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1406411631 = 321091738287
BaseRepresentation
bin101001111010100…
…0010001101101111
310122000102010001200
41103311002031233
510340020133011
6351320140543
746565205312
oct12365021557
93560363050
101406411631
11661978969
12333007753
131954b4c41
14d4b00979
158370e856
hex53d4236f

1406411631 has 24 divisors (see below), whose sum is σ = 2062220160. Its totient is φ = 923524416.

The previous prime is 1406411609. The next prime is 1406411693. The reversal of 1406411631 is 1361146041.

1406411631 is a `hidden beast` number, since 1 + 4 + 0 + 641 + 16 + 3 + 1 = 666.

It is not a de Polignac number, because 1406411631 - 218 = 1406149487 is a prime.

It is a super-2 number, since 2×14064116312 = 3955987351624160322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1406411595 and 1406411604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406411431) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 165570 + ... + 173856.

It is an arithmetic number, because the mean of its divisors is an integer number (85925840).

Almost surely, 21406411631 is an apocalyptic number.

1406411631 is a deficient number, since it is larger than the sum of its proper divisors (655808529).

1406411631 is a wasteful number, since it uses less digits than its factorization.

1406411631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8575 (or 8572 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1406411631 is about 37502.1550180786. The cubic root of 1406411631 is about 1120.3941084871.

Adding to 1406411631 its reverse (1361146041), we get a palindrome (2767557672).

The spelling of 1406411631 in words is "one billion, four hundred six million, four hundred eleven thousand, six hundred thirty-one".

Divisors: 1 3 9 109 173 327 519 981 1557 8287 18857 24861 56571 74583 169713 903283 1433651 2709849 4300953 8129547 12902859 156267959 468803877 1406411631