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4014909540 = 2232597229949
BaseRepresentation
bin1110111101001110…
…1010100001100100
3101100210202112111100
43233103222201210
531210304101130
61502221240100
7201331111425
oct35723524144
911323675440
104014909540
111780347a64
12940703030
134bca41b25
142a131564c
1518771cc60
hexef4ea864

4014909540 has 72 divisors (see below), whose sum is σ = 12304164600. Its totient is φ = 1059600384.

The previous prime is 4014909523. The next prime is 4014909571. The reversal of 4014909540 is 459094104.

It is a happy number.

4014909540 is a `hidden beast` number, since 40 + 1 + 490 + 95 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 124144164 + 3890765376 = 11142^2 + 62376^2 .

It is a super-2 number, since 2×40149095402 = 32238997228766023200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4014909495 and 4014909504.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 97515 + ... + 132434.

It is an arithmetic number, because the mean of its divisors is an integer number (170891175).

Almost surely, 24014909540 is an apocalyptic number.

It is an amenable number.

4014909540 is an abundant number, since it is smaller than the sum of its proper divisors (8289255060).

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

4014909540 is a wasteful number, since it uses less digits than its factorization.

4014909540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230061 (or 230056 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4014909540 is about 63363.3138337950. The cubic root of 4014909540 is about 1589.3708914983.

The spelling of 4014909540 in words is "four billion, fourteen million, nine hundred nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 582 873 970 1164 1455 1746 1940 2910 3492 4365 5820 8730 17460 229949 459898 689847 919796 1149745 1379694 2069541 2299490 2759388 3449235 4139082 4598980 6898470 8278164 10347705 13796940 20695410 22305053 41390820 44610106 66915159 89220212 111525265 133830318 200745477 223050530 267660636 334575795 401490954 446101060 669151590 802981908 1003727385 1338303180 2007454770 4014909540