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4014067136 = 2610925279
BaseRepresentation
bin1110111101000001…
…1100110111000000
3101100202011201221012
43233100130313000
531210100122021
61502151220052
7201321002432
oct35720346700
911322151835
104014067136
11177a922062
12940377628
134bc808571
142a1176652
1518760335b
hexef41cdc0

4014067136 has 42 divisors (see below), whose sum is σ = 8040684960. Its totient is φ = 1988243712.

The previous prime is 4014067097. The next prime is 4014067151. The reversal of 4014067136 is 6317604104.

4014067136 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-2 number, since 2×40140671362 = 32225469944630484992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 757745 + ... + 763023.

It is an arithmetic number, because the mean of its divisors is an integer number (191444880).

Almost surely, 24014067136 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 4014067136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4020342480).

4014067136 is an abundant number, since it is smaller than the sum of its proper divisors (4026617824).

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

4014067136 is an equidigital number, since it uses as much as digits as its factorization.

4014067136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5509 (or 5390 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 4014067136 is about 63356.6660739026. Note that the first 3 decimals coincide. The cubic root of 4014067136 is about 1589.2597236927.

The spelling of 4014067136 in words is "four billion, fourteen million, sixty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 109 218 436 872 1744 3488 5279 6976 10558 11881 21116 23762 42232 47524 84464 95048 168928 190096 337856 380192 575411 760384 1150822 2301644 4603288 9206576 18413152 36826304 62719799 125439598 250879196 501758392 1003516784 2007033568 4014067136