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42345330750216 = 233213206321929587
BaseRepresentation
bin10011010000011010010100…
…11001011011001100001000
312112221011200220111121002100
421220031022121123030020
521022241214133001331
6230021102033433400
711630230525353654
oct1150151231331410
9175834626447070
1042345330750216
11125466102a478a
1248ba98570b860
131a821bc244c50
14a6574c635a64
154d6774d7bae6
hex26834a65b308

42345330750216 has 96 divisors (see below), whose sum is σ = 123567088095360. Its totient is φ = 13023016223616.

The previous prime is 42345330750199. The next prime is 42345330750271. The reversal of 42345330750216 is 61205703354324.

It is a happy number.

42345330750216 is a `hidden beast` number, since 4 + 2 + 34 + 5 + 330 + 75 + 0 + 216 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9033826 + ... + 12895761.

It is an arithmetic number, because the mean of its divisors is an integer number (1287157167660).

Almost surely, 242345330750216 is an apocalyptic number.

It is an amenable number.

42345330750216 is an abundant number, since it is smaller than the sum of its proper divisors (81221757345144).

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

42345330750216 is a wasteful number, since it uses less digits than its factorization.

42345330750216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21931675 (or 21931668 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 42345330750216 in words is "forty-two trillion, three hundred forty-five billion, three hundred thirty million, seven hundred fifty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2063 4126 6189 8252 12378 16504 18567 24756 26819 37134 49512 53638 74268 80457 107276 148536 160914 214552 241371 321828 482742 643656 965484 1930968 21929587 43859174 65788761 87718348 131577522 175436696 197366283 263155044 285084631 394732566 526310088 570169262 789465132 855253893 1140338524 1578930264 1710507786 2280677048 2565761679 3421015572 5131523358 6842031144 10263046716 20526093432 45240737981 90481475962 135722213943 180962951924 271444427886 361925903848 407166641829 542888855772 588129593753 814333283658 1085777711544 1176259187506 1628666567316 1764388781259 2352518375012 3257333134632 3528777562518 4705036750024 5293166343777 7057555125036 10586332687554 14115110250072 21172665375108 42345330750216