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4339120992 = 253137359919
BaseRepresentation
bin1000000101010000…
…11011101101100000
3102012101211011222220
410002220123231200
532341303332432
61554322231040
7212345630343
oct40250335540
912171734886
104339120992
111927358908
12a111b5480
13541c68c1b
142d23cc45a
151a5e1072c
hex102a1bb60

4339120992 has 96 divisors (see below), whose sum is σ = 11517811200. Its totient is φ = 1430258688.

The previous prime is 4339120937. The next prime is 4339120999. The reversal of 4339120992 is 2990219334.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4339120999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4721109 + ... + 4722027.

It is an arithmetic number, because the mean of its divisors is an integer number (119977200).

Almost surely, 24339120992 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 4339120992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5758905600).

4339120992 is an abundant number, since it is smaller than the sum of its proper divisors (7178690208).

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

4339120992 is a wasteful number, since it uses less digits than its factorization.

4339120992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 4339120992 is about 65872.0046150108. The cubic root of 4339120992 is about 1631.0499203878.

The spelling of 4339120992 in words is "four billion, three hundred thirty-nine million, one hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 274 359 411 548 718 822 919 1077 1096 1436 1644 1838 2154 2192 2757 2872 3288 3676 4308 4384 5514 5744 6576 7352 8616 11028 11488 13152 14704 17232 22056 29408 34464 44112 49183 88224 98366 125903 147549 196732 251806 295098 329921 377709 393464 503612 590196 659842 755418 786928 989763 1007224 1180392 1319684 1510836 1573856 1979526 2014448 2360784 2639368 3021672 3959052 4028896 4721568 5278736 6043344 7918104 10557472 12086688 15836208 31672416 45199177 90398354 135597531 180796708 271195062 361593416 542390124 723186832 1084780248 1446373664 2169560496 4339120992