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4014310158 = 2331913728559
BaseRepresentation
bin1110111101000101…
…1000001100001110
3101100202122002022000
43233101120030032
531210130411113
61502200333130
7201323034105
oct35721301416
911322562260
104014310158
11177aa78701
129404741a6
134bc892071
142a11db03c
15187650373
hexef45830e

4014310158 has 64 divisors (see below), whose sum is σ = 9459072000. Its totient is φ = 1258379712.

The previous prime is 4014310151. The next prime is 4014310207. The reversal of 4014310158 is 8510134104.

It is a happy number.

4014310158 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×40143101583 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4014310151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126283 + ... + 154841.

It is an arithmetic number, because the mean of its divisors is an integer number (147798000).

Almost surely, 24014310158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4014310158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4729536000).

4014310158 is an abundant number, since it is smaller than the sum of its proper divisors (5444761842).

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

4014310158 is a wasteful number, since it uses less digits than its factorization.

4014310158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28726 (or 28720 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 4014310158 is about 63358.5839330394. The cubic root of 4014310158 is about 1589.2917956760.

The spelling of 4014310158 in words is "four billion, fourteen million, three hundred ten thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 137 171 274 342 411 513 822 1026 1233 2466 2603 3699 5206 7398 7809 15618 23427 28559 46854 57118 70281 85677 140562 171354 257031 514062 542621 771093 1085242 1542186 1627863 3255726 3912583 4883589 7825166 9767178 11737749 14650767 23475498 29301534 35213247 70426494 74339077 105639741 148678154 211279482 223017231 446034462 669051693 1338103386 2007155079 4014310158