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331344032001402 = 23737325965425007
BaseRepresentation
bin100101101010110110000101…
…1010100110110110101111010
31121110012011212021222020012010
41023111230023110312311322
5321412220034143021102
63132413202533430350
7126535546666530630
oct11325541324666572
91543164767866163
10331344032001402
119663823aa42072
12311b4839a9b3b6
13112b67ba1383a4
145bb71cb21d350
152849042edbd6c
hex12d5b0b536d7a

331344032001402 has 64 divisors (see below), whose sum is σ = 778065599139840. Its totient is φ = 92082817244736.

The previous prime is 331344032001397. The next prime is 331344032001403. The reversal of 331344032001402 is 204100230443133.

It is a happy number.

It is a super-3 number, since 3×3313440320014023 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 331344032001402.

It is not an unprimeable number, because it can be changed into a prime (331344032001403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27648018 + ... + 37776989.

It is an arithmetic number, because the mean of its divisors is an integer number (12157274986560).

Almost surely, 2331344032001402 is an apocalyptic number.

331344032001402 is an abundant number, since it is smaller than the sum of its proper divisors (446721567138438).

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

331344032001402 is a wasteful number, since it uses less digits than its factorization.

331344032001402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65428315.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 331344032001402 its reverse (204100230443133), we get a palindrome (535444262444535).

The spelling of 331344032001402 in words is "three hundred thirty-one trillion, three hundred forty-four billion, thirty-two million, one thousand, four hundred two".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 518 777 1554 3259 6518 9777 19554 22813 45626 68439 120583 136878 241166 361749 723498 844081 1688162 2532243 5064486 65425007 130850014 196275021 392550042 457975049 915950098 1373925147 2420725259 2747850294 4841450518 7262175777 14524351554 16945076813 33890153626 50835230439 101670460878 213220097813 426440195626 639660293439 1279320586878 1492540684691 2985081369382 4477622054073 7889143619081 8955244108146 15778287238162 23667430857243 47334861714486 55224005333567 110448010667134 165672016000701 331344032001402