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4041214120 = 235195479721
BaseRepresentation
bin1111000011100000…
…0000100010101000
3101102122020221121001
43300320000202220
531234022322440
61505001124344
7202100516236
oct36070004250
911378227531
104041214120
111794183a89
129494896b4
134c5321a78
142a4a01956
15189bb6b9a
hexf0e008a8

4041214120 has 64 divisors (see below), whose sum is σ = 9589780800. Its totient is φ = 1528450560.

The previous prime is 4041214117. The next prime is 4041214123. The reversal of 4041214120 is 214121404.

It is an interprime number because it is at equal distance from previous prime (4041214117) and next prime (4041214123).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (4041214123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410860 + ... + 420580.

It is an arithmetic number, because the mean of its divisors is an integer number (149840325).

Almost surely, 24041214120 is an apocalyptic number.

4041214120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4041214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4794890400).

4041214120 is an abundant number, since it is smaller than the sum of its proper divisors (5548566680).

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

4041214120 is a wasteful number, since it uses less digits than its factorization.

4041214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10298 (or 10294 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 4041214120 is about 63570.5444368695. The cubic root of 4041214120 is about 1592.8343784495.

Adding to 4041214120 its reverse (214121404), we get a palindrome (4255335524).

The spelling of 4041214120 in words is "four billion, forty-one million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 547 760 1094 2188 2735 4376 5470 9721 10393 10940 19442 20786 21880 38884 41572 48605 51965 77768 83144 97210 103930 184699 194420 207860 369398 388840 415720 738796 923495 1477592 1846990 3693980 5317387 7387960 10634774 21269548 26586935 42539096 53173870 101030353 106347740 202060706 212695480 404121412 505151765 808242824 1010303530 2020607060 4041214120