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114030504524224 = 2641611697419803
BaseRepresentation
bin11001111011010111001011…
…101101110011100111000000
3112221202012122220212212112201
4121323113023231303213000
5104421233433124233344
61042304520211402544
733006301126640641
oct3173271355634700
9487665586785481
10114030504524224
113337407a042362
1210957a612b3454
134b82051b3c412
14202316a6db6c8
15d2b2dd7554d4
hex67b5cbb739c0

114030504524224 has 112 divisors (see below), whose sum is σ = 235737655011936. Its totient is φ = 54680385945600.

The previous prime is 114030504524221. The next prime is 114030504524297. The reversal of 114030504524224 is 422425405030411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114030504524221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271418707 + ... + 271838509.

It is an arithmetic number, because the mean of its divisors is an integer number (2104800491178).

Almost surely, 2114030504524224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114030504524224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117868827505968).

114030504524224 is an abundant number, since it is smaller than the sum of its proper divisors (121707150487712).

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

114030504524224 is a wasteful number, since it uses less digits than its factorization.

114030504524224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421614 (or 421604 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 37.

Adding to 114030504524224 its reverse (422425405030411), we get a palindrome (536455909554635).

The spelling of 114030504524224 in words is "one hundred fourteen trillion, thirty billion, five hundred four million, five hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 61 64 82 122 164 244 328 488 656 976 1312 1697 1952 2501 2624 3394 3904 5002 6788 10004 13576 20008 27152 40016 54304 69577 80032 103517 108608 139154 160064 207034 278308 414068 419803 556616 828136 839606 1113232 1656272 1679212 2226464 3312544 3358424 4244197 4452928 6625088 6716848 8488394 13433696 16976788 17211923 25607983 26867392 33953576 34423846 51215966 67907152 68847692 102431932 135814304 137695384 204863864 271628608 275390768 409727728 550781536 712405691 819455456 1049927303 1101563072 1424811382 1638910912 2099854606 2849622764 4199709212 5699245528 8399418424 11398491056 16798836848 22796982112 29208633331 33597673696 43456747151 45593964224 58417266662 67195347392 86913494302 116834533324 173826988604 233669066648 347653977208 467338133296 695307954416 934676266592 1390615908832 1781726633191 1869352533184 2781231817664 3563453266382 7126906532764 14253813065528 28507626131056 57015252262112 114030504524224