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140224144221144 = 233217224233510907
BaseRepresentation
bin11111111000100001111010…
…010011100010001111011000
3200101111022000201010202000100
4133320201322103202033120
5121334413021410034034
61214122025455335400
741351601004524264
oct3770417223421730
9611438021122010
10140224144221144
11407527a8860115
1213888466221560
136032106b83659
14268ac55c2b0a4
15113284243e099
hex7f887a4e23d8

140224144221144 has 96 divisors (see below), whose sum is σ = 402115935096720. Its totient is φ = 43991606089728.

The previous prime is 140224144221121. The next prime is 140224144221163. The reversal of 140224144221144 is 441122441422041.

140224144221144 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 2 + 414 + 4 + 221 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 140224144221099 and 140224144221108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274205739 + ... + 274716645.

Almost surely, 2140224144221144 is an apocalyptic number.

It is an amenable number.

140224144221144 is an abundant number, since it is smaller than the sum of its proper divisors (261891790875576).

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

140224144221144 is a wasteful number, since it uses less digits than its factorization.

140224144221144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735169 (or 735162 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

Adding to 140224144221144 its reverse (441122441422041), we get a palindrome (581346585643185).

The spelling of 140224144221144 in words is "one hundred forty trillion, two hundred twenty-four billion, one hundred forty-four million, two hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 224233 448466 510907 672699 896932 1021814 1345398 1532721 1793864 2018097 2043628 2690796 3065442 3811961 4036194 4087256 4598163 5381592 6130884 7623922 8072388 8685419 9196326 11435883 12261768 15247844 16144776 17370838 18392652 22871766 26056257 30495688 34307649 34741676 36785304 45743532 52112514 68615298 69483352 78168771 91487064 104225028 137230596 156337542 208450056 274461192 312675084 625350168 114562209331 229124418662 343686627993 458248837324 687373255986 916497674648 1031059883979 1374746511972 1947557558627 2062119767958 2749493023944 3895115117254 4124239535916 5842672675881 7790230234508 8248479071832 11685345351762 15580460469016 17528018027643 23370690703524 35056036055286 46741381407048 70112072110572 140224144221144