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3014114424 = 2333725113523
BaseRepresentation
bin1011001110100111…
…1011110001111000
321210001120212200120
42303221323301320
522133103130144
61215030533240
7134456356416
oct26351736170
97701525616
103014114424
111307430862
12701507220
133905b6a79
1420843c2b6
15129930e19
hexb3a7bc78

3014114424 has 64 divisors (see below), whose sum is σ = 7770349440. Its totient is φ = 973584000.

The previous prime is 3014114401. The next prime is 3014114429. The reversal of 3014114424 is 4244114103.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3014114394 and 3014114403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3014114429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216127 + ... + 229649.

It is an arithmetic number, because the mean of its divisors is an integer number (121411710).

Almost surely, 23014114424 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 3014114424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885174720).

3014114424 is an abundant number, since it is smaller than the sum of its proper divisors (4756235016).

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

3014114424 is a wasteful number, since it uses less digits than its factorization.

3014114424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13820 (or 13816 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 3014114424 is about 54900.9510300140. The cubic root of 3014114424 is about 1444.5078681544.

Adding to 3014114424 its reverse (4244114103), we get a palindrome (7258228527).

The spelling of 3014114424 in words is "three billion, fourteen million, one hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 251 296 444 502 753 888 1004 1506 2008 3012 6024 9287 13523 18574 27046 27861 37148 40569 54092 55722 74296 81138 108184 111444 162276 222888 324552 500351 1000702 1501053 2001404 3002106 3394273 4002808 6004212 6788546 10182819 12008424 13577092 20365638 27154184 40731276 81462552 125588101 251176202 376764303 502352404 753528606 1004704808 1507057212 3014114424