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140213403021241 = 112237121111932819
BaseRepresentation
bin11111111000010111111010…
…000101000110111110111001
3200101110021022010200020202201
4133320113322011012332321
5121334224022133134431
61214113051554230201
741351040560034544
oct3770277205067671
9611407263606681
10140213403021241
1140749196716700
1213886368b85361
1360310b4760074
14268a51748785b
151132414471461
hex7f85fa146fb9

140213403021241 has 96 divisors (see below), whose sum is σ = 164053188311040. Its totient is φ = 119495058144000.

The previous prime is 140213403021227. The next prime is 140213403021257. The reversal of 140213403021241 is 142120304312041.

It is a happy number.

It is not a de Polignac number, because 140213403021241 - 237 = 140075964067769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (140213403021941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49738701330 + ... + 49738704148.

It is an arithmetic number, because the mean of its divisors is an integer number (1708887378240).

Almost surely, 2140213403021241 is an apocalyptic number.

140213403021241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

140213403021241 is a deficient number, since it is larger than the sum of its proper divisors (23839785289799).

140213403021241 is a wasteful number, since it uses less digits than its factorization.

140213403021241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4339 (or 4328 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 140213403021241 its reverse (142120304312041), we get a palindrome (282333707333282).

The spelling of 140213403021241 in words is "one hundred forty trillion, two hundred thirteen billion, four hundred three million, twenty-one thousand, two hundred forty-one".

Divisors: 1 11 23 71 121 211 253 781 1193 1633 2321 2783 2819 4853 8591 13123 14981 17963 25531 27439 31009 53383 64837 84703 144353 164791 197593 200149 251723 301829 341099 344563 587213 594809 713207 931733 1812701 1948169 2201639 2768953 3320119 3363067 3790193 4603427 5789629 6542899 7845277 10249063 13680607 17872333 21429859 24218029 30458483 36993737 41692123 42231439 50637697 63685919 71971889 77350541 150486677 196595663 235728449 238777757 406931107 411063659 464545829 557014667 700545109 709607137 850855951 971323097 1655353447 2162552293 2626555327 4521700249 5110004119 5491888411 7805678507 9359415461 10684554067 16320964151 28892108597 49738702739 50382106727 60410772521 85862463577 117530094737 179530605661 554203173997 664518497731 1158788454721 1974836662271 6096234913967 12746673001931 140213403021241