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3152314104320 = 2959771260361
BaseRepresentation
bin101101110111110100100…
…011111111101000000000
3102011100200012010110200002
4231313310203333220000
5403121414402314240
610412053023215132
7443514165532133
oct55676443775000
912140605113602
103152314104320
111005986149737
1242ab337474a8
1319b353652254
14ac803b4821a
1556eeb57dd15
hex2ddf48ffa00

3152314104320 has 80 divisors (see below), whose sum is σ = 7565907712968. Its totient is φ = 1259634032640.

The previous prime is 3152314104263. The next prime is 3152314104337. The reversal of 3152314104320 is 234014132513.

It can be written as a sum of positive squares in 4 ways, for example, as 2977750579456 + 174563524864 = 1725616^2 + 417808^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1870940 + ... + 3131300.

Almost surely, 23152314104320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3152314104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782953856484).

3152314104320 is an abundant number, since it is smaller than the sum of its proper divisors (4413593608648).

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

3152314104320 is an equidigital number, since it uses as much as digits as its factorization.

3152314104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261361 (or 1261345 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 3152314104320 its reverse (234014132513), we get a palindrome (3386328236833).

The spelling of 3152314104320 in words is "three trillion, one hundred fifty-two billion, three hundred fourteen million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 977 1280 1954 2560 3908 4885 7816 9770 15632 19540 31264 39080 62528 78160 125056 156320 250112 312640 500224 625280 1250560 1260361 2501120 2520722 5041444 6301805 10082888 12603610 20165776 25207220 40331552 50414440 80663104 100828880 161326208 201657760 322652416 403315520 645304832 806631040 1231372697 1613262080 2462745394 3226524160 4925490788 6156863485 9850981576 12313726970 19701963152 24627453940 39403926304 49254907880 78807852608 98509815760 157615705216 197019631520 315231410432 394039263040 630462820864 788078526080 1576157052160 3152314104320