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412302141203214 = 23198968749591091
BaseRepresentation
bin101110110111111001001001…
…0101010101010001100001110
32000001211200220010022122022010
41131233302102222222030032
5413020124241122000324
64020520553331402050
7152562563262543333
oct13557622252521416
92001750803278263
10412302141203214
1110a4103a1018429
123a2aab00a53326
1314909c04552492
1473b575c89c98a
15329edd16b3829
hex176fc92aaa30e

412302141203214 has 64 divisors (see below), whose sum is σ = 877771620000000. Its totient is φ = 128735656853760.

The previous prime is 412302141203189. The next prime is 412302141203219.

It is a happy number.

412302141203214 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412302141203219) 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, 697231809 + ... + 697822899.

It is an arithmetic number, because the mean of its divisors is an integer number (13715181562500).

Almost surely, 2412302141203214 is an apocalyptic number.

412302141203214 is an abundant number, since it is smaller than the sum of its proper divisors (465469478796786).

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

412302141203214 is a wasteful number, since it uses less digits than its factorization.

412302141203214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659953.

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 412302141203214 in words is "four hundred twelve trillion, three hundred two billion, one hundred forty-one million, two hundred three thousand, two hundred fourteen".

Divisors: 1 2 3 6 19 38 57 89 114 178 267 534 1691 3382 5073 10146 68749 137498 206247 412494 591091 1182182 1306231 1773273 2612462 3546546 3918693 6118661 7837386 11230729 12237322 18355983 22461458 33692187 36711966 52607099 67384374 105214198 116254559 157821297 232509118 315642594 348763677 697527354 999534881 1999069762 2998604643 5997209286 40636915159 81273830318 121910745477 243821490954 772101388021 1544202776042 2316304164063 3616685449151 4632608328126 7233370898302 10850056347453 21700112694906 68717023533869 137434047067738 206151070601607 412302141203214