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4066146120 = 2335151224401
BaseRepresentation
bin1111001001011100…
…0111011101001000
3101111101011121212110
43302113013131020
531311413133440
61511251342320
7202522446261
oct36227073510
911441147773
104066146120
1117a7262843
129558b19a0
134ca54102a
142a8051968
1518be8e080
hexf25c7748

4066146120 has 64 divisors (see below), whose sum is σ = 12279277440. Its totient is φ = 1077120000.

The previous prime is 4066146089. The next prime is 4066146121. The reversal of 4066146120 is 216416604.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4066146121) 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, 94081 + ... + 130320.

It is an arithmetic number, because the mean of its divisors is an integer number (191863710).

Almost surely, 24066146120 is an apocalyptic number.

4066146120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4066146120 is an abundant number, since it is smaller than the sum of its proper divisors (8213131320).

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

4066146120 is a wasteful number, since it uses less digits than its factorization.

4066146120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224566 (or 224562 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 4066146120 is about 63766.3400235579. The cubic root of 4066146120 is about 1596.1032935452.

The spelling of 4066146120 in words is "four billion, sixty-six million, one hundred forty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 151 302 453 604 755 906 1208 1510 1812 2265 3020 3624 4530 6040 9060 18120 224401 448802 673203 897604 1122005 1346406 1795208 2244010 2692812 3366015 4488020 5385624 6732030 8976040 13464060 26928120 33884551 67769102 101653653 135538204 169422755 203307306 271076408 338845510 406614612 508268265 677691020 813229224 1016536530 1355382040 2033073060 4066146120