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4122314444325 = 3527114316600481
BaseRepresentation
bin111011111111001101000…
…101101000111000100101
3112121002102011220021011210
4323333031011220320211
51020014444444204300
612433433133022033
7603553536426450
oct73771505507045
915532364807153
104122314444325
11134a29a042aa0
12566b22924919
1323b96a64468c
14103741bd4497
157236e237050
hex3bfcd168e25

4122314444325 has 96 divisors (see below), whose sum is σ = 8694934060032. Its totient is φ = 1673328384000.

The previous prime is 4122314444323. The next prime is 4122314444363. The reversal of 4122314444325 is 5234444132214.

It is not a de Polignac number, because 4122314444325 - 21 = 4122314444323 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4122314444323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8051916 + ... + 8548565.

It is an arithmetic number, because the mean of its divisors is an integer number (90572229792).

Almost surely, 24122314444325 is an apocalyptic number.

It is an amenable number.

4122314444325 is an abundant number, since it is smaller than the sum of its proper divisors (4572619615707).

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

4122314444325 is a wasteful number, since it uses less digits than its factorization.

4122314444325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16600555 (or 16600550 counting only the distinct ones).

The product of its digits is 368640, while the sum is 39.

Adding to 4122314444325 its reverse (5234444132214), we get a palindrome (9356758576539).

The spelling of 4122314444325 in words is "four trillion, one hundred twenty-two billion, three hundred fourteen million, four hundred forty-four thousand, three hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 43 55 75 77 105 129 165 175 215 231 275 301 385 473 525 645 825 903 1075 1155 1419 1505 1925 2365 3225 3311 4515 5775 7095 7525 9933 11825 16555 22575 35475 49665 82775 248325 16600481 49801443 83002405 116203367 182605291 249007215 348610101 415012025 547815873 581016835 713820683 913026455 1245036075 1278237037 1743050505 2141462049 2739079365 2905084175 3569103415 3834711111 4565132275 4996744781 6391185185 7852027513 8715252525 10707310245 13695396825 14990234343 17845517075 19173555555 23556082539 24983723905 31955925925 39260137565 53536551225 54964192591 74951171715 95867777775 117780412695 124918619525 164892577773 196300687825 274820962955 374755858575 588902063475 824462888865 1374104814775 4122314444325