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402144140031 = 33531021371929
BaseRepresentation
bin1011101101000011010…
…10001001101011111111
31102110000010010222011120
411312201222021223333
523042042344440111
6504424212322023
741024335535064
oct5664152115377
91373003128146
10402144140031
11145603979557
1265b31313313
132bbca91225a
141566cc5cc6b
15a6d9c7e406
hex5da1a89aff

402144140031 has 16 divisors (see below), whose sum is σ = 538239243360. Its totient is φ = 267074058240.

The previous prime is 402144139993. The next prime is 402144140071. The reversal of 402144140031 is 130041441204.

It is not a de Polignac number, because 402144140031 - 29 = 402144139519 is a prime.

It is a super-2 number, since 2×4021441400312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 402144139983 and 402144140010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402144140071) 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, 895275 + ... + 1267203.

It is an arithmetic number, because the mean of its divisors is an integer number (33639952710).

Almost surely, 2402144140031 is an apocalyptic number.

402144140031 is a deficient number, since it is larger than the sum of its proper divisors (136095103329).

402144140031 is a wasteful number, since it uses less digits than its factorization.

402144140031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373306.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 402144140031 its reverse (130041441204), we get a palindrome (532185581235).

The spelling of 402144140031 in words is "four hundred two billion, one hundred forty-four million, one hundred forty thousand, thirty-one".

Divisors: 1 3 353 1021 1059 3063 360413 371929 1081239 1115787 131290937 379739509 393872811 1139218527 134048046677 402144140031