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10343213201440 = 255773912496633
BaseRepresentation
bin1001011010000011011110…
…0011000111100000100000
31100121210122022102100210201
42112200313203013200200
52323430400034421230
633555335003034544
72115162315412660
oct226406743074040
940553568370721
1010343213201440
113328594229139
1211b070120ba54
135a048c94acc2
1427a8854a21a0
1512e0b62435ca
hex968378c7820

10343213201440 has 96 divisors (see below), whose sum is σ = 27964467699840. Its totient is φ = 3541445535744.

The previous prime is 10343213201437. The next prime is 10343213201459. The reversal of 10343213201440 is 4410231234301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10343213201399 and 10343213201408.

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, 5420637 + ... + 7075996.

It is an arithmetic number, because the mean of its divisors is an integer number (291296538540).

Almost surely, 210343213201440 is an apocalyptic number.

10343213201440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10343213201440 is an abundant number, since it is smaller than the sum of its proper divisors (17621254498400).

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

10343213201440 is a wasteful number, since it uses less digits than its factorization.

10343213201440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12497394 (or 12497386 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 10343213201440 its reverse (4410231234301), we get a palindrome (14753444435741).

The spelling of 10343213201440 in words is "ten trillion, three hundred forty-three billion, two hundred thirteen million, two hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 739 1120 1478 2956 3695 5173 5912 7390 10346 11824 14780 20692 23648 25865 29560 41384 51730 59120 82768 103460 118240 165536 206920 413840 827680 12496633 24993266 49986532 62483165 87476431 99973064 124966330 174952862 199946128 249932660 349905724 399892256 437382155 499865320 699811448 874764310 999730640 1399622896 1749528620 1999461280 2799245792 3499057240 6998114480 9235011787 13996228960 18470023574 36940047148 46175058935 64645082509 73880094296 92350117870 129290165018 147760188592 184700235740 258580330036 295520377184 323225412545 369400471480 517160660072 646450825090 738800942960 1034321320144 1292901650180 1477601885920 2068642640288 2585803300360 5171606600720 10343213201440