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4022143424 = 2613171991429
BaseRepresentation
bin1110111110111101…
…0000100111000000
3101101022101001111222
43233233100213000
531214132042144
61503040254212
7201446440445
oct35757204700
911338331458
104022143424
111784438982
12943011368
134c13a5630
142a22799cc
1518819b2ee
hexefbd09c0

4022143424 has 112 divisors (see below), whose sum is σ = 9153144000. Its totient is φ = 1737179136.

The previous prime is 4022143409. The next prime is 4022143507. The reversal of 4022143424 is 4243412204.

4022143424 = 55422 + 55432 + ... + 56692.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 4022143393 and 4022143402.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2813942 + ... + 2815370.

It is an arithmetic number, because the mean of its divisors is an integer number (81724500).

Almost surely, 24022143424 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 4022143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4576572000).

4022143424 is an abundant number, since it is smaller than the sum of its proper divisors (5131000576).

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

4022143424 is a wasteful number, since it uses less digits than its factorization.

4022143424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 4022143424 is about 63420.3707337004. The cubic root of 4022143424 is about 1590.3248711857.

Adding to 4022143424 its reverse (4243412204), we get a palindrome (8265555628).

The spelling of 4022143424 in words is "four billion, twenty-two million, one hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 199 208 221 272 398 416 442 544 796 832 884 1088 1429 1592 1768 2587 2858 3184 3383 3536 5174 5716 6368 6766 7072 10348 11432 12736 13532 14144 18577 20696 22864 24293 27064 37154 41392 43979 45728 48586 54128 74308 82784 87958 91456 97172 108256 148616 165568 175916 194344 216512 284371 297232 315809 351832 388688 568742 594464 631618 703664 777376 1137484 1188928 1263236 1407328 1554752 2274968 2526472 2814656 3696823 4549936 4834307 5052944 7393646 9099872 9668614 10105888 14787292 18199744 19337228 20211776 29574584 38674456 59149168 62845991 77348912 118298336 125691982 154697824 236596672 251383964 309395648 502767928 1005535856 2011071712 4022143424