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140220010243313 = 711135911333762347
BaseRepresentation
bin11111111000011110000011…
…111001101010010011110001
3200101110220100121022220112022
4133320132003321222103301
5121334331040110241223
61214120103342041225
741351363366351630
oct3770360371522361
9611426317286468
10140220010243313
1140750a77288410
12138876b1879215
1360318c8582a20
14268a982b9d517
15113269e551ac8
hex7f8783e6a4f1

140220010243313 has 128 divisors (see below), whose sum is σ = 193728982487040. Its totient is φ = 97977507102720.

The previous prime is 140220010243289. The next prime is 140220010243331. The reversal of 140220010243313 is 313342010022041.

It is not a de Polignac number, because 140220010243313 - 238 = 139945132336369 is a prime.

It is a super-3 number, since 3×1402200102433133 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (140220010243343) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2248994606 + ... + 2249056952.

It is an arithmetic number, because the mean of its divisors is an integer number (1513507675680).

Almost surely, 2140220010243313 is an apocalyptic number.

140220010243313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

140220010243313 is a deficient number, since it is larger than the sum of its proper divisors (53508972243727).

140220010243313 is a wasteful number, since it uses less digits than its factorization.

140220010243313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62887.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 140220010243313 its reverse (313342010022041), we get a palindrome (453562020265354).

The spelling of 140220010243313 in words is "one hundred forty trillion, two hundred twenty billion, ten million, two hundred forty-three thousand, three hundred thirteen".

Divisors: 1 7 11 13 59 77 91 113 143 337 413 649 767 791 1001 1243 1469 2359 3707 4381 4543 5369 6667 8437 8701 10283 16159 19883 25949 30667 38081 46669 48191 59059 62347 73337 86671 113113 139181 218713 258479 266567 337337 418891 436429 495053 513359 606697 685817 810511 953381 1530991 1809353 2246779 2843269 2932237 3465371 3678473 4800719 5445583 5673577 6673667 7045211 8915621 15727453 19902883 21010939 24714569 25749311 29208127 38119081 40463203 47820149 49316477 62409347 77497321 91587743 147076573 173001983 204456889 231120329 273142207 283242421 321289397 334741043 415667449 526021639 542481247 641114201 1007465173 1239645401 1617842303 1911995449 2249025779 2374236107 2909672143 3004564277 3682151473 4572341939 5403676837 7052256211 8677517807 13636099411 16115390213 16619652749 21031949939 26116597177 30865069391 32006393573 37825737859 59440445207 95452695877 112807731491 140079930313 177269292343 182816180239 216055485737 339515763301 416083116449 980559512191 1240885046401 1540879233443 1821039094069 2376610343107 10786154634101 12747273658483 20031430034759 140220010243313