Search a number
-
+
4014003200 = 21052156797
BaseRepresentation
bin1110111101000000…
…1101010000000000
3101100202001111020012
43233100031100000
531210041100300
61502150004052
7201320315144
oct35720152000
911322044205
104014003200
11177a889019
12940346628
134bc7b542c
142a115b224
151875de435
hexef40d400

4014003200 has 66 divisors (see below), whose sum is σ = 9949930686. Its totient is φ = 1605591040.

The previous prime is 4014003199. The next prime is 4014003211. The reversal of 4014003200 is 23004104.

It can be written as a sum of positive squares in 3 ways, for example, as 776848384 + 3237154816 = 27872^2 + 56896^2 .

It is a super-2 number, since 2×40140032002 = 32224443379220480000, which contains 22 as substring.

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, 52799 + ... + 103998.

Almost surely, 24014003200 is an apocalyptic number.

4014003200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4014003200 is an abundant number, since it is smaller than the sum of its proper divisors (5935927486).

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

4014003200 is a wasteful number, since it uses less digits than its factorization.

4014003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156827 (or 156804 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4014003200 is about 63356.1614998889. The cubic root of 4014003200 is about 1589.2512857464.

Adding to 4014003200 its reverse (23004104), we get a palindrome (4037007304).

The spelling of 4014003200 in words is "four billion, fourteen million, three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2560 3200 5120 6400 12800 25600 156797 313594 627188 783985 1254376 1567970 2508752 3135940 3919925 5017504 6271880 7839850 10035008 12543760 15679700 20070016 25087520 31359400 40140032 50175040 62718800 80280064 100350080 125437600 160560128 200700160 250875200 401400320 501750400 802800640 1003500800 2007001600 4014003200