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14124215250 = 2325319217389
BaseRepresentation
bin11010010011101111…
…00110101111010010
31100110100012110212100
431021313212233102
5212411244342000
610253310541230
71010003564055
oct151167465722
940410173770
1014124215250
115a98829a72
1228a2207816
131441280622
1497dbaca9c
15579ebca00
hex349de6bd2

14124215250 has 144 divisors (see below), whose sum is σ = 40310089560. Its totient is φ = 3568017600.

The previous prime is 14124215243. The next prime is 14124215267. The reversal of 14124215250 is 5251242141.

It is a happy number.

14124215250 is a `hidden beast` number, since 14 + 124 + 2 + 1 + 525 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5052224241 + 9071991009 = 71079^2 + 95247^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 803556 + ... + 820944.

Almost surely, 214124215250 is an apocalyptic number.

14124215250 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 14124215250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20155044780).

14124215250 is an abundant number, since it is smaller than the sum of its proper divisors (26185874310).

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

14124215250 is a wasteful number, since it uses less digits than its factorization.

14124215250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17450 (or 17418 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 14124215250 its reverse (5251242141), we get a palindrome (19375457391).

The spelling of 14124215250 in words is "fourteen billion, one hundred twenty-four million, two hundred fifteen thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 125 150 171 190 225 250 285 342 361 375 450 475 570 722 750 855 950 1083 1125 1425 1710 1805 2166 2250 2375 2850 3249 3610 4275 4750 5415 6498 7125 8550 9025 10830 14250 16245 17389 18050 21375 27075 32490 34778 42750 45125 52167 54150 81225 86945 90250 104334 135375 156501 162450 173890 260835 270750 313002 330391 406125 434725 521670 660782 782505 812250 869450 991173 1304175 1565010 1651955 1982346 2173625 2608350 2973519 3303910 3912525 4347250 4955865 5947038 6277429 6520875 7825050 8259775 9911730 12554858 13041750 14867595 16519550 18832287 19562625 24779325 29735190 31387145 37664574 39125250 41298875 49558650 56496861 62774290 74337975 82597750 94161435 112993722 123896625 148675950 156935725 188322870 247793250 282484305 313871450 371689875 470807175 564968610 743379750 784678625 941614350 1412421525 1569357250 2354035875 2824843050 4708071750 7062107625 14124215250