Search a number
-
+
23440432324120 = 235738951190871
BaseRepresentation
bin1010101010001101001101…
…01001000101111000011000
310001222212212000212000210121
411111012212221011320120
511033022001133332440
6121504215210523024
74636341523201000
oct525064651057030
9101885760760717
1023440432324120
117518038a57709
122766ab5436474
131010566c528c6
145b07470a1000
152a9b1590634a
hex1551a6a45e18

23440432324120 has 128 divisors (see below), whose sum is σ = 61512701184000. Its totient is φ = 8035779696000.

The previous prime is 23440432324093. The next prime is 23440432324163. The reversal of 23440432324120 is 2142323404432.

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, 122712285 + ... + 122903155.

It is an arithmetic number, because the mean of its divisors is an integer number (480567978000).

Almost surely, 223440432324120 is an apocalyptic number.

23440432324120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23440432324120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30756350592000).

23440432324120 is an abundant number, since it is smaller than the sum of its proper divisors (38072268859880).

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

23440432324120 is a wasteful number, since it uses less digits than its factorization.

23440432324120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199854 (or 199836 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 23440432324120 its reverse (2142323404432), we get a palindrome (25582755728552).

The spelling of 23440432324120 in words is "twenty-three trillion, four hundred forty billion, four hundred thirty-two million, three hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1372 1715 1960 2744 3430 6860 8951 13720 17902 35804 44755 62657 71608 89510 125314 179020 190871 250628 313285 358040 381742 438599 501256 626570 763484 877198 954355 1253140 1336097 1526968 1754396 1908710 2192995 2506280 2672194 3070193 3508792 3817420 4385990 5344388 6140386 6680485 7634840 8771980 9352679 10688776 12280772 13360970 15350965 17543960 18705358 24561544 26721940 30701930 37410716 46763395 53443880 61403860 65468753 74821432 93526790 122807720 130937506 187053580 261875012 327343765 374107160 523750024 654687530 1309375060 1708486321 2618750120 3416972642 6833945284 8542431605 11959404247 13667890568 17084863210 23918808494 34169726420 47837616988 59797021235 68339452840 83715829729 95675233976 119594042470 167431659458 239188084940 334863318916 418579148645 478376169880 586010808103 669726637832 837158297290 1172021616206 1674316594580 2344043232412 2930054040515 3348633189160 4688086464824 5860108081030 11720216162060 23440432324120