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4263122514640 = 2451124120101483
BaseRepresentation
bin111110000010010101111…
…001110011001011010000
3120002112212100010101000011
4332002111321303023100
51024321333330432030
613022241302404304
7620000102324053
oct76022571631320
916075770111004
104263122514640
1113a3a8657a340
1258a27b130694
1324c01a753992
1410a49c88ca9a
1575d60d76b2a
hex3e095e732d0

4263122514640 has 80 divisors (see below), whose sum is σ = 10857695973696. Its totient is φ = 1543793817600.

The previous prime is 4263122514619. The next prime is 4263122514671. The reversal of 4263122514640 is 464152213624.

4263122514640 is digitally balanced in base 2 and base 12, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

4263122514640 is strictly pandigital in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 4263122514593 and 4263122514602.

It is a congruent number.

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, 9838662 + ... + 10262821.

Almost surely, 24263122514640 is an apocalyptic number.

4263122514640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4263122514640 is an abundant number, since it is smaller than the sum of its proper divisors (6594573459056).

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

4263122514640 is a wasteful number, since it uses less digits than its factorization.

4263122514640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20101748 (or 20101742 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 4263122514640 in words is "four trillion, two hundred sixty-three billion, one hundred twenty-two million, five hundred fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 241 440 482 880 964 1205 1928 2410 2651 3856 4820 5302 9640 10604 13255 19280 21208 26510 42416 53020 106040 212080 20101483 40202966 80405932 100507415 160811864 201014830 221116313 321623728 402029660 442232626 804059320 884465252 1105581565 1608118640 1768930504 2211163130 3537861008 4422326260 4844457403 8844652520 9688914806 17689305040 19377829612 24222287015 38755659224 48444574030 53289031433 77511318448 96889148060 106578062866 193778296120 213156125732 266445157165 387556592240 426312251464 532890314330 852624502928 1065780628660 2131561257320 4263122514640