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140213324101220 = 225731571528940009
BaseRepresentation
bin11111111000010111110101…
…011000000011011001100100
3200101110021002122011200211222
4133320113311120003121210
5121334223341432214340
61214113040054515512
741351035611160166
oct3770276530033144
9611407078150758
10140213324101220
1140749156112947
1213886346665b98
1360310a12ba426
14268a50abc2936
15113240c5828b5
hex7f85f5603664

140213324101220 has 96 divisors (see below), whose sum is σ = 300409826085600. Its totient is φ = 54959730868224.

The previous prime is 140213324101219. The next prime is 140213324101243. The reversal of 140213324101220 is 22101423312041.

It is a happy number.

140213324101220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 1271986974976 + 138941337126244 = 1127824^2 + 11787338^2 .

It is a super-2 number, since 2×1402133241012202 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 140213324101220.

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, 3504524576 + ... + 3504564584.

It is an arithmetic number, because the mean of its divisors is an integer number (3129269021725).

Almost surely, 2140213324101220 is an apocalyptic number.

140213324101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140213324101220 is an abundant number, since it is smaller than the sum of its proper divisors (160196501984380).

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

140213324101220 is a wasteful number, since it uses less digits than its factorization.

140213324101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55537 (or 55535 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 140213324101220 its reverse (22101423312041), we get a palindrome (162314747413261).

The spelling of 140213324101220 in words is "one hundred forty trillion, two hundred thirteen billion, three hundred twenty-four million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 73 146 157 292 314 365 628 730 785 1460 1570 3140 11461 15289 22922 30578 40009 45844 57305 61156 76445 80018 114610 152890 160036 200045 229220 305780 400090 800180 1116097 2232194 2400373 2920657 4464388 4800746 5580485 5841314 6281413 9601492 11160970 11682628 12001865 12562826 14603285 22321940 24003730 25125652 29206570 31407065 48007460 58413140 62814130 125628260 175227229 350454458 458543149 611697601 700908916 876136145 917086298 1223395202 1752272290 1834172596 2292715745 2446790404 3058488005 3504544580 4585431490 6116976010 9170862980 12233952020 44653924873 89307849746 96036523357 178615699492 192073046714 223269624365 384146093428 446539248730 480182616785 893078497460 960365233570 1920730467140 7010666205061 14021332410122 28042664820244 35053331025305 70106662050610 140213324101220