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1342142233000 = 23531891770949
BaseRepresentation
bin10011100001111101111…
…010010011100110101000
311202022022012101200221121
4103201331322103212220
5133442201402424000
62504323245545024
7165652351514422
oct23417572234650
94668265350847
101342142233000
11478221334628
12198148875174
1399742c3389a
1448d62477812
1524da3a17b1a
hex1387de939a8

1342142233000 has 64 divisors (see below), whose sum is σ = 3140823114000. Its totient is φ = 536820947200.

The previous prime is 1342142232953. The next prime is 1342142233021. The reversal of 1342142233000 is 3322412431.

It can be written as a sum of positive squares in 8 ways, for example, as 277436065284 + 1064706167716 = 526722^2 + 1031846^2 .

It is a super-3 number, since 3×13421422330003 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18881526 + ... + 18952474.

Almost surely, 21342142233000 is an apocalyptic number.

1342142233000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1342142233000 is an abundant number, since it is smaller than the sum of its proper divisors (1798680881000).

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

1342142233000 is a wasteful number, since it uses less digits than its factorization.

1342142233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89887 (or 89873 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 1342142233000 its reverse (3322412431), we get a palindrome (1345464645431).

The spelling of 1342142233000 in words is "one trillion, three hundred forty-two billion, one hundred forty-two million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 18917 37834 70949 75668 94585 141898 151336 189170 283796 354745 378340 472925 567592 709490 756680 945850 1418980 1773725 1891700 2364625 2837960 3547450 3783400 4729250 7094900 8868625 9458500 14189800 17737250 18917000 35474500 70949000 1342142233 2684284466 5368568932 6710711165 10737137864 13421422330 26842844660 33553555825 53685689320 67107111650 134214223300 167767779125 268428446600 335535558250 671071116500 1342142233000