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4021110016 = 287111371489
BaseRepresentation
bin1110111110101101…
…0100010100000000
3101101020102112221121
43233223110110000
531213401010031
61503002202024
7201434604550
oct35753242400
911336375847
104021110016
1117838a2520
129427b3314
134c1103151
142a208b160
15188045011
hexefad4500

4021110016 has 144 divisors (see below), whose sum is σ = 10086894720. Its totient is φ = 1554186240.

The previous prime is 4021109929. The next prime is 4021110019. The reversal of 4021110016 is 6100111204.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4021110019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2699800 + ... + 2701288.

It is an arithmetic number, because the mean of its divisors is an integer number (70047880).

Almost surely, 24021110016 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 4021110016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5043447360).

4021110016 is an abundant number, since it is smaller than the sum of its proper divisors (6065784704).

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

4021110016 is a wasteful number, since it uses less digits than its factorization.

4021110016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 4021110016 is about 63412.2229227142. Note that the first 3 decimals coincide. The cubic root of 4021110016 is about 1590.1886589690.

The spelling of 4021110016 in words is "four billion, twenty-one million, one hundred ten thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 137 154 176 224 256 274 308 352 448 548 616 704 896 959 1096 1232 1408 1489 1507 1792 1918 2192 2464 2816 2978 3014 3836 4384 4928 5956 6028 7672 8768 9856 10423 10549 11912 12056 15344 16379 17536 19712 20846 21098 23824 24112 30688 32758 35072 41692 42196 47648 48224 61376 65516 83384 84392 95296 96448 114653 122752 131032 166768 168784 190592 192896 203993 229306 245504 262064 333536 337568 381184 385792 407986 458612 524128 667072 675136 815972 917224 1048256 1334144 1350272 1427951 1631944 1834448 2096512 2243923 2668288 2700544 2855902 3263888 3668896 4193024 4487846 5711804 6527776 7337792 8975692 11423608 13055552 14675584 15707461 17951384 22847216 26111104 29351168 31414922 35902768 45694432 52222208 62829844 71805536 91388864 125659688 143611072 182777728 251319376 287222144 365555456 502638752 574444288 1005277504 2010555008 4021110016