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434323210444013 = 11732412803800677
BaseRepresentation
bin110001011000000111100000…
…0101011010001110011101101
32002221210220010022010022210202
41202300033000223101303231
5423411422413333202023
64135421154533443245
7160324550016643322
oct14260170053216355
92087726108108722
10434323210444013
11116430491570750
12408668b84a0525
1315846670146467
1479374d98a4b49
153532b240a0128
hex18b03c0ad1ced

434323210444013 has 32 divisors (see below), whose sum is σ = 482463248564352. Its totient is φ = 387675789465600.

The previous prime is 434323210444007. The next prime is 434323210444033. The reversal of 434323210444013 is 310444012323434.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-434323210444013 is a prime.

It is a super-2 number, since 2×4343232104440132 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434323210444033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 542044631 + ... + 542845307.

It is an arithmetic number, because the mean of its divisors is an integer number (15076976517636).

Almost surely, 2434323210444013 is an apocalyptic number.

It is an amenable number.

434323210444013 is a deficient number, since it is larger than the sum of its proper divisors (48140038120339).

434323210444013 is a wasteful number, since it uses less digits than its factorization.

434323210444013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803805.

The product of its (nonzero) digits is 331776, while the sum is 38.

Adding to 434323210444013 its reverse (310444012323434), we get a palindrome (744767222767447).

The spelling of 434323210444013 in words is "four hundred thirty-four trillion, three hundred twenty-three billion, two hundred ten million, four hundred forty-four thousand, thirteen".

Divisors: 1 11 73 241 803 2651 2803 17593 30833 193523 204619 675523 800677 2250809 7430753 8807447 49313179 58449421 192963157 542444969 642943631 2122594727 2244297631 14086310461 24687273941 154949415071 163833727063 540875729071 1802170997693 5949633019781 39483928222183 434323210444013