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331142342041401 = 3111723571558116073
BaseRepresentation
bin100101101001011000001010…
…1101010101101111100111001
31121102110220021011201200101120
41023102300111222231330321
5321400414004030311101
63132140405233535453
7126515146635255552
oct11322602552557471
91542426234650346
10331142342041401
119656a751245a10
1231181730414589
13112a07869767a7
145bab53690b329
152843b8b4e8b36
hex12d2c15aadf39

331142342041401 has 64 divisors (see below), whose sum is σ = 510275488617216. Its totient is φ = 188782894899200.

The previous prime is 331142342041393. The next prime is 331142342041403. The reversal of 331142342041401 is 104140243241133.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 331142342041401 - 23 = 331142342041393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (331142342041403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20602389901 + ... + 20602405973.

It is an arithmetic number, because the mean of its divisors is an integer number (7973054509644).

Almost surely, 2331142342041401 is an apocalyptic number.

It is an amenable number.

331142342041401 is a deficient number, since it is larger than the sum of its proper divisors (179133146575815).

331142342041401 is a wasteful number, since it uses less digits than its factorization.

331142342041401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34042.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 331142342041401 its reverse (104140243241133), we get a palindrome (435282585282534).

The spelling of 331142342041401 in words is "three hundred thirty-one trillion, one hundred forty-two billion, three hundred forty-two million, forty-one thousand, four hundred one".

Divisors: 1 3 11 17 33 51 187 561 2357 7071 15581 16073 25927 40069 46743 48219 77781 120207 171391 176803 264877 273241 440759 514173 530409 794631 819723 1322277 2913647 3005651 8740941 9016953 36724417 37884061 110173251 113652183 250433413 403968587 416724671 624315089 644029037 751300239 1211905761 1250174013 1872945267 1932087111 2754767543 4257368021 6867465979 7084319407 8264302629 12772104063 20602397937 21252958221 46831048231 140493144693 590271554441 1770814663323 6492987098851 10034616425497 19478961296553 30103849276491 110380780680467 331142342041401