Search a number
-
+
130344123333424 = 247111364312656873
BaseRepresentation
bin11101101000110000011011…
…001010110111101100110000
3122002111202222001202220010011
4131220300123022313230300
5114041024231033132144
61141115132535144304
736312023612605150
oct3550603312675460
9562452861686104
10130344123333424
11385936a5614a40
1212751693215094
1357965237aacc0
142428991368760
15101083a727a34
hex768c1b2b7b30

130344123333424 has 160 divisors (see below), whose sum is σ = 339604382928384. Its totient is φ = 46804100106240.

The previous prime is 130344123333419. The next prime is 130344123333481. The reversal of 130344123333424 is 424333321443031.

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, 3969852 + ... + 16626724.

Almost surely, 2130344123333424 is an apocalyptic number.

130344123333424 is a gapful number since it is divisible by the number (14) 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 130344123333424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169802191464192).

130344123333424 is an abundant number, since it is smaller than the sum of its proper divisors (209260259594960).

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

130344123333424 is a wasteful number, since it uses less digits than its factorization.

130344123333424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12657555 (or 12657549 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 40.

Adding to 130344123333424 its reverse (424333321443031), we get a palindrome (554677444776455).

The spelling of 130344123333424 in words is "one hundred thirty trillion, three hundred forty-four billion, one hundred twenty-three million, three hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 643 728 1001 1144 1232 1286 1456 2002 2288 2572 4004 4501 5144 7073 8008 8359 9002 10288 14146 16016 16718 18004 28292 33436 36008 49511 56584 58513 66872 72016 91949 99022 113168 117026 133744 183898 198044 234052 367796 396088 468104 643643 735592 792176 936208 1287286 1471184 2574572 5149144 10298288 12656873 25313746 50627492 88598111 101254984 139225603 164539349 177196222 202509968 278451206 329078698 354392444 556902412 658157396 708784888 974579221 1113804824 1151775443 1316314792 1417569776 1809932839 1949158442 2227609648 2303550886 2632629584 3619865678 3898316884 4607101772 7239731356 7796633768 8138369339 9214203544 12669529873 14479462712 15593267536 16276738678 18428407088 25339059746 28958925424 32553477356 50678119492 56968585373 65106954712 89522062729 101356238984 105798801407 113937170746 130213909424 179044125458 202712477968 211597602814 227874341492 358088250916 423195205628 455748682984 626654439103 716176501832 740591609849 846390411256 911497365968 1163786815477 1253308878206 1432353003664 1481183219698 1692780822512 2327573630954 2506617756412 2962366439396 4655147261908 5013235512824 5924732878792 8146507708339 9310294523816 10026471025648 11849465757584 16293015416678 18620589047632 32586030833356 65172061666712 130344123333424