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434112122411330 = 2511711032647203873
BaseRepresentation
bin110001010110100101001101…
…0110110010101100101000010
32002221001201021012202012221012
41202231022122312111211002
5423344443111314130310
64135140204512400522
7160303365040163366
oct14255123266254502
92087051235665835
10434112122411330
11116359a0a904480
1240831a07546142
131582c79c8b92cc
14792b1d2d592a6
15352c3bc49cc05
hex18ad29ad95942

434112122411330 has 128 divisors (see below), whose sum is σ = 873171217391616. Its totient is φ = 154065581107200.

The previous prime is 434112122411299. The next prime is 434112122411351. The reversal of 434112122411330 is 33114221211434.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2129224274 + ... + 2129428146.

It is an arithmetic number, because the mean of its divisors is an integer number (6821650135872).

Almost surely, 2434112122411330 is an apocalyptic number.

434112122411330 is an abundant number, since it is smaller than the sum of its proper divisors (439059094980286).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434112122411330 is a wasteful number, since it uses less digits than its factorization.

434112122411330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206712.

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 434112122411330 its reverse (33114221211434), we get a palindrome (467226343622764).

The spelling of 434112122411330 in words is "four hundred thirty-four trillion, one hundred twelve billion, one hundred twenty-two million, four hundred eleven thousand, three hundred thirty".

Divisors: 1 2 5 10 11 22 55 71 103 110 142 206 355 515 710 781 1030 1133 1562 2266 2647 3905 5294 5665 7313 7810 11330 13235 14626 26470 29117 36565 58234 73130 80443 145585 160886 187937 203873 272641 291170 375874 402215 407746 545282 804430 939685 1019365 1363205 1879370 2038730 2067307 2242603 2726410 2999051 4134614 4485206 5998102 10336535 11213015 14474983 14995255 19357511 20673070 20998919 22426030 28949966 29990510 38715022 41997838 72374915 96787555 104994595 144749830 159224813 193575110 209989190 212932621 230988109 318449626 425865242 461976218 539651831 796124065 1064663105 1079303662 1154940545 1490923249 1592248130 2129326210 2309881090 2698259155 2981846498 5396518310 5936170141 7454616245 11872340282 14909232490 16400155739 29680850705 32800311478 38315280001 55584138593 59361701410 76630560002 82000778695 111168277186 164001557390 191576400005 277920692965 383152800010 421468080011 555841385930 611425524523 842936160022 1222851049046 2107340400055 3057127622615 3946473840103 4214680800110 6114255245230 7892947680206 19732369200515 39464738401030 43411212241133 86822424482266 217056061205665 434112122411330