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20311224434334 = 235172144611221
BaseRepresentation
bin1001001111001000100110…
…10100010011111010011110
32122220201211011010212200000
410213210103110103322132
510130234341423344314
6111110503033515130
74164303035042511
oct447442324237236
978821734125600
1020311224434334
116520a3a753a49
12234054bb72aa6
13b4445669ab62
145030d5db2d78
1525351cb68209
hex127913513e9e

20311224434334 has 72 divisors (see below), whose sum is σ = 48480044508168. Its totient is φ = 6372148798080.

The previous prime is 20311224434209. The next prime is 20311224434341. The reversal of 20311224434334 is 43343442211302.

20311224434334 is a `hidden beast` number, since 2 + 0 + 31 + 12 + 244 + 343 + 34 = 666.

It is a super-3 number, since 3×203112244343343 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 72165157 + ... + 72446064.

Almost surely, 220311224434334 is an apocalyptic number.

20311224434334 is an abundant number, since it is smaller than the sum of its proper divisors (28168820073834).

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

20311224434334 is a wasteful number, since it uses less digits than its factorization.

20311224434334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144611272 (or 144611243 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 20311224434334 its reverse (43343442211302), we get a palindrome (63654666645636).

The spelling of 20311224434334 in words is "twenty trillion, three hundred eleven billion, two hundred twenty-four million, four hundred thirty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 289 306 459 486 578 867 918 1377 1734 2601 2754 4131 5202 7803 8262 15606 23409 46818 70227 140454 144611221 289222442 433833663 867667326 1301500989 2458390757 2603001978 3904502967 4916781514 7375172271 7809005934 11713508901 14750344542 22125516813 23427017802 35140526703 41792642869 44251033626 66376550439 70281053406 83585285738 125377928607 132753100878 199129651317 250755857214 376133785821 398259302634 597388953951 752267571642 1128401357463 1194777907902 2256802714926 3385204072389 6770408144778 10155612217167 20311224434334