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331414254453414 = 2311231012161613473
BaseRepresentation
bin100101101011010110110010…
…0111010010000001010100110
31121110102220010012220101212010
41023112231210322100022212
5321414342343120002124
63132505335012335050
7126543614114525466
oct11326554472201246
91543386105811763
10331414254453414
1196664aa5761680
1231206377314486
13112c02cb69b542
145bba76d5bdba6
15284aca2dde529
hex12d6b64e902a6

331414254453414 has 64 divisors (see below), whose sum is σ = 761994688946688. Its totient is φ = 95110992768000.

The previous prime is 331414254453407. The next prime is 331414254453419. The reversal of 331414254453414 is 414354452414133.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331414254453419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1080653419 + ... + 1080960054.

It is an arithmetic number, because the mean of its divisors is an integer number (11906167014792).

Almost surely, 2331414254453414 is an apocalyptic number.

331414254453414 is an abundant number, since it is smaller than the sum of its proper divisors (430580434493274).

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

331414254453414 is a wasteful number, since it uses less digits than its factorization.

331414254453414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161613613.

The product of its digits is 5529600, while the sum is 48.

The spelling of 331414254453414 in words is "three hundred thirty-one trillion, four hundred fourteen billion, two hundred fifty-four million, four hundred fifty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 101 138 202 253 303 506 606 759 1111 1518 2222 2323 3333 4646 6666 6969 13938 25553 51106 76659 153318 2161613473 4323226946 6484840419 12969680838 23777748203 47555496406 49717109879 71333244609 99434219758 142666489218 149151329637 218322960773 298302659274 436645921546 546888208669 654968882319 1093776417338 1309937764638 1640664626007 2401552568503 3281329252014 4803105137006 5021428097779 7204657705509 10042856195558 14409315411018 15064284293337 30128568586674 55235709075569 110471418151138 165707127226707 331414254453414