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10743342240 = 253522381963
BaseRepresentation
bin10100000000101101…
…00110010010100000
31000201201111022222110
422000112212102200
5134000243422430
64534015035320
7530141621331
oct120026462240
930651438873
1010743342240
114613378044
1220b9b0bb40
1310229c3757
1473cb80288
1542d2927b0
hex2805a64a0

10743342240 has 48 divisors (see below), whose sum is σ = 33841529568. Its totient is φ = 2864891136.

The previous prime is 10743342229. The next prime is 10743342241. The reversal of 10743342240 is 4224334701.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 10743342198 and 10743342207.

It is not an unprimeable number, because it can be changed into a prime (10743342241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11190502 + ... + 11191461.

It is an arithmetic number, because the mean of its divisors is an integer number (705031866).

Almost surely, 210743342240 is an apocalyptic number.

10743342240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10743342240 is an abundant number, since it is smaller than the sum of its proper divisors (23098187328).

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

10743342240 is a wasteful number, since it uses less digits than its factorization.

10743342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22381981 (or 22381973 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

Adding to 10743342240 its reverse (4224334701), we get a palindrome (14967676941).

The spelling of 10743342240 in words is "ten billion, seven hundred forty-three million, three hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 22381963 44763926 67145889 89527852 111909815 134291778 179055704 223819630 268583556 335729445 358111408 447639260 537167112 671458890 716222816 895278520 1074334224 1342917780 1790557040 2148668448 2685835560 3581114080 5371671120 10743342240