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4128088048480 = 255112345504573
BaseRepresentation
bin111100000100100101001…
…110001100001101100000
3112121122022112221202010201
4330010211032030031200
51020113311020022410
612440230101234544
7604146604312564
oct74044516141540
915548275852121
104128088048480
1113517920a2280
12568074402a54
1323c37a8437b6
14103b2c90d6a4
15725ab04e83a
hex3c12538c360

4128088048480 has 48 divisors (see below), whose sum is σ = 10639208747664. Its totient is φ = 1501122926080.

The previous prime is 4128088048423. The next prime is 4128088048501. The reversal of 4128088048480 is 848408808214.

It is a super-2 number, since 2×41280880484802 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent 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, 1172750527 + ... + 1172754046.

It is an arithmetic number, because the mean of its divisors is an integer number (221650182243).

Almost surely, 24128088048480 is an apocalyptic number.

4128088048480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4128088048480 is an abundant number, since it is smaller than the sum of its proper divisors (6511120699184).

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

4128088048480 is a wasteful number, since it uses less digits than its factorization.

4128088048480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345504599 (or 2345504591 counting only the distinct ones).

The product of its (nonzero) digits is 4194304, while the sum is 55.

The spelling of 4128088048480 in words is "four trillion, one hundred twenty-eight billion, eighty-eight million, forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 2345504573 4691009146 9382018292 11727522865 18764036584 23455045730 25800550303 37528073168 46910091460 51601100606 75056146336 93820182920 103202201212 129002751515 187640365840 206404402424 258005503030 375280731680 412808804848 516011006060 825617609696 1032022012120 2064044024240 4128088048480