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1403620715025 = 325219241572
BaseRepresentation
bin10100011011001110010…
…100000110101000010001
311222011222202000011202100
4110123032110012220101
5140444103400340100
62552451531111013
7203260013136354
oct24331624065021
94864882004670
101403620715025
114a12aa335061
121a80458a2469
13a248ca8a9b9
144bd1542c29b
15267a0e64400
hex146ce506a11

1403620715025 has 81 divisors (see below), whose sum is σ = 2653961121201. Its totient is φ = 709027231680.

The previous prime is 1403620714999. The next prime is 1403620715033. The reversal of 1403620715025 is 5205170263041.

The square root of 1403620715025 is 1184745.

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

1403620715025 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 620 + 7 + 1 + 5 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48333582801 + 1355287132224 = 219849^2 + 1164168^2 .

It is not a de Polignac number, because 1403620715025 - 27 = 1403620714897 is a prime.

It is a super-2 number, since 2×14036207150252 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 337650247 + ... + 337654403.

Almost surely, 21403620715025 is an apocalyptic number.

1403620715025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1403620715025 is the 1184745-th square number.

1403620715025 is the 592373-rd centered octagonal number.

It is an amenable number.

1403620715025 is a deficient number, since it is larger than the sum of its proper divisors (1250340406176).

1403620715025 is an frugal number, since it uses more digits than its factorization.

1403620715025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8368 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Multiplying 1403620715025 by its sum of digits (36), we get a square (50530345740900 = 71084702).

Adding to 1403620715025 its reverse (5205170263041), we get a palindrome (6608790978066).

The spelling of 1403620715025 in words is "one trillion, four hundred three billion, six hundred twenty million, seven hundred fifteen thousand, twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 171 225 285 361 475 855 1083 1425 1805 3249 4157 4275 5415 9025 12471 16245 20785 27075 37413 62355 78983 81225 103925 187065 236949 311775 394915 710847 935325 1184745 1500677 1974575 3554235 4502031 5923725 7503385 13506093 17280649 17771175 22510155 37516925 51841947 67530465 86403245 112550775 155525841 259209735 328332331 337652325 432016225 777629205 984996993 1296048675 1641661655 2954990979 3888146025 4924984965 6238314289 8208308275 14774954895 18714942867 24624924825 31191571445 56144828601 73874774475 93574714335 155957857225 280724143005 467873571675 1403620715025