Search a number
-
+
4354332004125 = 32535383879863
BaseRepresentation
bin111111010111010010011…
…010011000111100011101
3120102021021212212111210100
4333113102122120330131
51032320132443113000
613132204050331313
7626406256231035
oct77272232307435
916367255774710
104354332004125
111429730998814
125a3a94b89b39
132577c50107bc
14110a7226a8c5
15783ed4b5a00
hex3f5d2698f1d

4354332004125 has 96 divisors (see below), whose sum is σ = 8093875974912. Its totient is φ = 2251038940800.

The previous prime is 4354332004109. The next prime is 4354332004213. The reversal of 4354332004125 is 5214002334534.

4354332004125 is a `hidden beast` number, since 4 + 3 + 5 + 4 + 33 + 200 + 412 + 5 = 666.

It is not a de Polignac number, because 4354332004125 - 24 = 4354332004109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4354332004125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4508944 + ... + 5388806.

It is an arithmetic number, because the mean of its divisors is an integer number (84311208072).

Almost surely, 24354332004125 is an apocalyptic number.

4354332004125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4354332004125 is a deficient number, since it is larger than the sum of its proper divisors (3739543970787).

4354332004125 is a wasteful number, since it uses less digits than its factorization.

4354332004125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880020 (or 880007 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 4354332004125 its reverse (5214002334534), we get a palindrome (9568334338659).

The spelling of 4354332004125 in words is "four trillion, three hundred fifty-four billion, three hundred thirty-two million, four thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 53 75 83 125 159 225 249 265 375 415 477 747 795 1125 1245 1325 2075 2385 3735 3975 4399 6225 6625 10375 11925 13197 18675 19875 21995 31125 39591 59625 65985 93375 109975 197955 329925 549875 879863 989775 1649625 2639589 4399315 4948875 7918767 13197945 21996575 39593835 46632739 65989725 73028629 109982875 139898217 197969175 219085887 233163695 329948625 365143145 419694651 657257661 699491085 989845875 1095429435 1165818475 1825715725 2098473255 3286288305 3497455425 3870517337 5477147175 5829092375 9128578625 10492366275 11611552011 16431441525 17487277125 19352586685 27385735875 34834656033 52461831375 58057760055 82157207625 96762933425 174173280165 290288800275 483814667125 870866400825 1451444001375 4354332004125