Search a number
-
+
4114114032 = 243728794253
BaseRepresentation
bin1111010100111000…
…0110010111110000
3101121201102122110210
43311032012113300
531411203122112
61520123424120
7203644251360
oct36516062760
911551378423
104114114032
111821345846
12969985040
13507467502
142b057a9a0
151912b6b3c
hexf53865f0

4114114032 has 80 divisors (see below), whose sum is σ = 12153507840. Its totient is φ = 1174776576.

The previous prime is 4114114013. The next prime is 4114114033. The reversal of 4114114032 is 2304114114.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114114033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 965218 + ... + 969470.

It is an arithmetic number, because the mean of its divisors is an integer number (151918848).

Almost surely, 24114114032 is an apocalyptic number.

4114114032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4114114032 is an abundant number, since it is smaller than the sum of its proper divisors (8039393808).

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

4114114032 is a wasteful number, since it uses less digits than its factorization.

4114114032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7150 (or 7144 counting only the distinct ones).

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

The square root of 4114114032 is about 64141.3597610777. The cubic root of 4114114032 is about 1602.3551295687.

Adding to 4114114032 its reverse (2304114114), we get a palindrome (6418228146).

The spelling of 4114114032 in words is "four billion, one hundred fourteen million, one hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2879 4253 5758 8506 8637 11516 12759 17012 17274 20153 23032 25518 29771 34024 34548 40306 46064 51036 59542 60459 68048 69096 80612 89313 102072 119084 120918 138192 161224 178626 204144 238168 241836 322448 357252 476336 483672 714504 967344 1429008 12244387 24488774 36733161 48977548 73466322 85710709 97955096 146932644 171421418 195910192 257132127 293865288 342842836 514264254 587730576 685685672 1028528508 1371371344 2057057016 4114114032