136).

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

4278484848344 is a wasteful number, since it uses less digits than its factorization.

4278484848344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120121 (or 120117 counting only the distinct ones).

The product of its digits is 704643072, while the sum is 68.

The spelling of 4278484848344 in words is "four trillion, two hundred seventy-eight billion, four hundred eighty-four million, eight hundred forty-eight thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 41 56 82 103 151 164 206 287 302 328 412 574 604 721 824 1057 1148 1208 1442 2114 2296 2884 4223 4228 5768 6191 8446 8456 12382 15553 16892 24764 29561 31106 33784 43337 49528 59122 62212 86674 108871 118244 119813 124424 173348 217742 236488 239626 346696 435484 479252 637673 838691 870968 958504 1275346 1677382 2550692 3354764 4463711 4912333 5101384 6709528 8927422 9824666 12340739 17854844 18091763 19649332 24681478 34386331 35709688 36183526 39298664 49362956 68772662 72367052 86385173 98725912 126642341 137545324 144734104 172770346 253284682 275090648 345540692 505970299 506569364 691081384 741762283 1011940598 1013138728 1483524566 1863451589 2023881196 2967049132 3541792093 3726903178 4047762392 5192335981 5934098264 7083584186 7453806356 10384671962 13044161123 14167168372 14907612712 20769343924 26088322246 28334336744 41538687848 52176644492 76401515149 104353288984 152803030298 305606060596 534810606043 611212121192 1069621212086 2139242424172 4278484848344