Search a number
-
+
4332024051440 = 245372794152379
BaseRepresentation
bin111111000010100000110…
…000010011011011110000
3120100010201012112002122112
4333002200300103123300
51031433441124121230
613114034313424452
7624656410611101
oct77024060233360
916303635462575
104332024051440
111420223706788
1259b6aa10b128
1325567b437cb7
1410d9576463a8
1577a44d06d95
hex3f0a0c136f0

4332024051440 has 80 divisors (see below), whose sum is σ = 10344738653280. Its totient is φ = 1685884400640.

The previous prime is 4332024051437. The next prime is 4332024051449. The reversal of 4332024051440 is 441504202334.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4332024051397 and 4332024051406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4332024051449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82679171 + ... + 82731549.

It is an arithmetic number, because the mean of its divisors is an integer number (129309233166).

Almost surely, 24332024051440 is an apocalyptic number.

4332024051440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4332024051440 is an abundant number, since it is smaller than the sum of its proper divisors (6012714601840).

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

4332024051440 is a wasteful number, since it uses less digits than its factorization.

4332024051440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80370 (or 80364 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 4332024051440 its reverse (441504202334), we get a palindrome (4773528253774).

The spelling of 4332024051440 in words is "four trillion, three hundred thirty-two billion, twenty-four million, fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 27941 52379 55882 104758 111764 139705 209516 223528 261895 279410 419032 447056 523790 558820 838064 1033817 1047580 1117640 1938023 2067634 2095160 2235280 3876046 4135268 4190320 5169085 7752092 8270536 9690115 10338170 15504184 16541072 19380230 20676340 31008368 38760460 41352680 77520920 82705360 155041840 1463521639 2927043278 5854086556 7317608195 11708173112 14635216390 23416346224 29270432780 54150300643 58540865560 108300601286 117081731120 216601202572 270751503215 433202405144 541503006430 866404810288 1083006012860 2166012025720 4332024051440