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312141203223424 = 2723905831170487
BaseRepresentation
bin100011011111001000000100…
…1100010011011001110000000
31111221012102000010210122122021
41012332100021202123032000
5311403110141011122144
63023511404505251224
7122514313000213651
oct10676201142331600
91457172003718567
10312141203223424
1190504382795a93
122b013081493b14
1310522a34a390c3
145711a01771528
152614797e26884
hex11be40989b380

312141203223424 has 64 divisors (see below), whose sum is σ = 648888208151040. Its totient is φ = 149283147695616.

The previous prime is 312141203223407. The next prime is 312141203223481. The reversal of 312141203223424 is 424322302141213.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 312141203223424.

It is a congruent number.

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, 266091109 + ... + 267261595.

It is an arithmetic number, because the mean of its divisors is an integer number (10138878252360).

Almost surely, 2312141203223424 is an apocalyptic number.

It is an amenable number.

312141203223424 is an abundant number, since it is smaller than the sum of its proper divisors (336747004927616).

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

312141203223424 is a wasteful number, since it uses less digits than its factorization.

312141203223424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261107 (or 1261095 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 312141203223424 its reverse (424322302141213), we get a palindrome (736463505364637).

The spelling of 312141203223424 in words is "three hundred twelve trillion, one hundred forty-one billion, two hundred three million, two hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 1472 2944 90583 181166 362332 724664 1170487 1449328 2083409 2340974 2898656 4166818 4681948 5797312 8333636 9363896 11594624 16667272 18727792 26921201 33334544 37455584 53842402 66669088 74911168 107684804 133338176 149822336 215369608 266676352 430739216 861478432 1722956864 3445913728 106026223921 212052447842 424104895684 848209791368 1696419582736 2438603150183 3392839165472 4877206300366 6785678330944 9754412600732 13571356661888 19508825201464 39017650402928 78035300805856 156070601611712 312141203223424