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240340505103225 = 32529628111094401
BaseRepresentation
bin110110101001011010100010…
…011011101000101101111001
31011111222022212000222112111100
4312221122202123220231321
5223000214323301300400
62211054523115522013
7101424012524114652
oct6651324233505571
91144868760875440
10240340505103225
116a64192151523a
1222b57724a59309
13a415021288637
14434c784932529
151cbbc1c477100
hexda96a26e8b79

240340505103225 has 36 divisors (see below), whose sum is σ = 430481058985692. Its totient is φ = 128180259840000.

The previous prime is 240340505103211. The next prime is 240340505103301. The reversal of 240340505103225 is 522301505043042.

240340505103225 is a `hidden beast` number, since 2 + 4 + 0 + 3 + 40 + 50 + 510 + 32 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 53833520659689 + 186506984443536 = 7337133^2 + 13656756^2 .

It is not a de Polignac number, because 240340505103225 - 26 = 240340505103161 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 240340505103225.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16116025 + ... + 27210425.

It is an arithmetic number, because the mean of its divisors is an integer number (11957807194047).

Almost surely, 2240340505103225 is an apocalyptic number.

240340505103225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

240340505103225 is a deficient number, since it is larger than the sum of its proper divisors (190140553882467).

240340505103225 is a wasteful number, since it uses less digits than its factorization.

240340505103225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11190698 (or 11190690 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 240340505103225 in words is "two hundred forty trillion, three hundred forty billion, five hundred five million, one hundred three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 96281 288843 481405 866529 1444215 2407025 4332645 7221075 11094401 21663225 33283203 55472005 99849609 166416015 277360025 499248045 832080075 2496240225 1068180022681 3204540068043 5340900113405 9613620204129 16022700340215 26704500567025 48068101020645 80113501701075 240340505103225