Search a number
-
+
140424414121110 = 235729208911037911
BaseRepresentation
bin11111111011011100011011…
…010100100100110010010110
3200102012102221212021202122210
4133323130123110210302112
5121401203200003333420
61214354030230334250
741402220613554540
oct3773343324446226
9612172855252583
10140424414121110
114081a728a07139
12138bb2381ba386
136047c72091c42
142696813ac8690
151137b644289e0
hex7fb71b524c96

140424414121110 has 128 divisors (see below), whose sum is σ = 398636399462400. Its totient is φ = 30975377771520.

The previous prime is 140424414121091. The next prime is 140424414121153. The reversal of 140424414121110 is 11121414424041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7203055 + ... + 18240965.

It is an arithmetic number, because the mean of its divisors is an integer number (3114346870800).

Almost surely, 2140424414121110 is an apocalyptic number.

140424414121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 140424414121110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199318199731200).

140424414121110 is an abundant number, since it is smaller than the sum of its proper divisors (258211985341290).

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

140424414121110 is a wasteful number, since it uses less digits than its factorization.

140424414121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11040046.

The product of its (nonzero) digits is 4096, while the sum is 30.

Adding to 140424414121110 its reverse (11121414424041), we get a palindrome (151545828545151).

The spelling of 140424414121110 in words is "one hundred forty trillion, four hundred twenty-four billion, four hundred fourteen million, one hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 406 435 609 870 1015 1218 2030 2089 3045 4178 6090 6267 10445 12534 14623 20890 29246 31335 43869 60581 62670 73115 87738 121162 146230 181743 219345 302905 363486 424067 438690 605810 848134 908715 1272201 1817430 2120335 2544402 4240670 6361005 11037911 12722010 22075822 33113733 55189555 66227466 77265377 110379110 154530754 165568665 231796131 320099419 331137330 386326885 463592262 640198838 772653770 960298257 1158980655 1600497095 1920596514 2240695933 2317961310 3200994190 4481391866 4801491285 6722087799 9602982570 11203479665 13444175598 22406959330 23058196079 33610438995 46116392158 67220877990 69174588237 115290980395 138349176474 161407372553 230581960790 322814745106 345872941185 484222117659 668687686291 691745882370 807036862765 968444235318 1337375372582 1614073725530 2006063058873 2421110588295 3343438431455 4012126117746 4680813804037 4842221176590 6686876862910 9361627608074 10030315294365 14042441412111 20060630588730 23404069020185 28084882824222 46808138040370 70212207060555 140424414121110