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34145146326025 = 527971200942453
BaseRepresentation
bin1111100001110000010010…
…10100010100110000001001
311110220020120221210210022001
413300320021110110300021
513433413224424413100
6200342021430431001
710122622361664520
oct760701124246011
9143806527723261
1034145146326025
11a974969a36769
1239b5684502461
131608b4806c0a7
148608c35c94b7
153e32d86b2d6a
hex1f0e09514c09

34145146326025 has 24 divisors (see below), whose sum is σ = 48438384191424. Its totient is φ = 23389701412800.

The previous prime is 34145146325837. The next prime is 34145146326047. The reversal of 34145146326025 is 52062364154143.

It is not a de Polignac number, because 34145146326025 - 237 = 34007707372553 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100301302 + ... + 100641151.

It is an arithmetic number, because the mean of its divisors is an integer number (2018266007976).

Almost surely, 234145146326025 is an apocalyptic number.

34145146326025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34145146326025 is a deficient number, since it is larger than the sum of its proper divisors (14293237865399).

34145146326025 is a wasteful number, since it uses less digits than its factorization.

34145146326025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200943441 (or 200943436 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 46.

The spelling of 34145146326025 in words is "thirty-four trillion, one hundred forty-five billion, one hundred forty-six million, three hundred twenty-six thousand, twenty-five".

Divisors: 1 5 7 25 35 175 971 4855 6797 24275 33985 169925 200942453 1004712265 1406597171 5023561325 7032985855 35164929275 195115121863 975575609315 1365805853041 4877878046575 6829029265205 34145146326025