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24142353344 = 2617196717431
BaseRepresentation
bin10110011110111111…
…110001001111000000
32022022112002121202222
4112132333301033000
5343420420301334
615031342230212
71513161421544
oct263677611700
968275077688
1024142353344
11a26980243a
124819285368
13237994b8a5
1412504d3a24
1596475ed2e
hex59eff13c0

24142353344 has 112 divisors (see below), whose sum is σ = 54195390720. Its totient is φ = 10601902080.

The previous prime is 24142353343. The next prime is 24142353373. The reversal of 24142353344 is 44335324142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24142353343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1376309 + ... + 1393739.

Almost surely, 224142353344 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 24142353344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27097695360).

24142353344 is an abundant number, since it is smaller than the sum of its proper divisors (30053037376).

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

24142353344 is a wasteful number, since it uses less digits than its factorization.

24142353344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17546 (or 17536 counting only the distinct ones).

The product of its digits is 138240, while the sum is 35.

Adding to 24142353344 its reverse (44335324142), we get a palindrome (68477677486).

The spelling of 24142353344 in words is "twenty-four billion, one hundred forty-two million, three hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 67 68 76 134 136 152 268 272 304 323 536 544 608 646 1072 1088 1139 1216 1273 1292 2144 2278 2546 2584 4288 4556 5092 5168 9112 10184 10336 17431 18224 20368 20672 21641 34862 36448 40736 43282 69724 72896 81472 86564 139448 173128 278896 296327 331189 346256 557792 592654 662378 692512 1115584 1167877 1185308 1324756 1385024 2335754 2370616 2649512 4671508 4741232 5299024 5630213 9343016 9482464 10598048 11260426 18686032 18964928 19853909 21196096 22189663 22520852 37372064 39707818 44379326 45041704 74744128 79415636 88758652 90083408 158831272 177517304 180166816 317662544 355034608 360333632 377224271 635325088 710069216 754448542 1270650176 1420138432 1508897084 3017794168 6035588336 12071176672 24142353344