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444006403225 = 52711230652677
BaseRepresentation
bin1100111011000001101…
…10000000110010011001
31120110001120101021111221
412131200312000302121
524233311114400400
6535550154052041
744035615104460
oct6354066006231
91513046337457
10444006403225
11161336048490
1272074a1a021
1332b3c7449a8
14176c08ad9d7
15b839ebcc1a
hex6760d80c99

444006403225 has 24 divisors (see below), whose sum is σ = 686422369728. Its totient is φ = 276783211200.

The previous prime is 444006403219. The next prime is 444006403259. The reversal of 444006403225 is 522304600444.

It is not a de Polignac number, because 444006403225 - 27 = 444006403097 is a prime.

It is a super-2 number, since 2×4440064032252 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115324414 + ... + 115328263.

It is an arithmetic number, because the mean of its divisors is an integer number (28600932072).

Almost surely, 2444006403225 is an apocalyptic number.

It is an amenable number.

444006403225 is a deficient number, since it is larger than the sum of its proper divisors (242415966503).

444006403225 is a wasteful number, since it uses less digits than its factorization.

444006403225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230652705 (or 230652700 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

The spelling of 444006403225 in words is "four hundred forty-four billion, six million, four hundred three thousand, two hundred twenty-five".

Divisors: 1 5 7 11 25 35 55 77 175 275 385 1925 230652677 1153263385 1614568739 2537179447 5766316925 8072843695 12685897235 17760256129 40364218475 63429486175 88801280645 444006403225