Search a number
-
+
142441008378 = 233161109149773
BaseRepresentation
bin1000010010101000100…
…1010100110011111010
3111121122221212221201220
42010222021110303322
54313204344232003
6145234141052510
713201551410544
oct2045211246372
9447587787656
10142441008378
1155455265939
1223733257136
1310580508456
146c738c4694
153a8a198353
hex212a254cfa

142441008378 has 128 divisors (see below), whose sum is σ = 304051968000. Its totient is φ = 44422732800.

The previous prime is 142441008319. The next prime is 142441008379. The reversal of 142441008378 is 873800144241.

It is not an unprimeable number, because it can be changed into a prime (142441008379) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 184270000 + ... + 184270772.

It is an arithmetic number, because the mean of its divisors is an integer number (2375406000).

Almost surely, 2142441008378 is an apocalyptic number.

142441008378 is an abundant number, since it is smaller than the sum of its proper divisors (161610959622).

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

142441008378 is a wasteful number, since it uses less digits than its factorization.

142441008378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128.

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 142441008378 in words is "one hundred forty-two billion, four hundred forty-one million, eight thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 31 61 62 93 109 122 149 183 186 218 298 327 366 447 654 773 894 1546 1891 2319 3379 3782 4619 4638 5673 6649 6758 9089 9238 10137 11346 13298 13857 16241 18178 19947 20274 23963 27267 27714 32482 39894 47153 47926 48723 54534 71889 84257 94306 97446 115177 141459 143778 168514 206119 230354 252771 281759 282918 345531 412238 503471 505542 563518 618357 691062 845277 990701 1006942 1236714 1461743 1510413 1690554 1981402 2611967 2923486 2972103 3020826 3570487 4385229 5139677 5223934 5944206 7025797 7140974 7835901 8770458 10279354 10711461 12554293 14051594 15419031 15671802 21077391 21422922 25108586 30711731 30838062 37662879 42154782 61423462 75325758 92135193 159329987 184270386 217799707 318659974 389183083 435599414 477989961 653399121 765811873 778366166 955979922 1167549249 1306798242 1531623746 2297435619 2335098498 4594871238 23740168063 47480336126 71220504189 142441008378