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34302203004144 = 2435632631268731
BaseRepresentation
bin1111100110010100110101…
…01000000000010011110000
311111110020222111122200201110
413303022122220000103300
513444001402432113034
6200542114200233320
710140152365505415
oct763123250002360
9144406874580643
1034302203004144
11aa255343805a9
123a1bbb646b840
13161a8b75aa41a
1486834224c10c
153e742ba54de9
hex1f329aa004f0

34302203004144 has 40 divisors (see below), whose sum is σ = 88614251594752. Its totient is φ = 11434038356160.

The previous prime is 34302203004131. The next prime is 34302203004221. The reversal of 34302203004144 is 44140030220343.

It is a happy number.

It is a super-2 number, since 2×343022030041442 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26402259 + ... + 27670989.

Almost surely, 234302203004144 is an apocalyptic number.

It is an amenable number.

34302203004144 is an abundant number, since it is smaller than the sum of its proper divisors (54312048590608).

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

34302203004144 is a wasteful number, since it uses less digits than its factorization.

34302203004144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832005 (or 1831999 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 34302203004144 its reverse (44140030220343), we get a palindrome (78442233224487).

The spelling of 34302203004144 in words is "thirty-four trillion, three hundred two billion, two hundred three million, four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 563263 1126526 1268731 1689789 2253052 2537462 3379578 3806193 4506104 5074924 6759156 7612386 9012208 10149848 13518312 15224772 20299696 27036624 30449544 60899088 714629229253 1429258458506 2143887687759 2858516917012 4287775375518 5717033834024 8575550751036 11434067668048 17151101502072 34302203004144