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4434230342322 = 2321131372527701
BaseRepresentation
bin100000010000110110010…
…1110010111001010110010
3120200220112010200122000100
41000201230232113022302
51040122300431423242
613233020213133230
7635235235006404
oct100415456271262
916626463618010
104434230342322
11145a601478880
125b747292a216
132621b906c5b1
14114891700b74
157a527aa254c
hex4086cb972b2

4434230342322 has 144 divisors (see below), whose sum is σ = 11119331268864. Its totient is φ = 1265213520000.

The previous prime is 4434230342309. The next prime is 4434230342323. The reversal of 4434230342322 is 2232430324344.

4434230342322 is a `hidden beast` number, since 4 + 4 + 342 + 303 + 4 + 2 + 3 + 2 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (4434230342323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8139072 + ... + 8666772.

It is an arithmetic number, because the mean of its divisors is an integer number (77217578256).

Almost surely, 24434230342322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4434230342322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5559665634432).

4434230342322 is an abundant number, since it is smaller than the sum of its proper divisors (6685100926542).

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

4434230342322 is a wasteful number, since it uses less digits than its factorization.

4434230342322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527825 (or 527785 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 4434230342322 its reverse (2232430324344), we get a palindrome (6666660666666).

The spelling of 4434230342322 in words is "four trillion, four hundred thirty-four billion, two hundred thirty million, three hundred forty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 31 33 37 62 66 74 93 99 111 186 198 222 279 333 341 407 558 666 682 814 1023 1147 1221 1369 2046 2294 2442 2738 3069 3441 3663 4107 6138 6882 7326 8214 10323 12321 12617 15059 20646 24642 25234 30118 37851 42439 45177 75702 84878 90354 113553 127317 135531 227106 254634 271062 381951 466829 527701 763902 933658 1055402 1400487 1583103 2800974 3166206 4201461 4749309 5804711 8402922 9498618 11609422 16358731 17414133 19524937 32717462 34828266 39049874 49076193 52242399 58574811 98152386 104484798 117149622 147228579 175724433 179946041 214774307 294457158 351448866 359892082 429548614 539838123 605273047 644322921 722422669 1079676246 1210546094 1288645842 1444845338 1619514369 1815819141 1932968763 2167268007 3239028738 3631638282 3865937526 4334536014 5447457423 6501804021 6658003517 7946649359 10894914846 13003608042 13316007034 15893298718 19974010551 22395102739 23839948077 39948021102 44790205478 47679896154 59922031653 67185308217 71519844231 119844063306 134370616434 143039688462 201555924651 246346130129 403111849302 492692260258 739038390387 1478076780774 2217115171161 4434230342322