Search a number
-
+
424043212311433 = 111329373291793979
BaseRepresentation
bin110000001101010100100000…
…1000010100000101110001001
32001121102010122120000012002201
41200122221001002200232021
5421040010444322431213
64101510432405000201
7155214053050365541
oct14032510102405611
92047363576005081
10424043212311433
11113127797625480
123b6864b99b3061
131527c14606bc60
14769db2dc84321
15340550c9876dd
hex181aa410a0b89

424043212311433 has 64 divisors (see below), whose sum is σ = 516919442054400. Its totient is φ = 342527886812160.

The previous prime is 424043212311421. The next prime is 424043212311451. The reversal of 424043212311433 is 334113212340424.

It is a cyclic number.

It is not a de Polignac number, because 424043212311433 - 213 = 424043212303241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 424043212311392 and 424043212311401.

It is not an unprimeable number, because it can be changed into a prime (424043212311133) 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, 4512059038 + ... + 4512153016.

It is an arithmetic number, because the mean of its divisors is an integer number (8076866282100).

Almost surely, 2424043212311433 is an apocalyptic number.

It is an amenable number.

424043212311433 is a deficient number, since it is larger than the sum of its proper divisors (92876229742967).

424043212311433 is a wasteful number, since it uses less digits than its factorization.

424043212311433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97322.

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 424043212311433 its reverse (334113212340424), we get a palindrome (758156424651857).

The spelling of 424043212311433 in words is "four hundred twenty-four trillion, forty-three billion, two hundred twelve million, three hundred eleven thousand, four hundred thirty-three".

Divisors: 1 11 13 29 143 319 373 377 2917 4103 4147 4849 10817 32087 37921 53339 84593 93979 118987 140621 417131 930523 1033769 1088041 1099709 1221727 1546831 2725391 11968451 12096799 13438997 14144533 29979301 31553189 35054167 35430083 155589863 274136743 347085079 385595837 389730913 410191457 455704171 1016570843 3015504173 3563777659 4512106027 5012745881 7949965547 11182279273 13215420959 39201554249 87449621017 102253005139 103349552111 145369630549 1124783056529 1136845073221 1329289066807 2965337149031 14622179734877 32618708639341 38549382937403 424043212311433