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434424211424 = 25761113281357
BaseRepresentation
bin1100101001001011011…
…00110110011111100000
31112112022202210111111022
412110211230312133200
524104200044231144
6531323254305012
743246302604310
oct6244554663740
91475282714438
10434424211424
11158269161a05
127023b958168
1331c73492708
1417052029440
15b478b3ecee
hex6525b367e0

434424211424 has 96 divisors (see below), whose sum is σ = 1002273725376. Its totient is φ = 181508382720.

The previous prime is 434424211387. The next prime is 434424211453. The reversal of 434424211424 is 424112424434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1403354 + ... + 1684710.

It is an arithmetic number, because the mean of its divisors is an integer number (10440351306).

Almost surely, 2434424211424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434424211424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501136862688).

434424211424 is an abundant number, since it is smaller than the sum of its proper divisors (567849513952).

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

434424211424 is a wasteful number, since it uses less digits than its factorization.

434424211424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281548 (or 281540 counting only the distinct ones).

The product of its digits is 98304, while the sum is 35.

Adding to 434424211424 its reverse (424112424434), we get a palindrome (858536635858).

The spelling of 434424211424 in words is "four hundred thirty-four billion, four hundred twenty-four million, two hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 112 113 122 224 226 244 427 452 488 791 854 904 976 1582 1708 1808 1952 3164 3416 3616 6328 6832 6893 12656 13664 13786 25312 27572 48251 55144 96502 110288 193004 220576 281357 386008 562714 772016 1125428 1544032 1969499 2250856 3938998 4501712 7877996 9003424 15755992 17162777 31511984 31793341 34325554 63023968 63586682 68651108 120139439 127173364 137302216 222553387 240278878 254346728 274604432 445106774 480557756 508693456 549208864 890213548 961115512 1017386912 1780427096 1922231024 1939393801 3560854192 3844462048 3878787602 7121708384 7757575204 13575756607 15515150408 27151513214 31030300816 54303026428 62060601632 108606052856 217212105712 434424211424