Search a number
-
+
1365440561425 = 521727316092
BaseRepresentation
bin10011110111101010100…
…110011000000100010001
311211112102220022102012101
4103313222212120010101
5134332410240431200
62523135202000401
7200435614162243
oct23675246300421
94745386272171
101365440561425
11487097666606
121a076b346101
139b9b6a56a35
144a132822093
15257b910626a
hex13dea998111

1365440561425 has 54 divisors (see below), whose sum is σ = 1824374010678. Its totient is φ = 1013382696960.

The previous prime is 1365440561411. The next prime is 1365440561449. The reversal of 1365440561425 is 5241650445631.

It can be written as a sum of positive squares in 27 ways, for example, as 164923707664 + 1200516853761 = 406108^2 + 1095681^2 .

It is not a de Polignac number, because 1365440561425 - 223 = 1365432172817 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 848626021 + ... + 848627629.

Almost surely, 21365440561425 is an apocalyptic number.

It is an amenable number.

1365440561425 is a deficient number, since it is larger than the sum of its proper divisors (458933449253).

1365440561425 is an frugal number, since it uses more digits than its factorization.

1365440561425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 46.

The spelling of 1365440561425 in words is "one trillion, three hundred sixty-five billion, four hundred forty million, five hundred sixty-one thousand, four hundred twenty-five".

Divisors: 1 5 17 25 73 85 289 365 425 1241 1445 1609 1825 6205 7225 8045 21097 27353 31025 40225 105485 117457 136765 465001 527425 587285 683825 1996769 2325005 2588881 2936425 9983845 11625025 12944405 33945073 44010977 49919225 64722025 169725365 188988313 220054885 748186609 848626825 944941565 1100274425 3212801321 3740933045 4724707825 16064006605 18704665225 54617622457 80320033025 273088112285 1365440561425