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4434314414110 = 2572973101296269
BaseRepresentation
bin100000010000111000110…
…1111000100100000011110
3120200220201222212220211021
41000201301233010200132
51040122433442222420
613233032415114354
7635240305421560
oct100416157044036
916626658786737
104434314414110
11145a644980199
125b7496b129ba
132622005c7109
1411489c947330
157a53015c7aa
hex40871bc481e

4434314414110 has 128 divisors (see below), whose sum is σ = 9660582547200. Its totient is φ = 1433463091200.

The previous prime is 4434314414093. The next prime is 4434314414111. The reversal of 4434314414110 is 114144134344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4434314414111) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 14819056 + ... + 15115324.

It is an arithmetic number, because the mean of its divisors is an integer number (75473301150).

Almost surely, 24434314414110 is an apocalyptic number.

4434314414110 is an abundant number, since it is smaller than the sum of its proper divisors (5226268133090).

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

4434314414110 is a wasteful number, since it uses less digits than its factorization.

4434314414110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296486.

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 4434314414110 its reverse (114144134344), we get a palindrome (4548458548454).

The spelling of 4434314414110 in words is "four trillion, four hundred thirty-four billion, three hundred fourteen million, four hundred fourteen thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 29 35 58 70 73 101 145 146 202 203 290 365 406 505 511 707 730 1010 1015 1022 1414 2030 2117 2555 2929 3535 4234 5110 5858 7070 7373 10585 14645 14746 14819 20503 21170 29290 29638 36865 41006 51611 73730 74095 102515 103222 148190 205030 213817 258055 296269 427634 516110 592538 1069085 1481345 1496719 2073883 2138170 2962690 2993438 4147766 7483595 8591801 10369415 14967190 17183602 20738830 21627637 29923169 42959005 43255274 59846338 60142607 85918010 108138185 120285214 149615845 151393459 209462183 216276370 299231690 300713035 302786918 418924366 601426070 627201473 756967295 867771901 1047310915 1254402946 1513934590 1735543802 2094621830 2184391337 3136007365 4338859505 4368782674 4390410311 6074403307 6272014730 8677719010 8780820622 10921956685 12148806614 15290739359 21843913370 21952051555 30372016535 30581478718 43904103110 60744033070 63347348773 76453696795 126694697546 152907393590 316736743865 443431441411 633473487730 886862882822 2217157207055 4434314414110