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1331402142 = 237597332
BaseRepresentation
bin100111101011011…
…1001010110011110
310102210021020101110
41033112321112132
510211314332032
6340040322450
744664505620
oct11726712636
93383236343
101331402142
116235a6154
12311a73426
13182ab1225
14c8b76c10
157bd447cc
hex4f5b959e

1331402142 has 48 divisors (see below), whose sum is σ = 3099012480. Its totient is φ = 373442976.

The previous prime is 1331402129. The next prime is 1331402161. The reversal of 1331402142 is 2412041331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1816008 + ... + 1816740.

It is an arithmetic number, because the mean of its divisors is an integer number (64562760).

Almost surely, 21331402142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331402142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549506240).

1331402142 is an abundant number, since it is smaller than the sum of its proper divisors (1767610338).

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

1331402142 is an frugal number, since it uses more digits than its factorization.

1331402142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1331402142 is about 36488.3836583645. The cubic root of 1331402142 is about 1100.1107717648.

Adding to 1331402142 its reverse (2412041331), we get a palindrome (3743443473).

The spelling of 1331402142 in words is "one billion, three hundred thirty-one million, four hundred two thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 59 118 177 354 413 733 826 1239 1466 2199 2478 4398 5131 10262 15393 30786 43247 86494 129741 259482 302729 537289 605458 908187 1074578 1611867 1816374 3223734 3761023 7522046 11283069 22566138 31700051 63400102 95100153 190200306 221900357 443800714 665701071 1331402142