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4398046511104 = 242
BaseRepresentation
bin100000000000000000000…
…0000000000000000000000
3120120110010102102112221101
41000000000000000000000
51034024144401323404
613204233520104144
7632514456346201
oct100000000000000
916513112375841
104398046511104
111446223664934
125b0454a65054
1325b9707c5a8c
14112c1bcb35a8
157960b12c2a4
hex40000000000

4398046511104 has 43 divisors (see below), whose sum is σ = 8796093022207. Its totient is φ = 2199023255552.

The previous prime is 4398046511093. The next prime is 4398046511119. The reversal of 4398046511104 is 4011156408934.

The square root of 4398046511104 is 2097152.

The cubic root of 4398046511104 is 16384.

It is a perfect power (a square, a cube, a 6-th power, a 7-th power, a 14-th power, a 21-st power, a 42-nd power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (2!)42.

It is an ABA number since it can be written as A⋅BA, here for A=4, B=1024.

It is a super-2 number, since 2×43980465111042 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is an unprimeable number.

In principle, a polygon with 4398046511104 sides can be constructed with ruler and compass.

It is an impolite number, since it cannot be written as a nontrivial sum of consecutive naturals.

Almost surely, 24398046511104 is an apocalyptic number.

4398046511104 is the 2097152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4398046511104

4398046511104 is a deficient number, since it is larger than the sum of its proper divisors (4398046511103).

4398046511104 is an frugal number, since it uses more digits than its factorization.

4398046511104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 2 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 4398046511104 in words is "four trillion, three hundred ninety-eight billion, forty-six million, five hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104