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4140240252000 = 25353345020021
BaseRepresentation
bin111100001111111001100…
…011001010110001100000
3112122210200110110122110120
4330033321203022301200
51020313203001031000
612450000005200240
7605060004324426
oct74177143126140
915583613418416
104140240252000
111356958760686
1256a4a6100080
13240566399178
1410456282b116
1572a6cd376a0
hex3c3f98cac60

4140240252000 has 96 divisors (see below), whose sum is σ = 13563427104864. Its totient is φ = 1104064064000.

The previous prime is 4140240251923. The next prime is 4140240252013. The reversal of 4140240252000 is 2520420414.

It is a happy number.

4140240252000 is digitally balanced in base 2, because in such base 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 172498011 + ... + 172522010.

It is an arithmetic number, because the mean of its divisors is an integer number (141285699009).

Almost surely, 24140240252000 is an apocalyptic number.

4140240252000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4140240252000 is an abundant number, since it is smaller than the sum of its proper divisors (9423186852864).

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

4140240252000 is a wasteful number, since it uses less digits than its factorization.

4140240252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345020049 (or 345020031 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 4140240252000 its reverse (2520420414), we get a palindrome (4142760672414).

The spelling of 4140240252000 in words is "four trillion, one hundred forty billion, two hundred forty million, two hundred fifty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 345020021 690040042 1035060063 1380080084 1725100105 2070120126 2760160168 3450200210 4140240252 5175300315 5520320336 6900400420 8280480504 8625500525 10350600630 11040640672 13800800840 16560961008 17251001050 20701201260 25876501575 27601601680 33121922016 34502002100 41402402520 43127502625 51753003150 55203203360 69004004200 82804805040 86255005250 103506006300 129382507875 138008008400 165609610080 172510010500 207012012600 258765015750 276016016800 345020021000 414024025200 517530031500 690040042000 828048050400 1035060063000 1380080084000 2070120126000 4140240252000