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4140191376 = 243228751329
BaseRepresentation
bin1111011011000110…
…0100111010010000
3101200112111111212100
43312301210322100
531434342111001
61522454400400
7204412021536
oct36661447220
911615444770
104140191376
111835037072
12976660100
1350c997ba9
142b3c08156
15193718586
hexf6c64e90

4140191376 has 30 divisors (see below), whose sum is σ = 11586785990. Its totient is φ = 1380063744.

The previous prime is 4140191369. The next prime is 4140191381. The reversal of 4140191376 is 6731910414.

4140191376 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3804422400 + 335768976 = 61680^2 + 18324^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4140191376.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14375521 + ... + 14375808.

Almost surely, 24140191376 is an apocalyptic number.

It is an amenable number.

4140191376 is an abundant number, since it is smaller than the sum of its proper divisors (7446594614).

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

4140191376 is a wasteful number, since it uses less digits than its factorization.

4140191376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28751343 (or 28751334 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 4140191376 is about 64344.3189100638. The cubic root of 4140191376 is about 1605.7335151278.

The spelling of 4140191376 in words is "four billion, one hundred forty million, one hundred ninety-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 28751329 57502658 86253987 115005316 172507974 230010632 258761961 345015948 460021264 517523922 690031896 1035047844 1380063792 2070095688 4140191376