Search a number
-
+
400244241201133 = 71928339072721721
BaseRepresentation
bin101101100000001010001111…
…1110100011111011111101101
31221111010222100100011200100011
41123000110133310133133231
5404430100201221414013
63535125355511333221
7150206456261611120
oct13300243764373755
91844128310150304
10400244241201133
111065916a18a303a
1238a82022681211
1314243b404c2644
1470b9cd32b63b7
1531414105a6c3d
hex16c051fd1f7ed

400244241201133 has 32 divisors (see below), whose sum is σ = 483322086333440. Its totient is φ = 323778903073920.

The previous prime is 400244241201127. The next prime is 400244241201137. The reversal of 400244241201133 is 331102142442004.

It is a happy number.

It is not a de Polignac number, because 400244241201133 - 217 = 400244241070061 is a prime.

It is a super-2 number, since 2×4002442412011332 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 400244241201095 and 400244241201104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400244241201137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145694713 + ... + 148416433.

It is an arithmetic number, because the mean of its divisors is an integer number (15103815197920).

Almost surely, 2400244241201133 is an apocalyptic number.

It is an amenable number.

400244241201133 is a deficient number, since it is larger than the sum of its proper divisors (83077845132307).

400244241201133 is a wasteful number, since it uses less digits than its factorization.

400244241201133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725937.

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 400244241201133 its reverse (331102142442004), we get a palindrome (731346383643137).

The spelling of 400244241201133 in words is "four hundred trillion, two hundred forty-four billion, two hundred forty-one million, two hundred one thousand, one hundred thirty-three".

Divisors: 1 7 19 133 283 1981 3907 5377 27349 37639 74233 519631 1105681 2721721 7739767 19052047 21007939 51712699 147055573 361988893 770247043 5391729301 10633763947 14634693817 74436347629 102442856719 202041514993 1414290604951 3009355197001 21065486379007 57177748743019 400244241201133