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4354403225440 = 255292491737663
BaseRepresentation
bin111111010111010110101…
…010000100111101100000
3120102021110211212221001211
4333113112222010331200
51032320304211203230
613132215113035504
7626411112502252
oct77272652047540
916367424787054
104354403225440
111429768113404
125a3ab49b5b94
132578069b91a8
14110a7b8c9cd2
157840488342a
hex3f5d6a84f60

4354403225440 has 96 divisors (see below), whose sum is σ = 10642720999680. Its totient is φ = 1681588414464.

The previous prime is 4354403225407. The next prime is 4354403225443. The reversal of 4354403225440 is 445223044534.

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 = 4354403225393 and 4354403225402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4354403225443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115596049 + ... + 115633711.

It is an arithmetic number, because the mean of its divisors is an integer number (110861677080).

Almost surely, 24354403225440 is an apocalyptic number.

4354403225440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4354403225440 is an abundant number, since it is smaller than the sum of its proper divisors (6288317774240).

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

4354403225440 is a wasteful number, since it uses less digits than its factorization.

4354403225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62624 (or 62616 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 40.

Adding to 4354403225440 its reverse (445223044534), we get a palindrome (4799626269974).

The spelling of 4354403225440 in words is "four trillion, three hundred fifty-four billion, four hundred three million, two hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 24917 37663 49834 75326 99668 124585 150652 188315 199336 249170 301304 376630 398672 498340 602608 722593 753260 797344 996680 1092227 1205216 1445186 1506520 1993360 2184454 2890372 3013040 3612965 3986720 4368908 5461135 5780744 6026080 7225930 8737816 10922270 11561488 14451860 17475632 21844540 23122976 28903720 34951264 43689080 57807440 87378160 115614880 174756320 938448971 1876897942 3753795884 4692244855 7507591768 9384489710 15015183536 18768979420 27215020159 30030367072 37537958840 54430040318 75075917680 108860080636 136075100795 150151835360 217720161272 272150201590 435440322544 544300403180 870880645088 1088600806360 2177201612720 4354403225440