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4014114368 = 261111350459
BaseRepresentation
bin1110111101000010…
…1000011001000000
3101100202021010201112
43233100220121000
531210103124433
61502152222452
7201321260225
oct35720503100
911322233645
104014114368
11177a9545a0
1294039aa28
134bc823c04
142a118994c
15187612348
hexef428640

4014114368 has 56 divisors (see below), whose sum is σ = 8766718560. Its totient is φ = 1808414720.

The previous prime is 4014114367. The next prime is 4014114427. The reversal of 4014114368 is 8634114104.

It is a super-2 number, since 2×40141143682 = 32226228318768078848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) 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 (32).

It is not an unprimeable number, because it can be changed into a prime (4014114361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54323 + ... + 104781.

Almost surely, 24014114368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4014114368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4383359280).

4014114368 is an abundant number, since it is smaller than the sum of its proper divisors (4752604192).

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

4014114368 is a wasteful number, since it uses less digits than its factorization.

4014114368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50595 (or 50585 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 4014114368 is about 63357.0388196923. The cubic root of 4014114368 is about 1589.2659570730.

The spelling of 4014114368 in words is "four billion, fourteen million, one hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 113 176 226 352 452 704 904 1243 1808 2486 3616 4972 7232 9944 19888 39776 50459 79552 100918 201836 403672 555049 807344 1110098 1614688 2220196 3229376 4440392 5701867 8880784 11403734 17761568 22807468 35523136 45614936 62720537 91229872 125441074 182459744 250882148 364919488 501764296 1003528592 2007057184 4014114368