[go: up one dir, main page]

Search a number
-
+
1420301142 = 234131739671
BaseRepresentation
bin101010010101000…
…0001001101010110
310122222112202220000
41110222001031112
510402044114032
6352533552130
750124234441
oct12452011526
93588482800
101420301142
116697a52a7
123377a5646
13198338ca0
14d68b8658
1584a54e7c
hex54a81356

1420301142 has 80 divisors (see below), whose sum is σ = 3629035872. Its totient is φ = 411298560.

The previous prime is 1420301119. The next prime is 1420301147. The reversal of 1420301142 is 2411030241.

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 (1420301147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15967 + ... + 55637.

Almost surely, 21420301142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1420301142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814517936).

1420301142 is an abundant number, since it is smaller than the sum of its proper divisors (2208734730).

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

1420301142 is a wasteful number, since it uses less digits than its factorization.

1420301142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39715 (or 39706 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1420301142 is about 37686.8828904700. The cubic root of 1420301142 is about 1124.0703145983.

Adding to 1420301142 its reverse (2411030241), we get a palindrome (3831331383).

The spelling of 1420301142 in words is "one billion, four hundred twenty million, three hundred one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 81 102 117 153 162 221 234 306 351 442 459 663 702 918 1053 1326 1377 1989 2106 2754 3978 5967 11934 17901 35802 39671 79342 119013 238026 357039 515723 674407 714078 1031446 1071117 1348814 1547169 2023221 2142234 3094338 3213351 4046442 4641507 6069663 6426702 8767291 9283014 12139326 13924521 17534582 18208989 26301873 27849042 36417978 41773563 52603746 54626967 78905619 83547126 109253934 157811238 236716857 473433714 710150571 1420301142