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4202145112 = 2311212973347
BaseRepresentation
bin1111101001110111…
…1010010101011000
3101211212002002102011
43322131322111120
532101222120422
61532550315304
7206063433634
oct37235722530
911755062364
104202145112
111867001900
12993358b34
1351c77a1c9
142bc133dc4
15198da5077
hexfa77a558

4202145112 has 48 divisors (see below), whose sum is σ = 8669679480. Its totient is φ = 1908023040.

The previous prime is 4202145091. The next prime is 4202145113. The reversal of 4202145112 is 2115412024.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202145113) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1253823 + ... + 1257169.

Almost surely, 24202145112 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 4202145112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334839740).

4202145112 is an abundant number, since it is smaller than the sum of its proper divisors (4467534368).

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

4202145112 is a wasteful number, since it uses less digits than its factorization.

4202145112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4672 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 4202145112 is about 64823.9547698226. The cubic root of 4202145112 is about 1613.7032806352.

Adding to 4202145112 its reverse (2115412024), we get a palindrome (6317557136).

The spelling of 4202145112 in words is "four billion, two hundred two million, one hundred forty-five thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1297 2594 3347 5188 6694 10376 13388 14267 26776 28534 36817 57068 73634 114136 147268 156937 294536 313874 404987 627748 809974 1255496 1619948 3239896 4341059 8682118 17364236 34728472 47751649 95503298 191006596 382013192 525268139 1050536278 2101072556 4202145112