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4240404202424 = 23131011979203989
BaseRepresentation
bin111101101101001011110…
…010010100001110111000
3120000101020001121112102012
4331231023302110032320
51023433321433434144
613004003110225052
7615234112004465
oct75551362241670
916011201545365
104240404202424
1113953886970a5
1258599a955188
13249b39b504a0
1410934556866c
1575481659e9e
hex3db4bc943b8

4240404202424 has 64 divisors (see below), whose sum is σ = 8651542284000. Its totient is φ = 1936743667200.

The previous prime is 4240404202351. The next prime is 4240404202427. The reversal of 4240404202424 is 4242024040424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4240404202427) 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, 20685422 + ... + 20889410.

Almost surely, 24240404202424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4240404202424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4325771142000).

4240404202424 is an abundant number, since it is smaller than the sum of its proper divisors (4411138081576).

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

4240404202424 is a wasteful number, since it uses less digits than its factorization.

4240404202424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206088 (or 206084 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 4240404202424 its reverse (4242024040424), we get a palindrome (8482428242848).

The spelling of 4240404202424 in words is "four trillion, two hundred forty billion, four hundred four million, two hundred two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 101 104 202 404 808 1313 1979 2626 3958 5252 7916 10504 15832 25727 51454 102908 199879 203989 205816 399758 407978 799516 815956 1599032 1631912 2598427 2651857 5196854 5303714 10393708 10607428 20602889 20787416 21214856 41205778 82411556 164823112 267837557 403694231 535675114 807388462 1071350228 1614776924 2142700456 3229553848 5248025003 10496050006 20992100012 40773117331 41984200024 81546234662 163092469324 326184938648 530050525303 1060101050606 2120202101212 4240404202424