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312342303242320 = 245131193251742781
BaseRepresentation
bin100011100000100101101110…
…0000010000111100001010000
31111221220122002010222002101021
41013001023130002013201100
5311414404014112223240
63024144023452445224
7122534662306163101
oct10701133402074120
91457818063862337
10312342303242320
119058169948470a
122b046045479814
13105389a2c14720
14571b63b9983a8
152619b17c3754a
hex11c12dc087850

312342303242320 has 80 divisors (see below), whose sum is σ = 782712615967632. Its totient is φ = 115229719203840.

The previous prime is 312342303242311. The next prime is 312342303242383. The reversal of 312342303242320 is 23242303243213.

It can be written as a sum of positive squares in 8 ways, for example, as 95835563310096 + 216506739932224 = 9789564^2 + 14714168^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124630671 + ... + 127112110.

Almost surely, 2312342303242320 is an apocalyptic number.

It is an amenable number.

312342303242320 is an abundant number, since it is smaller than the sum of its proper divisors (470370312725312).

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

312342303242320 is a wasteful number, since it uses less digits than its factorization.

312342303242320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251744000 (or 251743994 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 34.

Adding to 312342303242320 its reverse (23242303243213), we get a palindrome (335584606485533).

The spelling of 312342303242320 in words is "three hundred twelve trillion, three hundred forty-two billion, three hundred three million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1193 2386 4772 5965 9544 11930 15509 19088 23860 31018 47720 62036 77545 95440 124072 155090 248144 310180 620360 1240720 251742781 503485562 1006971124 1258713905 2013942248 2517427810 3272656153 4027884496 5034855620 6545312306 10069711240 13090624612 16363280765 20139422480 26181249224 32726561530 52362498448 65453123060 130906246120 261812492240 300329137733 600658275466 1201316550932 1501645688665 2402633101864 3003291377330 3904278790529 4805266203728 6006582754660 7808557581058 12013165509320 15617115162116 19521393952645 24026331018640 31234230324232 39042787905290 62468460648464 78085575810580 156171151621160 312342303242320