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4214014332 = 22311171998837
BaseRepresentation
bin1111101100101100…
…1100000101111100
3101212200102002220220
43323023030011330
532112241424312
61534052541340
7206266350033
oct37313140574
911780362826
104214014332
111872779380
12997321850
13522074808
142bd94371a
15199e4bc8c
hexfb2cc17c

4214014332 has 96 divisors (see below), whose sum is σ = 11955444480. Its totient is φ = 1138590720.

The previous prime is 4214014327. The next prime is 4214014333. The reversal of 4214014332 is 2334104124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214014333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6783 + ... + 92054.

It is an arithmetic number, because the mean of its divisors is an integer number (124535880).

Almost surely, 24214014332 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 4214014332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5977722240).

4214014332 is an abundant number, since it is smaller than the sum of its proper divisors (7741430148).

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

4214014332 is a wasteful number, since it uses less digits than its factorization.

4214014332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98891 (or 98889 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4214014332 is about 64915.4398583265. The cubic root of 4214014332 is about 1615.2211874554.

Adding to 4214014332 its reverse (2334104124), we get a palindrome (6548118456).

The spelling of 4214014332 in words is "four billion, two hundred fourteen million, fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 17 19 22 33 34 38 44 51 57 66 68 76 102 114 132 187 204 209 228 323 374 418 561 627 646 748 836 969 1122 1254 1292 1938 2244 2508 3553 3876 7106 10659 14212 21318 42636 98837 197674 296511 395348 593022 1087207 1186044 1680229 1877903 2174414 3261621 3360458 3755806 4348828 5040687 5633709 6523242 6720916 7511612 10081374 11267418 13046484 18482519 20162748 20656933 22534836 31924351 36965038 41313866 55447557 61970799 63848702 73930076 82627732 95773053 110895114 123941598 127697404 191546106 221790228 247883196 351167861 383092212 702335722 1053503583 1404671444 2107007166 4214014332