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138142004 = 227111334501
BaseRepresentation
bin10000011101111…
…10000100110100
3100121221100012112
420032332010310
5240331021004
621412510152
73265121240
oct1016760464
9317840175
10138142004
1170a83150
123a31b358
1322809740
14144bd420
15c1dae6e
hex83be134

138142004 has 48 divisors (see below), whose sum is σ = 324594816. Its totient is φ = 49680000.

The previous prime is 138142001. The next prime is 138142013. The reversal of 138142004 is 400241831.

138142004 = 9112 + 9122 + ... + 10532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138142001) 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 15 ways as a sum of consecutive naturals, for example, 13247 + ... + 21254.

It is an arithmetic number, because the mean of its divisors is an integer number (6762392).

Almost surely, 2138142004 is an apocalyptic number.

138142004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

138142004 is an abundant number, since it is smaller than the sum of its proper divisors (186452812).

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

138142004 is a wasteful number, since it uses less digits than its factorization.

138142004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34536 (or 34534 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 138142004 is about 11753.3826620254. The cubic root of 138142004 is about 516.9421173383.

Adding to 138142004 its reverse (400241831), we get a palindrome (538383835).

The spelling of 138142004 in words is "one hundred thirty-eight million, one hundred forty-two thousand, four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 34501 69002 138004 241507 379511 448513 483014 759022 897026 966028 1518044 1794052 2656577 3139591 4933643 5313154 6279182 9867286 10626308 12558364 19734572 34535501 69071002 138142004