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2142001302441 = 3711133744343517
BaseRepresentation
bin11111001010111001001…
…110100000101110101001
321120202212202100102112220
4133022321032200232221
5240043304313134231
64320004413424253
7310516534442250
oct37127116405651
97522782312486
102142001302441
11756465991090
122a7173a9b089
13126cb39384a0
147595dbd5797
153aab976c896
hex1f2b93a0ba9

2142001302441 has 128 divisors (see below), whose sum is σ = 3947251101696. Its totient is φ = 997094292480.

The previous prime is 2142001302409. The next prime is 2142001302449. The reversal of 2142001302441 is 1442031002412.

It is not a de Polignac number, because 2142001302441 - 25 = 2142001302409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2142001302449) 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, 49200415 + ... + 49243931.

It is an arithmetic number, because the mean of its divisors is an integer number (30837899232).

Almost surely, 22142001302441 is an apocalyptic number.

2142001302441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2142001302441 is a deficient number, since it is larger than the sum of its proper divisors (1805249799255).

2142001302441 is a wasteful number, since it uses less digits than its factorization.

2142001302441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44031.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2142001302441 its reverse (1442031002412), we get a palindrome (3584032304853).

It can be divided in two parts, 2142001 and 302441, that added together give a palindrome (2444442).

The spelling of 2142001302441 in words is "two trillion, one hundred forty-two billion, one million, three hundred two thousand, four hundred forty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 443 481 777 1001 1221 1329 1443 2849 3003 3101 3367 4873 5291 5759 8547 9303 10101 14619 15873 16391 17277 34111 37037 40313 43517 49173 63349 102333 111111 114737 120939 130551 180301 190047 213083 304619 344211 443443 478687 540903 565721 639249 913857 1262107 1330329 1436061 1491581 1610129 1697163 2343913 3350809 3786321 3960047 4474743 4830387 6222931 7031739 10052427 11270903 11880141 16407391 17711419 18668793 19278031 20931677 33812709 43560517 49222173 53134257 57834093 62795031 123979933 130681551 134946217 146521739 212058341 230248447 250614403 371939799 404838651 439565217 636175023 690745341 713287147 751843209 1484408387 1611739129 1754300821 2139861441 2756758433 4453225161 4835217387 4993010029 5262902463 7846158617 8270275299 9272732911 14979030087 19297309031 23538475851 27818198733 54923110319 57891927093 64909130377 102000062021 164769330957 194727391131 306000186063 714000434147 2142001302441