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14553052300 = 225217312711019
BaseRepresentation
bin11011000110110110…
…11111010010001100
31101120020010122201001
431203123133102030
5214301040133200
610404030230044
71023431621623
oct154333372214
941506118631
1014553052300
116198900656
1229a1955324
1314ac07a767
149c0b1c6ba
155a297a76a
hex3636df48c

14553052300 has 144 divisors (see below), whose sum is σ = 34677780480. Its totient is φ = 5277312000.

The previous prime is 14553052291. The next prime is 14553052307. The reversal of 14553052300 is 325035541.

It is not an unprimeable number, because it can be changed into a prime (14553052307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14281191 + ... + 14282209.

It is an arithmetic number, because the mean of its divisors is an integer number (240817920).

Almost surely, 214553052300 is an apocalyptic number.

14553052300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14553052300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17338890240).

14553052300 is an abundant number, since it is smaller than the sum of its proper divisors (20124728180).

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

14553052300 is a wasteful number, since it uses less digits than its factorization.

14553052300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

Adding to 14553052300 its reverse (325035541), we get a palindrome (14878087841).

The spelling of 14553052300 in words is "fourteen billion, five hundred fifty-three million, fifty-two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 31 34 50 62 68 85 100 124 155 170 271 310 340 425 527 542 620 775 850 1019 1054 1084 1355 1550 1700 2038 2108 2635 2710 3100 4076 4607 5095 5270 5420 6775 8401 9214 10190 10540 13175 13550 16802 17323 18428 20380 23035 25475 26350 27100 31589 33604 34646 42005 46070 50950 52700 63178 69292 84010 86615 92140 101900 115175 126356 142817 157945 168020 173230 210025 230350 276149 285634 315890 346460 420050 433075 460700 537013 552298 571268 631780 714085 789725 840100 866150 1074026 1104596 1380745 1428170 1579450 1732300 2148052 2685065 2761490 2856340 3158900 3570425 4694533 5370130 5522980 6903725 7140850 8560619 9389066 10740260 13425325 13807450 14281700 17121238 18778132 23472665 26850650 27614900 34242476 42803095 46945330 53701300 85606190 93890660 117363325 145530523 171212380 214015475 234726650 291061046 428030950 469453300 582122092 727652615 856061900 1455305230 2910610460 3638263075 7276526150 14553052300