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140441301 = 3272111317131
BaseRepresentation
bin10000101111011…
…11011011010101
3100210021011020200
420113233123111
5241423110201
621534051113
73323505600
oct1027573325
9323234220
10140441301
11723036a0
123b049a99
1323133180
141491b337
15c4e2386
hex85ef6d5

140441301 has 144 divisors (see below), whose sum is σ = 295783488. Its totient is φ = 62899200.

The previous prime is 140441251. The next prime is 140441309. The reversal of 140441301 is 103144041.

It is not a de Polignac number, because 140441301 - 26 = 140441237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140441309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1072006 + ... + 1072136.

It is an arithmetic number, because the mean of its divisors is an integer number (2054052).

Almost surely, 2140441301 is an apocalyptic number.

140441301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

140441301 is an abundant number, since it is smaller than the sum of its proper divisors (155342187).

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

140441301 is a wasteful number, since it uses less digits than its factorization.

140441301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 140441301 is about 11850.7932645878. The cubic root of 140441301 is about 519.7944219421.

Adding to 140441301 its reverse (103144041), we get a palindrome (243585342).

The spelling of 140441301 in words is "one hundred forty million, four hundred forty-one thousand, three hundred one".

Divisors: 1 3 7 9 11 13 17 21 33 39 49 51 63 77 91 99 117 119 131 143 147 153 187 221 231 273 357 393 429 441 539 561 637 663 693 819 833 917 1001 1071 1179 1287 1309 1441 1547 1617 1683 1703 1911 1989 2227 2431 2499 2751 3003 3927 4323 4641 4851 5109 5733 6419 6681 7007 7293 7497 8253 9009 9163 10087 10829 11781 11921 12969 13923 15327 15589 17017 18733 19257 20043 21021 21879 24497 27489 28951 30261 32487 35763 46767 51051 56199 57771 63063 70609 73491 82467 83447 86853 90783 97461 107289 109123 119119 131131 140301 153153 168597 171479 202657 211827 220473 250341 260559 318461 327369 357357 393393 514437 607971 635481 751023 917917 955383 982107 1072071 1180179 1200353 1418599 1543311 1823913 2229227 2753751 2866149 3601059 4255797 6687681 8261253 10803177 12767391 15604589 20063043 46813767 140441301