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23114401442325 = 325210116711635237
BaseRepresentation
bin1010100000101101111011…
…01011111110101000010101
310000211201022101020012021100
411100112331223332220111
511012201243232123300
6121054335345340313
74603650262342554
oct520267553765025
9100751271205240
1023114401442325
117401843028666
122713886337699
13cb88a915a17b
1459ca58b09d9b
152a13d2ce3700
hex1505bdafea15

23114401442325 has 144 divisors (see below), whose sum is σ = 42104932361856. Its totient is φ = 12119790144000.

The previous prime is 23114401442323. The next prime is 23114401442339. The reversal of 23114401442325 is 52324410441132.

23114401442325 is a `hidden beast` number, since 2 + 3 + 1 + 14 + 401 + 4 + 4 + 232 + 5 = 666.

It is not a de Polignac number, because 23114401442325 - 21 = 23114401442323 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 23114401442325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23114401442323) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4413669607 + ... + 4413674843.

It is an arithmetic number, because the mean of its divisors is an integer number (292395363624).

Almost surely, 223114401442325 is an apocalyptic number.

23114401442325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23114401442325 is a deficient number, since it is larger than the sum of its proper divisors (18990530919531).

23114401442325 is a wasteful number, since it uses less digits than its factorization.

23114401442325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6684 (or 6676 counting only the distinct ones).

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

Adding to 23114401442325 its reverse (52324410441132), we get a palindrome (75438811883457).

The spelling of 23114401442325 in words is "twenty-three trillion, one hundred fourteen billion, four hundred one million, four hundred forty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 101 167 225 303 501 505 835 909 1163 1503 1515 2505 2525 3489 4175 4545 5237 5815 7515 7575 10467 12525 15711 16867 17445 22725 26185 29075 37575 47133 50601 52335 78555 84335 87225 117463 130925 151803 194221 235665 253005 261675 352389 392775 421675 528937 582663 587315 759015 874579 971105 1057167 1178325 1265025 1586811 1747989 1761945 2623737 2644685 2913315 2936575 3795075 4372895 4760433 4855525 5285835 6090631 7871211 7934055 8739945 8809725 13118685 13223425 14566575 18271893 19616321 21864475 23802165 26429175 30453155 39356055 39670275 43699725 54815679 58848963 65593425 88332479 91359465 98081605 119010825 152265775 176546889 196780275 264997437 274078395 294244815 441662395 456797325 490408025 615153731 794992311 882734445 1017135377 1324987185 1370391975 1471224075 1845461193 2208311975 3051406131 3075768655 3974961555 4413672225 5085676885 5536383579 6624935925 9154218393 9227305965 15257030655 15378843275 19874807775 25428384425 27681917895 45771091965 46136529825 76285153275 102730673077 138409589475 228855459825 308192019231 513653365385 924576057693 1540960096155 2568266826925 4622880288465 7704800480775 23114401442325