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4130112140224 = 26719370168141
BaseRepresentation
bin111100000110011101110…
…111011111001111000000
3112121211112121122021000121
4330012131313133033000
51020131432201441344
612441203004430024
7604251012644650
oct74063567371700
915554477567017
104130112140224
1113526306a4374
1256853a248314
1323c610ca4815
14103c8167a360
1572678ac0684
hex3c19dddf3c0

4130112140224 has 112 divisors (see below), whose sum is σ = 9428604659136. Its totient is φ = 1758339072000.

The previous prime is 4130112140213. The next prime is 4130112140227. The reversal of 4130112140224 is 4220412110314.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130112140227) 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, 60577194 + ... + 60645334.

Almost surely, 24130112140224 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 4130112140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4714302329568).

4130112140224 is an abundant number, since it is smaller than the sum of its proper divisors (5298492518912).

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

4130112140224 is a wasteful number, since it uses less digits than its factorization.

4130112140224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69054 (or 69044 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 4130112140224 its reverse (4220412110314), we get a palindrome (8350524250538).

The spelling of 4130112140224 in words is "four trillion, one hundred thirty billion, one hundred twelve million, one hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 193 224 386 448 701 772 1351 1402 1544 2702 2804 3088 4907 5404 5608 6176 9814 10808 11216 12352 19628 21616 22432 39256 43232 44864 68141 78512 86464 135293 136282 157024 270586 272564 314048 476987 541172 545128 947051 953974 1082344 1090256 1894102 1907948 2164688 2180512 3788204 3815896 4329376 4361024 7576408 7631792 8658752 13151213 15152816 15263584 26302426 30305632 30527168 47766841 52604852 60611264 92058491 95533682 105209704 184116982 191067364 210419408 334367887 368233964 382134728 420838816 668735774 736467928 764269456 841677632 1337471548 1472935856 1528538912 2674943096 2945871712 3057077824 5349886192 5891743424 9219000313 10699772384 18438000626 21399544768 36876001252 64533002191 73752002504 129066004382 147504005008 258132008764 295008010016 516264017528 590016020032 1032528035056 2065056070112 4130112140224