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434424404331432 = 233310775125028611
BaseRepresentation
bin110001011000110110101000…
…0010011010100101110101000
32002222011120022200021102201000
41202301231100103110232220
5423420102140002101212
64135535452145555000
7160335061501541214
oct14261552023245650
92088146280242630
10434424404331432
1111646a39a908069
124088243a045a60
13158530790ba058
14793c379303944
1535355980191dc
hex18b1b504d4ba8

434424404331432 has 128 divisors (see below), whose sum is σ = 1219634251315200. Its totient is φ = 143263763640000.

The previous prime is 434424404331377. The next prime is 434424404331451. The reversal of 434424404331432 is 234133404424434.

434424404331432 is a `hidden beast` number, since 4 + 3 + 4 + 424 + 40 + 43 + 3 + 143 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4842807 + ... + 29871417.

It is an arithmetic number, because the mean of its divisors is an integer number (9528392588400).

Almost surely, 2434424404331432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434424404331432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609817125657600).

434424404331432 is an abundant number, since it is smaller than the sum of its proper divisors (785209846983768).

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

434424404331432 is a wasteful number, since it uses less digits than its factorization.

434424404331432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25029484 (or 25029474 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 45.

Adding to 434424404331432 its reverse (234133404424434), we get a palindrome (668557808755866).

The spelling of 434424404331432 in words is "four hundred thirty-four trillion, four hundred twenty-four billion, four hundred four million, three hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 107 108 214 216 321 428 642 751 856 963 1284 1502 1926 2253 2568 2889 3004 3852 4506 5778 6008 6759 7704 9012 11556 13518 18024 20277 23112 27036 40554 54072 80357 81108 160714 162216 241071 321428 482142 642856 723213 964284 1446426 1928568 2169639 2892852 4339278 5785704 8678556 17357112 25028611 50057222 75085833 100114444 150171666 200228888 225257499 300343332 450514998 600686664 675772497 901029996 1351544994 1802059992 2678061377 2703089988 5356122754 5406179976 8034184131 10712245508 16068368262 18796486861 21424491016 24102552393 32136736524 37592973722 48205104786 56389460583 64273473048 72307657179 75185947444 96410209572 112778921166 144615314358 150371894888 169168381749 192820419144 225557842332 289230628716 338336763498 451115684664 507505145247 578461257432 676673526996 1015010290494 1353347053992 2011224094127 2030020580988 4022448188254 4060041161976 6033672282381 8044896376508 12067344564762 16089792753016 18101016847143 24134689129524 36202033694286 48269378259048 54303050541429 72404067388572 108606101082858 144808134777144 217212202165716 434424404331432