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1387705204081 = 742928292
BaseRepresentation
bin10100001100011001101…
…011001111110101110001
311220122220120011110011001
4110030121223033311301
5140214010013012311
62541300350322001
7202154425420000
oct24143153176561
94818816143131
101387705204081
11495582457129
121a4b437b9301
13a0b246771c1
144b2457b0c37
152616daac4c1
hex14319acfd71

1387705204081 has 45 divisors (see below), whose sum is σ = 1678666864641. Its totient is φ = 1147060347552.

The previous prime is 1387705204069. The next prime is 1387705204097. The reversal of 1387705204081 is 1804025077831.

The square root of 1387705204081 is 1178009.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 13933677681 + 1373771526400 = 118041^2 + 1172080^2 .

It is not a de Polignac number, because 1387705204081 - 213 = 1387705195889 is a prime.

It is a super-2 number, since 2×13877052040812 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1387705204681) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1673950375 + ... + 1673951203.

Almost surely, 21387705204081 is an apocalyptic number.

1387705204081 is the 1178009-th square number.

1387705204081 is the 589005-th centered octagonal number.

It is an amenable number.

1387705204081 is a deficient number, since it is larger than the sum of its proper divisors (290961660560).

1387705204081 is an frugal number, since it uses more digits than its factorization.

1387705204081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 46.

The spelling of 1387705204081 in words is "one trillion, three hundred eighty-seven billion, seven hundred five million, two hundred four thousand, eighty-one".

Divisors: 1 7 29 49 203 343 829 841 1421 2401 5803 5887 9947 24041 40621 41209 69629 168287 284347 288463 687241 697189 1178009 1990429 2019241 4810687 4880323 8246063 19929989 33674809 34162261 57722441 139509923 235723663 239135827 577969681 976569461 1650065641 1673950789 4045787767 6835986227 28320514369 47851903589 198243600583 1387705204081