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4102220142 = 23231107127541
BaseRepresentation
bin1111010010000010…
…1110100101101110
3101120220001101010100
43310200232211232
531400132021032
61515020451530
7203441203326
oct36440564556
911526041110
104102220142
111815661789
129659a9ba6
13504b618c7
142acb62286
1519021797c
hexf482e96e

4102220142 has 96 divisors (see below), whose sum is σ = 9350774784. Its totient is φ = 1298203200.

The previous prime is 4102220119. The next prime is 4102220147. The reversal of 4102220142 is 2410222014.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102220147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7582392 + ... + 7582932.

It is an arithmetic number, because the mean of its divisors is an integer number (97403904).

Almost surely, 24102220142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102220142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4675387392).

4102220142 is an abundant number, since it is smaller than the sum of its proper divisors (5248554642).

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

4102220142 is a wasteful number, since it uses less digits than its factorization.

4102220142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4102220142 is about 64048.5764244608. The cubic root of 4102220142 is about 1600.8095046927.

Adding to 4102220142 its reverse (2410222014), we get a palindrome (6512442156).

It can be divided in two parts, 410222014 and 2, that multiplied together give a palindrome (820444028).

The spelling of 4102220142 in words is "four billion, one hundred two million, two hundred twenty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 107 127 186 214 254 279 321 381 541 558 642 762 963 1082 1143 1623 1926 2286 3246 3317 3937 4869 6634 7874 9738 9951 11811 13589 16771 19902 23622 27178 29853 33542 35433 40767 50313 57887 59706 68707 70866 81534 100626 115774 122301 137414 150939 173661 206121 244602 301878 347322 412242 421259 520983 618363 842518 1041966 1236726 1263777 1794497 2129917 2527554 3588994 3791331 4259834 5383491 6389751 7351649 7582662 10766982 12779502 14703298 16150473 19169253 22054947 32300946 38338506 44109894 66164841 132329682 227901119 455802238 683703357 1367406714 2051110071 4102220142