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312141421342240 = 2557278697697627
BaseRepresentation
bin100011011111001000001011…
…0100010011110111000100000
31111221012102120100020020101221
41012332100112202132320200
5311403111112330422430
63023511442300304424
7122514321256203610
oct10676202642367040
91457172510206357
10312141421342240
1190504484923976
122b013122542114
1310522a6ac984a9
145711a2270ca40
1526147ac15e57a
hex11be41689ee20

312141421342240 has 48 divisors (see below), whose sum is σ = 842781837627072. Its totient is φ = 107019915888384.

The previous prime is 312141421342229. The next prime is 312141421342277. The reversal of 312141421342240 is 42243124141213.

It is a junction number, because it is equal to n+sod(n) for n = 312141421342196 and 312141421342205.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139348847694 + ... + 139348849933.

It is an arithmetic number, because the mean of its divisors is an integer number (17557954950564).

Almost surely, 2312141421342240 is an apocalyptic number.

It is an amenable number.

312141421342240 is an abundant number, since it is smaller than the sum of its proper divisors (530640416284832).

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

312141421342240 is a wasteful number, since it uses less digits than its factorization.

312141421342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278697697649 (or 278697697641 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 312141421342240 its reverse (42243124141213), we get a palindrome (354384545483453).

The spelling of 312141421342240 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred twenty-one million, three hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 278697697627 557395395254 1114790790508 1393488488135 1950883883389 2229581581016 2786976976270 3901767766778 4459163162032 5573953952540 7803535533556 8918326324064 9754419416945 11147907905080 15607071067112 19508838833890 22295815810160 31214142134224 39017677667780 44591631620320 62428284268448 78035355335560 156070710671120 312141421342240