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138031518040 = 23513283937969
BaseRepresentation
bin1000000010001101010…
…0011101000101011000
3111012021122122122010221
42000203110131011120
54230142032034130
6143224422245424
712654356354563
oct2004324350530
9435248578127
10138031518040
11535a2214549
1222902586874
1310029b01880
1469760194da
1538cced787a
hex202351d158

138031518040 has 64 divisors (see below), whose sum is σ = 335643184800. Its totient is φ = 50785339392.

The previous prime is 138031518019. The next prime is 138031518103. The reversal of 138031518040 is 40815130831.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 138031517987 and 138031518005.

It is a congruent number.

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, 321825 + ... + 616144.

Almost surely, 2138031518040 is an apocalyptic number.

138031518040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138031518040 is an abundant number, since it is smaller than the sum of its proper divisors (197611666760).

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

138031518040 is a wasteful number, since it uses less digits than its factorization.

138031518040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938276 (or 938272 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

Adding to 138031518040 its reverse (40815130831), we get a palindrome (178846648871).

The spelling of 138031518040 in words is "one hundred thirty-eight billion, thirty-one million, five hundred eighteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 283 520 566 1132 1415 2264 2830 3679 5660 7358 11320 14716 18395 29432 36790 73580 147160 937969 1875938 3751876 4689845 7503752 9379690 12193597 18759380 24387194 37518760 48774388 60967985 97548776 121935970 243871940 265445227 487743880 530890454 1061780908 1327226135 2123561816 2654452270 3450787951 5308904540 6901575902 10617809080 13803151804 17253939755 27606303608 34507879510 69015759020 138031518040