Search a number
-
+
400556331141233 = 36713191243766533
BaseRepresentation
bin101101100010011011100100…
…1110101001000100001110001
31221112020210220102110022001112
41123010313021311020201301
5410000203331233004413
63535525012130043105
7150241145202413321
oct13304671165104161
91845223812408045
10400556331141233
111066a1a934a1273
1238b12600a19495
13142673b8cb6657
1470cb05bd69281
1531495c93502a8
hex16c4dc9d48871

400556331141233 has 16 divisors (see below), whose sum is σ = 401990635537920. Its totient is φ = 399123948941376.

The previous prime is 400556331141229. The next prime is 400556331141277. The reversal of 400556331141233 is 332141133655004.

It is a cyclic number.

It is not a de Polignac number, because 400556331141233 - 22 = 400556331141229 is a prime.

It is a super-2 number, since 2×4005563311412332 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (400556331141283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6020382635 + ... + 6020449167.

It is an arithmetic number, because the mean of its divisors is an integer number (25124414721120).

Almost surely, 2400556331141233 is an apocalyptic number.

It is an amenable number.

400556331141233 is a deficient number, since it is larger than the sum of its proper divisors (1434304396687).

400556331141233 is a wasteful number, since it uses less digits than its factorization.

400556331141233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80656.

The product of its (nonzero) digits is 388800, while the sum is 41.

Adding to 400556331141233 its reverse (332141133655004), we get a palindrome (732697464796237).

The spelling of 400556331141233 in words is "four hundred trillion, five hundred fifty-six billion, three hundred thirty-one million, one hundred forty-one thousand, two hundred thirty-three".

Divisors: 1 367 1319 12437 66533 484073 4564379 16404403 24417611 87757027 827470921 6020415901 32206828909 303681828007 1091434144799 400556331141233