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1337144142 = 23311132563
BaseRepresentation
bin100111110110011…
…0011001101001110
310110012001221221010
41033230303031032
510214302103032
6340403350050
745064352265
oct11754631516
93405057833
101337144142
11626868204
12313982326
13184041969
14c982d5dc
157c5caccc
hex4fb3334e

1337144142 has 48 divisors (see below), whose sum is σ = 2790148608. Its totient is φ = 426760320.

The previous prime is 1337144101. The next prime is 1337144183. The reversal of 1337144142 is 2414417331.

It is an interprime number because it is at equal distance from previous prime (1337144101) and next prime (1337144183).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2374753 + ... + 2375315.

It is an arithmetic number, because the mean of its divisors is an integer number (58128096).

Almost surely, 21337144142 is an apocalyptic number.

1337144142 is an abundant number, since it is smaller than the sum of its proper divisors (1453004466).

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

1337144142 is a wasteful number, since it uses less digits than its factorization.

1337144142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 712 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 1337144142 is about 36566.9815817494. The cubic root of 1337144142 is about 1101.6900033075.

The spelling of 1337144142 in words is "one billion, three hundred thirty-seven million, one hundred forty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 31 62 93 113 186 226 339 563 678 1126 1689 3378 3503 7006 10509 12769 17453 21018 25538 34906 38307 52359 63619 76614 104718 127238 190857 381714 395839 791678 1187517 1972189 2375034 3944378 5916567 7188947 11833134 14377894 21566841 43133682 222857357 445714714 668572071 1337144142