Search a number
-
+
400227609600000 = 21335557213101
BaseRepresentation
bin101101100000000010100000…
…0011111111110000000000000
31221111002101102020212210200000
41123000011000133332000000
5404424312121024200000
63535114005310400000
7150205330160414100
oct13300050037760000
91844071366783600
10400227609600000
11106585637785a36
1238a7a960800000
13142423bc927b40
1470b91964d3200
153140c8a400000
hex16c01407fe000

400227609600000 has 6048 divisors, whose sum is σ = 1895964131591712. Its totient is φ = 83607552000000.

The previous prime is 400227609599929. The next prime is 400227609600023. The reversal of 400227609600000 is 6906722004.

It is a happy number.

400227609600000 is a `hidden beast` number, since 40 + 0 + 2 + 2 + 7 + 6 + 0 + 9 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a super-2 number, since 2×4002276096000002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3962649599950 + ... + 3962649600050.

It is an arithmetic number, because the mean of its divisors is an integer number (313486132869).

Almost surely, 2400227609600000 is an apocalyptic number.

400227609600000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400227609600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947982065795856).

400227609600000 is an abundant number, since it is smaller than the sum of its proper divisors (1495736521991712).

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

400227609600000 is an frugal number, since it uses more digits than its factorization.

400227609600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 400227609600000 in words is "four hundred trillion, two hundred twenty-seven billion, six hundred nine million, six hundred thousand".