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1435000347225 = 3252798612
BaseRepresentation
bin10100111000011100101…
…011111001101001011001
312002011222122022122201100
4110320130223321221121
5142002340042102400
63015121405342013
7205450434460464
oct24703453715131
95064878278640
101435000347225
11503642316195
121b2142867909
13a5420c1c8c3
144d650ba62db
15274dac5d100
hex14e1caf9a59

1435000347225 has 27 divisors (see below), whose sum is σ = 2570277250749. Its totient is φ = 765323935200.

The previous prime is 1435000347191. The next prime is 1435000347239. The reversal of 1435000347225 is 5227430005341.

The square root of 1435000347225 is 1197915.

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

1435000347225 is a `hidden beast` number, since 1 + 43 + 50 + 0 + 0 + 347 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 250229052441 + 1184771294784 = 500229^2 + 1088472^2 .

It is not a de Polignac number, because 1435000347225 - 29 = 1435000346713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1435000347225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17928795 + ... + 18008655.

Almost surely, 21435000347225 is an apocalyptic number.

1435000347225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1435000347225 is the 1197915-th square number.

1435000347225 is the 598958-th centered octagonal number.

It is an amenable number.

1435000347225 is a deficient number, since it is larger than the sum of its proper divisors (1135276903524).

1435000347225 is an frugal number, since it uses more digits than its factorization.

1435000347225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159738 (or 79869 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Multiplying 1435000347225 by its sum of digits (36), we get a square (51660012500100 = 71874902).

It can be divided in two parts, 1435000 and 347225, that added together give a square (1782225 = 13352).

The spelling of 1435000347225 in words is "one trillion, four hundred thirty-five billion, three hundred forty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 79861 239583 399305 718749 1197915 1996525 3593745 5989575 17968725 6377779321 19133337963 31888896605 57400013889 95666689815 159444483025 287000069445 478333449075 1435000347225