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4661414142 = 2371137272693
BaseRepresentation
bin1000101011101011…
…11000100011111110
3110000212021101002020
410111311320203332
534021310223032
62050314141010
7223341236460
oct42565704376
913025241066
104661414142
111a82279490
12aa1121766
13593970b28
14323126130
151c4374b2c
hex115d788fe

4661414142 has 64 divisors (see below), whose sum is σ = 11937452544. Its totient is φ = 1178029440.

The previous prime is 4661414137. The next prime is 4661414143. The reversal of 4661414142 is 2414141664.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4661414143) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 119253 + ... + 153440.

It is an arithmetic number, because the mean of its divisors is an integer number (186522696).

Almost surely, 24661414142 is an apocalyptic number.

4661414142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4661414142 is an abundant number, since it is smaller than the sum of its proper divisors (7276038402).

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

4661414142 is a wasteful number, since it uses less digits than its factorization.

4661414142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272753.

The product of its digits is 18432, while the sum is 33.

The square root of 4661414142 is about 68274.5497385373. The cubic root of 4661414142 is about 1670.4721126865.

The spelling of 4661414142 in words is "four billion, six hundred sixty-one million, four hundred fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 37 42 66 74 77 111 154 222 231 259 407 462 518 777 814 1221 1554 2442 2849 5698 8547 17094 272693 545386 818079 1636158 1908851 2999623 3817702 5726553 5999246 8998869 10089641 11453106 17997738 20179282 20997361 30268923 41994722 60537846 62992083 70627487 110986051 125984166 141254974 211882461 221972102 332958153 423764922 665916306 776902357 1553804714 2330707071 4661414142