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405441052103031 = 3728368221614017
BaseRepresentation
bin101110000101111110001100…
…1111000110101000101110111
31222011112210020000201112002020
41130023330121320311011313
5411120221233314244111
63554145014212444223
7151254102142464210
oct13413743170650567
91864483200645066
10405441052103031
111082056480a412a
1239581238019673
131452cc08c83479
147219647392407
1531d16bb2a4906
hex170bf19e35177

405441052103031 has 16 divisors (see below), whose sum is σ = 619998028195584. Its totient is φ = 230861941830144.

The previous prime is 405441052103011. The next prime is 405441052103033. The reversal of 405441052103031 is 130301250144504.

It is not a de Polignac number, because 405441052103031 - 210 = 405441052102007 is a prime.

It is a super-3 number, since 3×4054410521030313 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 405441052102983 and 405441052103001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405441052103033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34110801066 + ... + 34110812951.

It is an arithmetic number, because the mean of its divisors is an integer number (38749876762224).

Almost surely, 2405441052103031 is an apocalyptic number.

405441052103031 is a deficient number, since it is larger than the sum of its proper divisors (214556976092553).

405441052103031 is a wasteful number, since it uses less digits than its factorization.

405441052103031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68221614310.

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 405441052103031 in words is "four hundred five trillion, four hundred forty-one billion, fifty-two million, one hundred three thousand, thirty-one".

Divisors: 1 3 7 21 283 849 1981 5943 68221614017 204664842051 477551298119 1432653894357 19306716766811 57920150300433 135147017367677 405441052103031