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1383444087601 = 431227292
BaseRepresentation
bin10100001000011011101…
…100011000001100110001
311220020220121010022020011
4110020123230120030301
5140131243141300401
62535313452014521
7201644014501612
oct24103354301461
94806817108204
101383444087601
11493796137264
121a4154761441
13a05c59202c4
144ad5d8c9c09
1525ebe959451
hex1421bb18331

1383444087601 has 9 divisors (see below), whose sum is σ = 1387169689003. Its totient is φ = 1379728474960.

The previous prime is 1383444087593. The next prime is 1383444087629. The reversal of 1383444087601 is 1067804443831.

The square root of 1383444087601 is 1176199.

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

It can be written as a sum of positive squares in only one way, i.e., 1333214313201 + 50229774400 = 1154649^2 + 224120^2 .

It is not a de Polignac number, because 1383444087601 - 23 = 1383444087593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1383444087001) 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, 506940405 + ... + 506943133.

Almost surely, 21383444087601 is an apocalyptic number.

1383444087601 is the 1176199-th square number.

1383444087601 is the 588100-th centered octagonal number.

It is an amenable number.

1383444087601 is a deficient number, since it is larger than the sum of its proper divisors (3725601402).

1383444087601 is an frugal number, since it uses more digits than its factorization.

1383444087601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6320 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

Multiplying 1383444087601 by its sum of digits (49), we get a square (67788760292449 = 82333932).

The spelling of 1383444087601 in words is "one trillion, three hundred eighty-three billion, four hundred forty-four million, eighty-seven thousand, six hundred one".

Divisors: 1 431 2729 185761 1176199 7447441 506941769 3209847071 1383444087601