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1002234340096 = 2811934938069
BaseRepresentation
bin11101001010110011101…
…00100110001100000000
310112210221102201122212221
432211121310212030000
5112410033442340341
62044230424100424
7132260205221053
oct16453164461400
93483842648787
101002234340096
1135705517a760
121422a6304714
1373683161782
14367190a2a9a
151b10c9b7ed1
hexe959d26300

1002234340096 has 72 divisors (see below), whose sum is σ = 2182712994000. Its totient is φ = 455500369920.

The previous prime is 1002234340039. The next prime is 1002234340103. The reversal of 1002234340096 is 6900434322001.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 26307750 + ... + 26345818.

It is an arithmetic number, because the mean of its divisors is an integer number (30315458250).

Almost surely, 21002234340096 is an apocalyptic number.

1002234340096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1002234340096 is an abundant number, since it is smaller than the sum of its proper divisors (1180478653904).

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

1002234340096 is an equidigital number, since it uses as much as digits as its factorization.

1002234340096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47445 (or 47431 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

Adding to 1002234340096 its reverse (6900434322001), we get a palindrome (7902668662097).

The spelling of 1002234340096 in words is "one trillion, two billion, two hundred thirty-four million, three hundred forty thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 9349 18698 37396 38069 74792 76138 102839 149584 152276 205678 299168 304552 411356 418759 598336 609104 822712 837518 1196672 1218208 1645424 1675036 2393344 2436416 3290848 3350072 4872832 6581696 6700144 9745664 13163392 13400288 26326784 26800576 53601152 107202304 355907081 711814162 1423628324 2847256648 3914977891 5694513296 7829955782 11389026592 15659911564 22778053184 31319823128 45556106368 62639646256 91112212736 125279292512 250558585024 501117170048 1002234340096