Search a number
-
+
312142423301200 = 24521992944210303
BaseRepresentation
bin100011011111001000101001…
…0010000101001110001010000
31111221012112011011121000201001
41012332101102100221301100
5311403120140331114300
63023512125531551344
7122514355143544012
oct10676212220516120
91457175134530631
10312142423301200
1190504949465528
122b013361bbb554
1310522b9a74020b
145711ab980a1b2
15261481a0cb16a
hex11be452429c50

312142423301200 has 120 divisors (see below), whose sum is σ = 790241499878400. Its totient is φ = 118158221537280.

The previous prime is 312142423301179. The next prime is 312142423301299. The reversal of 312142423301200 is 2103324241213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15044752 + ... + 29165551.

It is an arithmetic number, because the mean of its divisors is an integer number (6585345832320).

Almost surely, 2312142423301200 is an apocalyptic number.

It is an amenable number.

312142423301200 is an abundant number, since it is smaller than the sum of its proper divisors (478099076577200).

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

312142423301200 is a wasteful number, since it uses less digits than its factorization.

312142423301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44211269 (or 44211258 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 312142423301200 its reverse (2103324241213), we get a palindrome (314245747542413).

The spelling of 312142423301200 in words is "three hundred twelve trillion, one hundred forty-two billion, four hundred twenty-three million, three hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 929 950 1520 1858 1900 3716 3800 4645 7432 7600 9290 14864 17651 18580 23225 35302 37160 46450 70604 74320 88255 92900 141208 176510 185800 282416 353020 371600 441275 706040 882550 1412080 1765100 3530200 7060400 44210303 88420606 176841212 221051515 353682424 442103030 707364848 839995757 884206060 1105257575 1679991514 1768412120 2210515150 3359983028 3536824240 4199978785 4421030300 6719966056 8399957570 8842060600 13439932112 16799915140 17684121200 20999893925 33599830280 41071371487 41999787850 67199660560 82142742974 83999575700 164285485948 167999151400 205356857435 328570971896 335998302800 410713714870 657141943792 780356058253 821427429740 1026784287175 1560712116506 1642854859480 2053568574350 3121424233012 3285709718960 3901780291265 4107137148700 6242848466024 7803560582530 8214274297400 12485696932048 15607121165060 16428548594800 19508901456325 31214242330120 39017802912650 62428484660240 78035605825300 156071211650600 312142423301200