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2140041141 = 34731723197
BaseRepresentation
bin111111110001110…
…0110111110110101
312112010212100120000
41333203212332311
513340322304031
6552204301513
7104014023000
oct17743467665
95463770500
102140041141
119a8aa7647
124b8841899
1328149a344
14164310537
15c7d263e6
hex7f8e6fb5

2140041141 has 160 divisors (see below), whose sum is σ = 4139942400. Its totient is φ = 1095316992.

The previous prime is 2140041103. The next prime is 2140041149. The reversal of 2140041141 is 1411400412.

2140041141 is a `hidden beast` number, since 214 + 0 + 0 + 411 + 41 = 666.

It is not a de Polignac number, because 2140041141 - 26 = 2140041077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140041149) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10863055 + ... + 10863251.

It is an arithmetic number, because the mean of its divisors is an integer number (25874640).

Almost surely, 22140041141 is an apocalyptic number.

2140041141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2140041141 is a deficient number, since it is larger than the sum of its proper divisors (1999901259).

2140041141 is a wasteful number, since it uses less digits than its factorization.

2140041141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2140041141 is about 46260.5786928785. The cubic root of 2140041141 is about 1288.6670005436.

Adding to 2140041141 its reverse (1411400412), we get a palindrome (3551441553).

The spelling of 2140041141 in words is "two billion, one hundred forty million, forty-one thousand, one hundred forty-one".

Divisors: 1 3 7 9 17 21 23 27 49 51 63 69 81 119 147 153 161 189 197 207 343 357 391 441 459 483 567 591 621 833 1029 1071 1127 1173 1323 1377 1379 1449 1773 1863 2499 2737 3087 3213 3349 3381 3519 3969 4137 4347 4531 5319 5831 7497 7889 8211 9261 9639 9653 10047 10143 10557 12411 13041 13593 15957 17493 19159 22491 23443 23667 24633 27783 28959 30141 30429 31671 31717 37233 40779 52479 57477 67473 67571 70329 71001 73899 77027 86877 90423 91287 95151 111699 122337 134113 157437 164101 172431 202713 210987 213003 221697 222019 231081 260631 271269 285453 367011 402339 472311 492303 517293 539189 608139 632961 639009 666057 693243 781893 856359 1148707 1207017 1476909 1551879 1554133 1617567 1824417 1898883 1998171 2079729 2569077 3446121 3621051 3774323 4430727 4662399 4852701 5473251 5994513 6239187 10338363 10863153 11322969 13292181 13987197 14558103 17983539 26420261 31015089 33968907 41961591 43674309 79260783 93045267 101906721 125884773 237782349 305720163 713347047 2140041141