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114532341200 = 24521638772003
BaseRepresentation
bin110101010101010101…
…0001101010111010000
3101221121221210202122222
41222222222031113100
53334030234404300
6124340533320212
711163134560124
oct1525252152720
9357557722588
10114532341200
1144633580142
121a244796068
13aa534b81c4
14578710b584
152ea4e73785
hex1aaaa8d5d0

114532341200 has 120 divisors (see below), whose sum is σ = 277306129248. Its totient is φ = 45457251840.

The previous prime is 114532341113. The next prime is 114532341239. The reversal of 114532341200 is 2143235411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 114532341200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57179399 + ... + 57181401.

Almost surely, 2114532341200 is an apocalyptic number.

114532341200 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 114532341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138653064624).

114532341200 is an abundant number, since it is smaller than the sum of its proper divisors (162773788048).

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

114532341200 is a wasteful number, since it uses less digits than its factorization.

114532341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 114532341200 its reverse (2143235411), we get a palindrome (116675576611).

The spelling of 114532341200 in words is "one hundred fourteen billion, five hundred thirty-two million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 163 200 326 400 652 815 877 1304 1630 1754 2003 2608 3260 3508 4006 4075 4385 6520 7016 8012 8150 8770 10015 13040 14032 16024 16300 17540 20030 21925 32048 32600 35080 40060 43850 50075 65200 70160 80120 87700 100150 142951 160240 175400 200300 285902 326489 350800 400600 571804 652978 714755 801200 1143608 1305956 1429510 1632445 1756631 2287216 2611912 2859020 3264890 3513262 3573775 5223824 5718040 6529780 7026524 7147550 8162225 8783155 11436080 13059560 14053048 14295100 16324450 17566310 26119120 28106096 28590200 32648900 35132620 43915775 57180400 65297800 70265240 87831550 130595600 140530480 175663100 286330853 351326200 572661706 702652400 1145323412 1431654265 2290646824 2863308530 4581293648 5726617060 7158271325 11453234120 14316542650 22906468240 28633085300 57266170600 114532341200