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4142103140 = 2257431136089
BaseRepresentation
bin1111011011100011…
…0111101001100100
3101200200002122022102
43312320313221210
531440334300030
61523003351232
7204434203310
oct36670675144
911620078272
104142103140
11183612243a
12977222518
135101b7106
142b4184b40
15193994c45
hexf6e37a64

4142103140 has 96 divisors (see below), whose sum is σ = 10263939840. Its totient is φ = 1374621696.

The previous prime is 4142103127. The next prime is 4142103167. The reversal of 4142103140 is 413012414.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677216 + ... + 683304.

It is an arithmetic number, because the mean of its divisors is an integer number (106916040).

Almost surely, 24142103140 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 4142103140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5131969920).

4142103140 is an abundant number, since it is smaller than the sum of its proper divisors (6121836700).

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

4142103140 is a wasteful number, since it uses less digits than its factorization.

4142103140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6261 (or 6259 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4142103140 is about 64359.1729281848. The cubic root of 4142103140 is about 1605.9806302063.

Adding to 4142103140 its reverse (413012414), we get a palindrome (4555115554).

The spelling of 4142103140 in words is "four billion, one hundred forty-two million, one hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 113 140 172 215 226 301 430 452 565 602 791 860 1130 1204 1505 1582 2260 3010 3164 3955 4859 6020 6089 7910 9718 12178 15820 19436 24295 24356 30445 34013 42623 48590 60890 68026 85246 97180 121780 136052 170065 170492 213115 261827 340130 426230 523654 680260 688057 852460 1047308 1309135 1376114 1832789 2618270 2752228 3440285 3665578 4816399 5236540 6880570 7331156 9163945 9632798 13761140 18327890 19265596 24081995 29586451 36655780 48163990 59172902 96327980 118345804 147932255 207105157 295864510 414210314 591729020 828420628 1035525785 2071051570 4142103140