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114525213335250 = 2353793970948677
BaseRepresentation
bin11010000010100011111010…
…101010001001111011010010
3120000111111121000210100001020
4122002203322222021323102
5110002340114103212000
61043324053502220310
733060113356311354
oct3202437252117322
9500444530710036
10114525213335250
1133544963297203
1210a17906284696
134bb98b19c7133
14203d09ad010d4
15d390e4ab3ba0
hex6828faa89ed2

114525213335250 has 128 divisors (see below), whose sum is σ = 289486586188800. Its totient is φ = 30152095084800.

The previous prime is 114525213335227. The next prime is 114525213335257. The reversal of 114525213335250 is 52533312525411.

It is not an unprimeable number, because it can be changed into a prime (114525213335257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2352733912 + ... + 2352782588.

It is an arithmetic number, because the mean of its divisors is an integer number (2261613954600).

Almost surely, 2114525213335250 is an apocalyptic number.

114525213335250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114525213335250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144743293094400).

114525213335250 is an abundant number, since it is smaller than the sum of its proper divisors (174961372853550).

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

114525213335250 is a wasteful number, since it uses less digits than its factorization.

114525213335250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88485 (or 88475 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

The spelling of 114525213335250 in words is "one hundred fourteen trillion, five hundred twenty-five billion, two hundred thirteen million, three hundred thirty-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 79 125 150 158 237 250 375 395 474 750 790 1185 1975 2370 3950 5925 9875 11850 19750 29625 39709 48677 59250 79418 97354 119127 146031 198545 238254 243385 292062 397090 486770 595635 730155 992725 1191270 1216925 1460310 1985450 2433850 2978175 3137011 3650775 3845483 4963625 5956350 6084625 6274022 7301550 7690966 9411033 9927250 11536449 12169250 14890875 15685055 18253875 18822066 19227415 23072898 29781750 31370110 36507750 38454830 47055165 57682245 78425275 94110330 96137075 115364490 156850550 192274150 235275825 288411225 392126375 470551650 480685375 576822450 784252750 961370750 1176379125 1442056125 1932914993 2352758250 2884112250 3865829986 5798744979 9664574965 11597489958 19329149930 28993724895 48322874825 57987449790 96645749650 144968624475 152700284447 241614374125 289937248950 305400568894 458100853341 483228748250 724843122375 763501422235 916201706682 1449686244750 1527002844470 2290504266705 3817507111175 4581008533410 7635014222350 11452521333525 19087535555875 22905042667050 38175071111750 57262606667625 114525213335250