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4435312135345 = 5713359977629
BaseRepresentation
bin100000010001010110100…
…1101000100110010110001
3120201000022112021102001121
41000202231031010302301
51040132004401312340
613233315415502241
7635304112052050
oct100425515046261
916630275242047
104435312135345
1114600070879a3
125b7715087981
1326232c217000
14114955260397
157a58ca3d94a
hex408ad344cb1

4435312135345 has 64 divisors (see below), whose sum is σ = 6701067072000. Its totient is φ = 2759820380928.

The previous prime is 4435312135339. The next prime is 4435312135367. The reversal of 4435312135345 is 5435312135344.

It is a de Polignac number, because none of the positive numbers 2k-4435312135345 is a prime.

It is an unprimeable number.

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, 4047991 + ... + 5025619.

It is an arithmetic number, because the mean of its divisors is an integer number (104704173000).

Almost surely, 24435312135345 is an apocalyptic number.

It is an amenable number.

4435312135345 is a deficient number, since it is larger than the sum of its proper divisors (2265754936655).

4435312135345 is an equidigital number, since it uses as much as digits as its factorization.

4435312135345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977739 (or 977713 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 43.

Subtracting 4435312135345 from its reverse (5435312135344), we obtain a palindrome (999999999999).

The spelling of 4435312135345 in words is "four trillion, four hundred thirty-five billion, three hundred twelve million, one hundred thirty-five thousand, three hundred forty-five".

Divisors: 1 5 7 13 35 59 65 91 169 295 413 455 767 845 1183 2065 2197 3835 5369 5915 9971 10985 15379 26845 49855 69797 76895 129623 348985 648115 907361 977629 4536805 4888145 6843403 12709177 34217015 57680111 63545885 88964239 165219301 288400555 403760777 444821195 749841443 826096505 1156535107 2018803885 2147850913 3749207215 5248890101 5782675535 9747938759 10739254565 15034956391 26244450505 48739693795 68235571313 75174781955 126723203867 341177856565 633616019335 887062427069 4435312135345