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10344324434440 = 23523102111012567
BaseRepresentation
bin1001011010000111100111…
…0010001000101000001000
31100121220111202101211220111
42112201321302020220020
52323440134023400230
634000041140404104
72115232000632223
oct226417162105010
940556452354814
1010344324434440
113329004515a17
1211b09713a6634
135a0608c32819
1427a94ccc65ba
1512e12da9792a
hex96879c88a08

10344324434440 has 64 divisors (see below), whose sum is σ = 24310464111360. Its totient is φ = 3953951696640.

The previous prime is 10344324434399. The next prime is 10344324434453. The reversal of 10344324434440 is 4443442344301.

It is a super-2 number, since 2×103443244344402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 10344324434393 and 10344324434402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4566964 + ... + 6445603.

It is an arithmetic number, because the mean of its divisors is an integer number (379851001740).

Almost surely, 210344324434440 is an apocalyptic number.

10344324434440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10344324434440 is an abundant number, since it is smaller than the sum of its proper divisors (13966139676920).

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

10344324434440 is a wasteful number, since it uses less digits than its factorization.

10344324434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11013622 (or 11013618 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 40.

Adding to 10344324434440 its reverse (4443442344301), we get a palindrome (14787766778741).

The spelling of 10344324434440 in words is "ten trillion, three hundred forty-four billion, three hundred twenty-four million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1021 2042 4084 5105 8168 10210 20420 23483 40840 46966 93932 117415 187864 234830 469660 939320 11012567 22025134 44050268 55062835 88100536 110125670 220251340 253289041 440502680 506578082 1013156164 1266445205 2026312328 2532890410 5065780820 10131561640 11243830907 22487661814 44975323628 56219154535 89950647256 112438309070 224876618140 258608110861 449753236280 517216221722 1034432443444 1293040554305 2068864886888 2586081108610 5172162217220 10344324434440