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312142134201441 = 34128118077499591
BaseRepresentation
bin100011011111001000100000…
…1000001110100110001100001
31111221012111102000121020101120
41012332101001001310301201
5311403114042323421231
63023512041123322453
7122514345033333405
oct10676210101646141
91457174360536346
10312142134201441
1190504810256605
122b0132a1220429
1310522b5288a97b
145711a8d273105
1526147eea21d96
hex11be441074c61

312142134201441 has 32 divisors (see below), whose sum is σ = 427882226962176. Its totient is φ = 202285190016000.

The previous prime is 312142134201431. The next prime is 312142134201481. The reversal of 312142134201441 is 144102431241213.

It is not a de Polignac number, because 312142134201441 - 29 = 312142134200929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312142134201431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 624545556 + ... + 625045146.

It is an arithmetic number, because the mean of its divisors is an integer number (13371319592568).

Almost surely, 2312142134201441 is an apocalyptic number.

It is an amenable number.

312142134201441 is a deficient number, since it is larger than the sum of its proper divisors (115740092760735).

312142134201441 is a wasteful number, since it uses less digits than its factorization.

312142134201441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517993.

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 312142134201441 its reverse (144102431241213), we get a palindrome (456244565442654).

The spelling of 312142134201441 in words is "three hundred twelve trillion, one hundred forty-two billion, one hundred thirty-four million, two hundred one thousand, four hundred forty-one".

Divisors: 1 3 41 123 281 843 11521 18077 34563 54231 499591 741157 1498773 2223471 5079637 15238911 20483231 61449693 140385071 208265117 421155213 624795351 5755787911 9031106507 17267363733 27093319521 370275366787 1110826100361 2537740928467 7613222785401 104047378067147 312142134201441