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114030504525200 = 2452619748179189
BaseRepresentation
bin11001111011010111001011…
…101101110011110110010000
3112221202012122220212220212212
4121323113023231303312100
5104421233433124301300
61042304520211411252
733006301126643534
oct3173271355636620
9487665586786785
10114030504525200
113337407a04306a
1210957a612b3b28
134b82051b3c9b3
14202316a6dbbc4
15d2b2dd755935
hex67b5cbb73d90

114030504525200 has 120 divisors (see below), whose sum is σ = 281320024860840. Its totient is φ = 44401939660800.

The previous prime is 114030504525199. The next prime is 114030504525221. The reversal of 114030504525200 is 2525405030411.

It can be written as a sum of positive squares in 12 ways, for example, as 85119149808016 + 28911354717184 = 9226004^2 + 5376928^2 .

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, 21722795 + ... + 26456394.

It is an arithmetic number, because the mean of its divisors is an integer number (2344333540507).

Almost surely, 2114030504525200 is an apocalyptic number.

114030504525200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114030504525200 is an abundant number, since it is smaller than the sum of its proper divisors (167289520335640).

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

114030504525200 is a wasteful number, since it uses less digits than its factorization.

114030504525200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48179365 (or 48179354 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

Adding to 114030504525200 its reverse (2525405030411), we get a palindrome (116555909555611).

The spelling of 114030504525200 in words is "one hundred fourteen trillion, thirty billion, five hundred four million, five hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 97 100 122 194 200 244 305 388 400 485 488 610 776 970 976 1220 1525 1552 1940 2425 2440 3050 3880 4850 4880 5917 6100 7760 9700 11834 12200 19400 23668 24400 29585 38800 47336 59170 94672 118340 147925 236680 295850 473360 591700 1183400 2366800 48179189 96358378 192716756 240895945 385433512 481791890 770867024 963583780 1204479725 1927167560 2408959450 2938930529 3854335120 4673381333 4817918900 5877861058 9346762666 9635837800 11755722116 14694652645 18693525332 19271675600 23366906665 23511444232 29389305290 37387050664 46733813330 47022888464 58778610580 73473263225 74774101328 93467626660 116834533325 117557221160 146946526450 186935253320 233669066650 235114442320 285076261313 293893052900 373870506640 467338133300 570152522626 587786105800 934676266600 1140305045252 1175572211600 1425381306565 1869352533200 2280610090504 2850762613130 4561220181008 5701525226260 7126906532825 11403050452520 14253813065650 22806100905040 28507626131300 57015252262600 114030504525200