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434120021434 = 2111011075693209
BaseRepresentation
bin1100101000100111001…
…00011101010110111010
31112111112120102001021101
412110103210131112322
524103034211141214
6531233150402014
743235620204111
oct6242344352672
91474476361241
10434120021434
11158122486520
1270175b0030a
1331c25458738
1417023884c78
15b45c0a4774
hex651391d5ba

434120021434 has 64 divisors (see below), whose sum is σ = 725615107200. Its totient is φ = 193147264000.

The previous prime is 434120021381. The next prime is 434120021437.

434120021434 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (434120021437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135280422 + ... + 135283630.

It is an arithmetic number, because the mean of its divisors is an integer number (11337736050).

Almost surely, 2434120021434 is an apocalyptic number.

434120021434 is a deficient number, since it is larger than the sum of its proper divisors (291495085766).

434120021434 is a wasteful number, since it uses less digits than its factorization.

434120021434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3999.

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 4341200 and 21434, that added together give a palindrome (4362634).

The spelling of 434120021434 in words is "four hundred thirty-four billion, one hundred twenty million, twenty-one thousand, four hundred thirty-four".

Divisors: 1 2 11 22 101 107 202 214 569 1111 1138 1177 2222 2354 3209 6259 6418 10807 12518 21614 35299 57469 60883 70598 114938 118877 121766 237754 324109 343363 632159 648218 669713 686726 1264318 1339426 1825921 3565199 3651842 3776993 6149183 7130398 7553986 12298366 20085131 34679663 40170262 67641013 69359326 135282026 184418021 195373547 368836042 381476293 390747094 762952586 2028598231 2149109017 4057196462 4298218034 19732728247 39465456494 217060010717 434120021434