Search a number
-
+
1400431240131 = 3711172331530541
BaseRepresentation
bin10100011000010000001…
…101001110001111000011
311221212202110110001201120
4110120100031032033003
5140421040344141011
62551203233403323
7203114664063630
oct24302015161703
94855673401646
101400431240131
1149aa12a203a0
121a74b5709543
13a20a2065a51
144bad19c3187
1526665e44a06
hex1461034e3c3

1400431240131 has 64 divisors (see below), whose sum is σ = 2475510875136. Its totient is φ = 681763737600.

The previous prime is 1400431240123. The next prime is 1400431240133. The reversal of 1400431240131 is 1310421340041.

It is not a de Polignac number, because 1400431240131 - 23 = 1400431240123 is a prime.

It is a super-2 number, since 2×14004312401312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1400431240133) 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 63 ways as a sum of consecutive naturals, for example, 149721 + ... + 1680261.

It is an arithmetic number, because the mean of its divisors is an integer number (38679857424).

Almost surely, 21400431240131 is an apocalyptic number.

1400431240131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1400431240131 is a deficient number, since it is larger than the sum of its proper divisors (1075079635005).

1400431240131 is a wasteful number, since it uses less digits than its factorization.

1400431240131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530812.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1400431240131 its reverse (1310421340041), we get a palindrome (2710852580172).

The spelling of 1400431240131 in words is "one trillion, four hundred billion, four hundred thirty-one million, two hundred forty thousand, one hundred thirty-one".

Divisors: 1 3 7 11 17 21 33 51 77 119 187 231 233 357 561 699 1309 1631 2563 3927 3961 4893 7689 11883 17941 27727 43571 53823 83181 130713 304997 914991 1530541 4591623 10713787 16835951 26019197 32141361 50507853 78057591 117851657 182134379 286211167 353554971 356616053 546403137 858633501 1069848159 2003478169 2496312371 3922776583 6010434507 6062472901 7488937113 11768329749 18187418703 27459436081 42437310307 66687201911 82378308243 127311930921 200061605733 466810413377 1400431240131