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241253044242032 = 24312711319167543
BaseRepresentation
bin110110110110101100011010…
…000000001100011001110000
31011122012120021110100212111002
4312312230122000030121300
5223110142213311221112
62213034041332341132
7101546646223606334
oct6666543200143160
91148176243325432
10241253044242032
116a963929025669
12230845584747a8
13a4800ab7b5bb4
1443809d13997c4
151cd582a71e1c2
hexdb6b1a00c670

241253044242032 has 120 divisors (see below), whose sum is σ = 490169460718080. Its totient is φ = 115003241404800.

The previous prime is 241253044242019. The next prime is 241253044242083. The reversal of 241253044242032 is 230242440352142.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1439863253 + ... + 1440030795.

It is an arithmetic number, because the mean of its divisors is an integer number (4084745505984).

Almost surely, 2241253044242032 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 241253044242032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245084730359040).

241253044242032 is an abundant number, since it is smaller than the sum of its proper divisors (248916416476048).

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

241253044242032 is a wasteful number, since it uses less digits than its factorization.

241253044242032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169003 (or 168966 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 38.

Adding to 241253044242032 its reverse (230242440352142), we get a palindrome (471495484594174).

The spelling of 241253044242032 in words is "two hundred forty-one trillion, two hundred fifty-three billion, forty-four million, two hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 31 62 71 124 142 248 284 496 568 961 1136 1319 1922 2201 2638 3844 4402 5276 7688 8804 10552 15376 17608 21104 35216 40889 68231 81778 93649 136462 163556 167543 187298 272924 327112 335086 374596 545848 654224 670172 749192 1091696 1267559 1340344 1498384 2535118 2680688 2903119 5070236 5193833 5806238 10140472 10387666 11612476 11895553 20280944 20775332 23224952 23791106 41550664 46449904 47582212 83101328 89996689 95164424 161008823 179993378 190328848 220989217 322017646 359986756 368762143 441978434 644035292 719973512 737524286 883956868 1288070584 1439947024 1475048572 1767913736 2576141168 2950097144 3535827472 5900194288 6850665727 11431626433 13701331454 15690234407 22863252866 27402662908 31380468814 45726505732 54805325816 62760937628 91453011464 109610651632 125521875256 182906022928 212370637537 251043750512 424741275074 486397266617 849482550148 972794533234 1698965100296 1945589066468 3397930200592 3891178132936 7782356265872 15078315265127 30156630530254 60313261060508 120626522121016 241253044242032