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315020273400 = 233252725001609
BaseRepresentation
bin1001001010110001010…
…10111110011011111000
31010010010022012222022100
410211120222332123320
520130130142222100
6400415053423400
731521332100030
oct4453052763370
91103108188270
10315020273400
11111665805a98
125107779ab60
1323924925651
1411365d228c0
1582db17a400
hex4958abe6f8

315020273400 has 144 divisors (see below), whose sum is σ = 1209077859600. Its totient is φ = 72004631040.

The previous prime is 315020273387. The next prime is 315020273401. The reversal of 315020273400 is 4372020513.

315020273400 is a `hidden beast` number, since 3 + 1 + 50 + 202 + 7 + 3 + 400 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315020273401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12488205 + ... + 12513404.

It is an arithmetic number, because the mean of its divisors is an integer number (8396374025).

Almost surely, 2315020273400 is an apocalyptic number.

315020273400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315020273400 is an abundant number, since it is smaller than the sum of its proper divisors (894057586200).

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

315020273400 is a wasteful number, since it uses less digits than its factorization.

315020273400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25001638 (or 25001626 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

Adding to 315020273400 its reverse (4372020513), we get a palindrome (319392293913).

The spelling of 315020273400 in words is "three hundred fifteen billion, twenty million, two hundred seventy-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 4200 6300 12600 25001609 50003218 75004827 100006436 125008045 150009654 175011263 200012872 225014481 250016090 300019308 350022526 375024135 450028962 500032180 525033789 600038616 625040225 700045052 750048270 875056315 900057924 1000064360 1050067578 1125072405 1250080450 1400090104 1500096540 1575101367 1750112630 1800115848 1875120675 2100135156 2250144810 2500160900 2625168945 3000193080 3150202734 3500225260 3750241350 4200270312 4375281575 4500289620 5000321800 5250337890 5625362025 6300405468 7000450520 7500482700 7875506835 8750563150 9000579240 10500675780 11250724050 12600810936 13125844725 15000965400 15751013670 17501126300 21001351560 22501448100 26251689450 31502027340 35002252600 39377534175 45002896200 52503378900 63004054680 78755068350 105006757800 157510136700 315020273400