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1380270172801 = 132903732
BaseRepresentation
bin10100000101011110100…
…000110110101010000001
311212221201101211201122011
4110011132200312222001
5140103243131012201
62534030512012521
7201502244613652
oct24053640665201
94787641751564
101380270172801
11492407590083
121a3609831141
13a020b1b5900
144ab3c171529
1525d85eb0151
hex1415e836a81

1380270172801 has 9 divisors (see below), whose sum is σ = 1494628619049. Its totient is φ = 1274081445936.

The previous prime is 1380270172783. The next prime is 1380270172817. The reversal of 1380270172801 is 1082710720831.

The square root of 1380270172801 is 1174849.

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 1122856003201 + 257414169600 = 1059649^2 + 507360^2 .

It is not a de Polignac number, because 1380270172801 - 215 = 1380270140033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1380270172871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15227851 + ... + 15318223.

It is an arithmetic number, because the mean of its divisors is an integer number (166069846561).

Almost surely, 21380270172801 is an apocalyptic number.

1380270172801 is the 1174849-th square number.

1380270172801 is the 587425-th centered octagonal number.

It is an amenable number.

1380270172801 is a deficient number, since it is larger than the sum of its proper divisors (114358446248).

1380270172801 is an frugal number, since it uses more digits than its factorization.

1380270172801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180772 (or 90386 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 40.

The spelling of 1380270172801 in words is "one trillion, three hundred eighty billion, two hundred seventy million, one hundred seventy-two thousand, eight hundred one".

Divisors: 1 13 169 90373 1174849 15273037 8167279129 106174628677 1380270172801