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4030726144 = 222312
BaseRepresentation
bin1111000001000000…
…0000000000000000
3101101220112002210111
43300100000000000
531223331214034
61503544241104
7201612415114
oct36020000000
911356462714
104030726144
111789270235
12945a70194
134c30bc073
142a3471744
15188ce4364
hexf0400000

4030726144 has 69 divisors (see below), whose sum is σ = 8329886751. Its totient is φ = 1950351360.

The previous prime is 4030726123. The next prime is 4030726199. The reversal of 4030726144 is 4416270304.

The square root of 4030726144 is 63488.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 130023409 + ... + 130023439.

Almost surely, 24030726144 is an apocalyptic number.

4030726144 is the 63488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4030726144

4030726144 is an abundant number, since it is smaller than the sum of its proper divisors (4299160607).

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

4030726144 is an frugal number, since it uses more digits than its factorization.

4030726144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The cubic root of 4030726144 is about 1591.4552482448.

Adding to 4030726144 its reverse (4416270304), we get a palindrome (8446996448).

The spelling of 4030726144 in words is "four billion, thirty million, seven hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 961 992 1024 1922 1984 2048 3844 3968 4096 7688 7936 8192 15376 15872 16384 30752 31744 32768 61504 63488 65536 123008 126976 131072 246016 253952 262144 492032 507904 524288 984064 1015808 1048576 1968128 2031616 2097152 3936256 4063232 4194304 7872512 8126464 15745024 16252928 31490048 32505856 62980096 65011712 125960192 130023424 251920384 503840768 1007681536 2015363072 4030726144