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140213324312240 = 24526173851173909
BaseRepresentation
bin11111111000010111110101…
…011000110110111010110000
3200101110021002122120102022112
4133320113311120312322300
5121334223342010442430
61214113040103224452
741351035613026334
oct3770276530667260
9611407078512275
10140213324312240
1140749156247443
1213886346748128
1360310a13624aa
14268a50ac397c4
15113240c5c5195
hex7f85f5636eb0

140213324312240 has 80 divisors (see below), whose sum is σ = 326207107971360. Its totient is φ = 56049018009600.

The previous prime is 140213324312239. The next prime is 140213324312249. The reversal of 140213324312240 is 42213423312041.

It is a happy number.

140213324312240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 140213324312197 and 140213324312206.

It is not an unprimeable number, because it can be changed into a prime (140213324312249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 806158406 + ... + 806332314.

It is an arithmetic number, because the mean of its divisors is an integer number (4077588849642).

Almost surely, 2140213324312240 is an apocalyptic number.

140213324312240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140213324312240 is an abundant number, since it is smaller than the sum of its proper divisors (185993783659120).

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

140213324312240 is a wasteful number, since it uses less digits than its factorization.

140213324312240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180390 (or 180384 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 140213324312240 its reverse (42213423312041), we get a palindrome (182426747624281).

The spelling of 140213324312240 in words is "one hundred forty trillion, two hundred thirteen billion, three hundred twenty-four million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2617 3851 5234 7702 10468 13085 15404 19255 20936 26170 30808 38510 41872 52340 61616 77020 104680 154040 173909 209360 308080 347818 695636 869545 1391272 1739090 2782544 3478180 6956360 10078067 13912720 20156134 40312268 50390335 80624536 100780670 161249072 201561340 403122680 455119853 669723559 806245360 910239706 1339447118 1820479412 2275599265 2678894236 3348617795 3640958824 4551198530 5357788472 6697235590 7281917648 9102397060 10715576944 13394471180 18204794120 26788942360 36409588240 53577884720 1752666553903 3505333107806 7010666215612 8763332769515 14021332431224 17526665539030 28042664862448 35053331078060 70106662156120 140213324312240