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24134442234 = 23729611572069
BaseRepresentation
bin10110011110100001…
…100101110011111010
32022021222012200202220
4112132201211303322
5343411404122414
615030500504510
71513034242230
oct263641456372
968258180686
1024134442234
11a265299731
1248166ab136
13237810ba66
14124d434950
15963beaca9
hex59e865cfa

24134442234 has 128 divisors (see below), whose sum is σ = 58399833600. Its totient is φ = 6503777280.

The previous prime is 24134442187. The next prime is 24134442247. The reversal of 24134442234 is 43224443142.

It is a junction number, because it is equal to n+sod(n) for n = 24134442195 and 24134442204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11663752 + ... + 11665820.

It is an arithmetic number, because the mean of its divisors is an integer number (456248700).

Almost surely, 224134442234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24134442234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29199916800).

24134442234 is an abundant number, since it is smaller than the sum of its proper divisors (34265391366).

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

24134442234 is a wasteful number, since it uses less digits than its factorization.

24134442234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328.

The product of its digits is 73728, while the sum is 33.

Adding to 24134442234 its reverse (43224443142), we get a palindrome (67358885376).

The spelling of 24134442234 in words is "twenty-four billion, one hundred thirty-four million, four hundred forty-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 29 42 58 61 87 122 157 174 183 203 314 366 406 427 471 609 854 942 1099 1218 1281 1769 2069 2198 2562 3297 3538 4138 4553 5307 6207 6594 9106 9577 10614 12383 12414 13659 14483 19154 24766 27318 28731 28966 31871 37149 43449 57462 60001 63742 67039 74298 86898 95613 120002 126209 134078 180003 191226 201117 252418 277733 324833 360006 378627 402234 420007 555466 649666 757254 833199 840014 883463 974499 1260021 1666398 1766926 1944131 1948998 2273831 2520042 2650389 3660061 3888262 4547662 5300778 5832393 6821493 7320122 9420157 10980183 11664786 13642986 18840314 19814813 21960366 25620427 28260471 39629626 51240854 56520942 59444439 65941099 76861281 118888878 131882198 138703691 153722562 197823297 277407382 395646594 416111073 574629577 832222146 1149259154 1723888731 3447777462 4022407039 8044814078 12067221117 24134442234