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4125140132112 = 243412292589893
BaseRepresentation
bin111100000001110101100…
…000110010000100010000
3112121100201002221002010000
4330001311200302010100
51020041241333211422
612435021353210000
7604013550403326
oct74016540620420
915540632832100
104125140132112
11135050a07605a
12567591100900
1323bccab96b9c
1410392d1c3d16
1572487347cac
hex3c075832110

4125140132112 has 100 divisors (see below), whose sum is σ = 11949071644620. Its totient is φ = 1373927346432.

The previous prime is 4125140132053. The next prime is 4125140132131. The reversal of 4125140132112 is 2112310415214.

4125140132112 is a `hidden beast` number, since 4 + 1 + 2 + 514 + 0 + 1 + 32 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3711001548816 + 414138583296 = 1926396^2 + 643536^2 .

It is a super-2 number, since 2×41251401321122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 297838 + ... + 2887730.

Almost surely, 24125140132112 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 4125140132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5974535822310).

4125140132112 is an abundant number, since it is smaller than the sum of its proper divisors (7823931512508).

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

4125140132112 is a wasteful number, since it uses less digits than its factorization.

4125140132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591142 (or 2591127 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 4125140132112 its reverse (2112310415214), we get a palindrome (6237450547326).

The spelling of 4125140132112 in words is "four trillion, one hundred twenty-five billion, one hundred forty million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1229 1296 2458 3687 4916 7374 9832 11061 14748 19664 22122 29496 33183 44244 58992 66366 88488 99549 132732 176976 199098 265464 398196 530928 796392 1592784 2589893 5179786 7769679 10359572 15539358 20719144 23309037 31078716 41438288 46618074 62157432 69927111 93236148 124314864 139854222 186472296 209781333 279708444 372944592 419562666 559416888 839125332 1118833776 1678250664 3182978497 3356501328 6365956994 9548935491 12731913988 19097870982 25463827976 28646806473 38195741964 50927655952 57293612946 76391483928 85940419419 114587225892 152782967856 171880838838 229174451784 257821258257 343761677676 458348903568 515642516514 687523355352 1031285033028 1375046710704 2062570066056 4125140132112