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354305754001303 = 132671574094191163
BaseRepresentation
bin101000010001111010011110…
…0100110111110111110010111
31201110111022002011220010120121
41100203310330212332332113
5332414421141011020203
63253313452201012411
7134425513606306666
oct12043647446767627
91643438064803517
10354305754001303
11a2990254446855
12338a29b4184107
1312290b73879800
14636c6c0776ddd
152ae648bd7c0bd
hex1423d3c9bef97

354305754001303 has 96 divisors (see below), whose sum is σ = 394097079801600. Its totient is φ = 318299315862528.

The previous prime is 354305754001273. The next prime is 354305754001319. The reversal of 354305754001303 is 303100457503453.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-354305754001303 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 354305754001303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354305754001343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 304648111200 + ... + 304648112362.

It is an arithmetic number, because the mean of its divisors is an integer number (4105177914600).

Almost surely, 2354305754001303 is an apocalyptic number.

354305754001303 is a deficient number, since it is larger than the sum of its proper divisors (39791325800297).

354305754001303 is a wasteful number, since it uses less digits than its factorization.

354305754001303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 43.

The spelling of 354305754001303 in words is "three hundred fifty-four trillion, three hundred five billion, seven hundred fifty-four million, one thousand, three hundred three".

Divisors: 1 13 67 157 169 409 419 871 1163 2041 5317 5447 10519 11323 15119 26533 27403 28073 64213 65783 69121 70811 77921 136747 171371 182591 196547 356239 364949 475667 487297 834769 855179 1012973 1777711 2227823 2373683 4302271 4407461 4631107 4744337 6183671 6334861 10851997 11117327 11481857 12233597 13168649 26905247 28961699 30857879 31869689 32648899 55929523 57296993 74679719 76505629 80387723 82353193 149264141 159036761 199304473 349768211 414305957 424435687 727083799 744860909 970836347 994573177 1802651549 1940433833 2067477893 2590958149 4546986743 5003541173 5125877143 5385977441 5517663931 12620872511 12929451301 13353399691 23434470137 31290802261 33682455937 65046035249 66636402859 173594195983 304648111781 406780429393 845598458237 866273237167 2096483751487 2256724547779 5288145582109 27254288769331 354305754001303