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140213420131312 = 241126321121143419
BaseRepresentation
bin11111111000010111111011…
…000110011000001111110000
3200101110021100022212112101001
4133320113323012120033300
5121334224041023200222
61214113053405051344
741351041155336253
oct3770277306301760
9611407308775331
10140213420131312
11407491a5342760
1213886372856b54
1360310b8170c78
14268a51985d09a
151132415c00e27
hex7f85fb1983f0

140213420131312 has 80 divisors (see below), whose sum is σ = 297503187505920. Its totient is φ = 63487591833600.

The previous prime is 140213420131271. The next prime is 140213420131319. The reversal of 140213420131312 is 213131024312041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140213420131319) 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, 977577139 + ... + 977720557.

It is an arithmetic number, because the mean of its divisors is an integer number (3718789843824).

Almost surely, 2140213420131312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140213420131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148751593752960).

140213420131312 is an abundant number, since it is smaller than the sum of its proper divisors (157289767374608).

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

140213420131312 is a wasteful number, since it uses less digits than its factorization.

140213420131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164822 (or 164816 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 140213420131312 its reverse (213131024312041), we get a palindrome (353344444443353).

The spelling of 140213420131312 in words is "one hundred forty trillion, two hundred thirteen billion, four hundred twenty million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 176 263 526 1052 2104 2893 4208 5786 11572 21121 23144 42242 46288 84484 143419 168968 232331 286838 337936 464662 573676 929324 1147352 1577609 1858648 2294704 3155218 3717296 5554823 6310436 11109646 12620872 22219292 25241744 37719197 44438584 61103053 75438394 88877168 122206106 150876788 244412212 301753576 414911167 488824424 603507152 829822334 977648848 1659644668 3029152699 3319289336 6058305398 6638578672 12116610796 24233221592 33320679689 48466443184 66641359378 133282718756 266565437512 533130875024 796667159837 1593334319674 3186668639348 6373337278696 8763338758207 12746674557392 17526677516414 35053355032828 70106710065656 140213420131312