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2414324131440 = 243513773821837
BaseRepresentation
bin100011001000100000111…
…011101010011001110000
322112210210101210111021120
4203020200323222121300
5304024013434201230
65045043013022240
7336300126341154
oct43104073523160
98483711714246
102414324131440
11850a00038141
1232bab4324980
131468926ab120
1484bd51c1064
1542c071d3310
hex23220eea670

2414324131440 has 80 divisors (see below), whose sum is σ = 8060128264608. Its totient is φ = 594295170048.

The previous prime is 2414324131399. The next prime is 2414324131463. The reversal of 2414324131440 is 441314234142.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×24143241314402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 386907799 + ... + 386914038.

Almost surely, 22414324131440 is an apocalyptic number.

2414324131440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414324131440 is an abundant number, since it is smaller than the sum of its proper divisors (5645804133168).

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

2414324131440 is a wasteful number, since it uses less digits than its factorization.

2414324131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773821866 (or 773821860 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 2414324131440 its reverse (441314234142), we get a palindrome (2855638365582).

The spelling of 2414324131440 in words is "two trillion, four hundred fourteen billion, three hundred twenty-four million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 773821837 1547643674 2321465511 3095287348 3869109185 4642931022 6190574696 7738218370 9285862044 10059683881 11607327555 12381149392 15476436740 18571724088 20119367762 23214655110 30179051643 30952873480 37143448176 40238735524 46429310220 50298419405 60358103286 61905746960 80477471048 92858620440 100596838810 120716206572 150895258215 160954942096 185717240880 201193677620 241432413144 301790516430 402387355240 482864826288 603581032860 804774710480 1207162065720 2414324131440