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4404123145341 = 3217216126714987
BaseRepresentation
bin100000000010110101000…
…1100100001010001111101
3120121000210220200120000200
41000011222030201101331
51034124121011122331
613211120511314113
7633121164032043
oct100055214412175
916530726616020
104404123145341
1114488617780a7
125b166bb1b939
1325c3cb713c3a
14113236d50393
15798648515e6
hex4016a32147d

4404123145341 has 48 divisors (see below), whose sum is σ = 6742709445888. Its totient is φ = 2760504883200.

The previous prime is 4404123145277. The next prime is 4404123145343. The reversal of 4404123145341 is 1435413214044.

It is a happy number.

4404123145341 is a `hidden beast` number, since 4 + 4 + 0 + 41 + 231 + 45 + 341 = 666.

It is not a de Polignac number, because 4404123145341 - 26 = 4404123145277 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4404123145296 and 4404123145305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404123145343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 883118250 + ... + 883123236.

It is an arithmetic number, because the mean of its divisors is an integer number (140473113456).

Almost surely, 24404123145341 is an apocalyptic number.

It is an amenable number.

4404123145341 is a deficient number, since it is larger than the sum of its proper divisors (2338586300547).

4404123145341 is a wasteful number, since it uses less digits than its factorization.

4404123145341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9842 (or 9839 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 4404123145341 its reverse (1435413214044), we get a palindrome (5839536359385).

The spelling of 4404123145341 in words is "four trillion, four hundred four billion, one hundred twenty-three million, one hundred forty-five thousand, three hundred forty-one".

Divisors: 1 3 9 17 51 153 2161 2671 4987 6483 8013 14961 19449 24039 36737 44883 45407 84779 110211 136221 254337 330633 408663 763011 5772031 10776907 13320277 17316093 32330721 39960831 51948279 96992163 98124527 119882493 183207419 226444709 294373581 549622257 679334127 883120743 1648866771 2038002381 28785118597 86355355791 259066067373 489347016149 1468041048447 4404123145341