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13124142304320 = 263567204044501
BaseRepresentation
bin1011111011111011001111…
…0101110000110001000000
31201110122201001011000001110
42332332303311300301000
53210011220412214240
643525051525003320
72523121323645645
oct276766365606100
951418631130043
1013124142304320
1141aaa10204413
12157b668853540
137427a80ca318
143352d7565dcc
1517b5c8121c80
hexbefb3d70c40

13124142304320 has 112 divisors (see below), whose sum is σ = 42291079662528. Its totient is φ = 3447535872000.

The previous prime is 13124142304267. The next prime is 13124142304349. The reversal of 13124142304320 is 2340324142131.

It is a super-2 number, since 2×131241423043202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101957931 + ... + 102086570.

Almost surely, 213124142304320 is an apocalyptic number.

13124142304320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13124142304320 is an abundant number, since it is smaller than the sum of its proper divisors (29166937358208).

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

13124142304320 is a wasteful number, since it uses less digits than its factorization.

13124142304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204044588 (or 204044578 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 13124142304320 its reverse (2340324142131), we get a palindrome (15464466446451).

The spelling of 13124142304320 in words is "thirteen trillion, one hundred twenty-four billion, one hundred forty-two million, three hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 134 160 192 201 240 268 320 335 402 480 536 670 804 960 1005 1072 1340 1608 2010 2144 2680 3216 4020 4288 5360 6432 8040 10720 12864 16080 21440 32160 64320 204044501 408089002 612133503 816178004 1020222505 1224267006 1632356008 2040445010 2448534012 3060667515 3264712016 4080890020 4897068024 6121335030 6529424032 8161780040 9794136048 12242670060 13058848064 13670981567 16323560080 19588272096 24485340120 27341963134 32647120160 39176544192 41012944701 48970680240 54683926268 65294240320 68354907835 82025889402 97941360480 109367852536 136709815670 164051778804 195882720960 205064723505 218735705072 273419631340 328103557608 410129447010 437471410144 546839262680 656207115216 820258894020 874942820288 1093678525360 1312414230432 1640517788040 2187357050720 2624828460864 3281035576080 4374714101440 6562071152160 13124142304320