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13413001443240 = 2335737431563753
BaseRepresentation
bin1100001100101111010100…
…1011111011011110101000
31202111021022010120122111010
43003023311023323132220
53224224311332140430
644305503042503520
72553025452060630
oct303136513733650
952437263518433
1013413001443240
114301470702903
121607643064ba0
13763ac0a82329
1434529ac0b6c0
15183d826b9cb0
hexc32f52fb7a8

13413001443240 has 128 divisors (see below), whose sum is σ = 47230337237760. Its totient is φ = 2982968653824.

The previous prime is 13413001443223. The next prime is 13413001443253. The reversal of 13413001443240 is 4234410031431.

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

It is a junction number, because it is equal to n+sod(n) for n = 13413001443198 and 13413001443207.

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, 215750797 + ... + 215812956.

It is an arithmetic number, because the mean of its divisors is an integer number (368987009670).

Almost surely, 213413001443240 is an apocalyptic number.

13413001443240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13413001443240 is an abundant number, since it is smaller than the sum of its proper divisors (33817335794520).

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

13413001443240 is a wasteful number, since it uses less digits than its factorization.

13413001443240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431563811 (or 431563807 counting only the distinct ones).

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

Adding to 13413001443240 its reverse (4234410031431), we get a palindrome (17647411474671).

The spelling of 13413001443240 in words is "thirteen trillion, four hundred thirteen billion, one million, four hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 37 40 42 56 60 70 74 84 105 111 120 140 148 168 185 210 222 259 280 296 370 420 444 518 555 740 777 840 888 1036 1110 1295 1480 1554 2072 2220 2590 3108 3885 4440 5180 6216 7770 10360 15540 31080 431563753 863127506 1294691259 1726255012 2157818765 2589382518 3020946271 3452510024 4315637530 5178765036 6041892542 6473456295 8631275060 9062838813 10357530072 12083785084 12946912590 15104731355 15967858861 17262550120 18125677626 24167570168 25893825180 30209462710 31935717722 36251355252 45314194065 47903576583 51787650360 60418925420 63871435444 72502710504 79839294305 90628388130 95807153166 111775012027 120837850840 127742870888 159678588610 181256776260 191614306332 223550024054 239517882915 319357177220 335325036081 362513552520 383228612664 447100048108 479035765830 558875060135 638714354440 670650072162 894200096216 958071531660 1117750120270 1341300144324 1676625180405 1916143063320 2235500240540 2682600288648 3353250360810 4471000481080 6706500721620 13413001443240