Search a number
-
+
4021221011232 = 253473072903023
BaseRepresentation
bin111010100001000011011…
…100110010111100100000
3112020102110210202202201010
4322201003130302330200
51011340430034324412
612315153505540520
7563344414425405
oct72410334627440
915212423682633
104021221011232
111310432478487
1254b40a944740
13232279443309
14dc8b18642ac
156e90401233c
hex3a843732f20

4021221011232 has 96 divisors (see below), whose sum is σ = 10815413317632. Its totient is φ = 1307614005504.

The previous prime is 4021221011153. The next prime is 4021221011267. The reversal of 4021221011232 is 2321101221204.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 4021221011199 and 4021221011208.

It is an unprimeable number.

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, 66328 + ... + 2836695.

It is an arithmetic number, because the mean of its divisors is an integer number (112660555392).

Almost surely, 24021221011232 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 4021221011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5407706658816).

4021221011232 is an abundant number, since it is smaller than the sum of its proper divisors (6794192306400).

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

4021221011232 is a wasteful number, since it uses less digits than its factorization.

4021221011232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903390 (or 2903382 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 4021221011232 its reverse (2321101221204), we get a palindrome (6342322232436).

The spelling of 4021221011232 in words is "four trillion, twenty-one billion, two hundred twenty-one million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 307 376 564 614 752 921 1128 1228 1504 1842 2256 2456 3684 4512 4912 7368 9824 14429 14736 28858 29472 43287 57716 86574 115432 173148 230864 346296 461728 692592 1385184 2903023 5806046 8709069 11612092 17418138 23224184 34836276 46448368 69672552 92896736 136442081 139345104 272884162 278690208 409326243 545768324 818652486 891228061 1091536648 1637304972 1782456122 2183073296 2673684183 3274609944 3564912244 4366146592 5347368366 6549219888 7129824488 10694736732 13098439776 14259648976 21389473464 28519297952 41887718867 42778946928 83775437734 85557893856 125663156601 167550875468 251326313202 335101750936 502652626404 670203501872 1005305252808 1340407003744 2010610505616 4021221011232