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1455400102325 = 521321729698729
BaseRepresentation
bin10101001011011100100…
…110110010100110110101
312011010122100001120212112
4111023130212302212311
5142321124411233300
63032333535100405
7210102112516241
oct25133446624665
95133570046775
101455400102325
11511260463124
121b6096671705
13a7322381500
14506281cb421
1527cd1b3ee35
hex152dc9b29b5

1455400102325 has 72 divisors (see below), whose sum is σ = 2140503456600. Its totient is φ = 976654049280.

The previous prime is 1455400102313. The next prime is 1455400102327. The reversal of 1455400102325 is 5232010045541.

It can be written as a sum of positive squares in 36 ways, for example, as 1453179619441 + 2220482884 = 1205479^2 + 47122^2 .

It is not a de Polignac number, because 1455400102325 - 24 = 1455400102309 is a prime.

It is a super-3 number, since 3×14554001023253 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1455400102291 and 1455400102300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1455400102327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1733561 + ... + 2432289.

It is an arithmetic number, because the mean of its divisors is an integer number (29729214675).

Almost surely, 21455400102325 is an apocalyptic number.

It is an amenable number.

1455400102325 is a deficient number, since it is larger than the sum of its proper divisors (685103354275).

1455400102325 is a wasteful number, since it uses less digits than its factorization.

1455400102325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698811 (or 698793 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

Adding to 1455400102325 its reverse (5232010045541), we get a palindrome (6687410147866).

The spelling of 1455400102325 in words is "one trillion, four hundred fifty-five billion, four hundred million, one hundred two thousand, three hundred twenty-five".

Divisors: 1 5 13 17 25 29 65 85 145 169 221 325 377 425 493 725 845 1105 1885 2465 2873 4225 4901 5525 6409 9425 12325 14365 24505 32045 71825 83317 122525 160225 416585 698729 2082925 3493645 9083477 11878393 17468225 20263141 45417385 59391965 101315705 118085201 154419109 227086925 263420833 296959825 344473397 506578525 590426005 772095545 1317104165 1722366985 2007448417 2952130025 3424470829 3860477725 4478154161 6585520825 8611834925 10037242085 17122354145 22390770805 50186210425 58216004093 85611770725 111953854025 291080020465 1455400102325