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24142441404 = 22317833374231
BaseRepresentation
bin10110011111000000…
…000110101110111100
32022022112021002120110
4112133000012232330
5343420431111104
615031344150020
71513162236354
oct263700065674
968275232513
1024142441404
11a269862614
124819308310
13237997c9b3
141250517b64
1596477ae89
hex59f006bbc

24142441404 has 96 divisors (see below), whose sum is σ = 60558091776. Its totient is φ = 7458877440.

The previous prime is 24142441363. The next prime is 24142441471. The reversal of 24142441404 is 40414424142.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5703969 + ... + 5708199.

It is an arithmetic number, because the mean of its divisors is an integer number (630813456).

Almost surely, 224142441404 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 24142441404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30279045888).

24142441404 is an abundant number, since it is smaller than the sum of its proper divisors (36415650372).

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

24142441404 is a wasteful number, since it uses less digits than its factorization.

24142441404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4675 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 24142441404 its reverse (40414424142), we get a palindrome (64556865546).

The spelling of 24142441404 in words is "twenty-four billion, one hundred forty-two million, four hundred forty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 12 17 34 51 68 83 102 166 204 249 332 337 498 674 996 1011 1348 1411 2022 2822 4044 4231 4233 5644 5729 8462 8466 11458 12693 16924 16932 17187 22916 25386 27971 34374 50772 55942 68748 71927 83913 111884 143854 167826 215781 287708 335652 351173 431562 475507 702346 863124 951014 1053519 1404692 1425847 1426521 1902028 2107038 2851694 2853042 4214076 4277541 5703388 5706084 5969941 8555082 11939882 17110164 17909823 23879764 24239399 35819646 48478798 71639292 72718197 96957596 118345301 145436394 236690602 290872788 355035903 473381204 710071806 1420143612 2011870117 4023740234 6035610351 8047480468 12071220702 24142441404