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243942149025 = 325219217332
BaseRepresentation
bin1110001100110000010…
…1011100101110100001
3212022122202012010211100
43203030011130232201
512444043142232100
6304022050505013
723424054024441
oct3431405345641
9768582163740
10243942149025
1194500a90143
123b33b895169
131a0080193a3
14bb42064121
15652b0a5400
hex38cc15cba1

243942149025 has 81 divisors (see below), whose sum is σ = 461400246489. Its totient is φ = 123183858240.

The previous prime is 243942148973. The next prime is 243942149041. The reversal of 243942149025 is 520941249342.

The square root of 243942149025 is 493905.

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

243942149025 is a `hidden beast` number, since 24 + 394 + 214 + 9 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9422779041 + 234519369984 = 97071^2 + 484272^2 .

It is not a de Polignac number, because 243942149025 - 217 = 243942017953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 140762059 + ... + 140763791.

Almost surely, 2243942149025 is an apocalyptic number.

243942149025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

243942149025 is the 493905-th square number.

243942149025 is the 246953-rd centered octagonal number.

It is an amenable number.

243942149025 is a deficient number, since it is larger than the sum of its proper divisors (217458097464).

243942149025 is an equidigital number, since it uses as much as digits as its factorization.

243942149025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 243942149025 in words is "two hundred forty-three billion, nine hundred forty-two million, one hundred forty-nine thousand, twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 171 225 285 361 475 855 1083 1425 1733 1805 3249 4275 5199 5415 8665 9025 15597 16245 25995 27075 32927 43325 77985 81225 98781 129975 164635 296343 389925 493905 625613 823175 1481715 1876839 2469525 3003289 3128065 5630517 7408575 9009867 9384195 15016445 15640325 27029601 28152585 45049335 46920975 57062491 75082225 135148005 140762925 171187473 225246675 285312455 513562419 675740025 855937365 1084187329 1426562275 2567812095 3252561987 4279686825 5420936645 9757685961 12839060475 16262809935 27104683225 48788429805 81314049675 243942149025