Search a number
-
+
40311002102031 = 337320452055861
BaseRepresentation
bin10010010101001101000101…
…11101011111100100001111
312021201200202001020201202000
421022212202331133210033
520240423413014231111
6221422341350403343
711330242132225323
oct1112464275374417
9167650661221660
1040311002102031
1111931888865481
124630661060553
1319654078a86cb
149d50c48b7983
1549d8ad232c56
hex24a9a2f5f90f

40311002102031 has 16 divisors (see below), whose sum is σ = 60538085351520. Its totient is φ = 26505864394560.

The previous prime is 40311002102011. The next prime is 40311002102051. The reversal of 40311002102031 is 13020120011304.

40311002102031 is a `hidden beast` number, since 403 + 1 + 1 + 0 + 0 + 210 + 20 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (40311002102011) and next prime (40311002102051).

It is not a de Polignac number, because 40311002102031 - 25 = 40311002101999 is a prime.

It is a super-2 number, since 2×403110021020312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40311002101995 and 40311002102013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40311002102011) 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, 10226025960 + ... + 10226029901.

It is an arithmetic number, because the mean of its divisors is an integer number (3783630334470).

Almost surely, 240311002102031 is an apocalyptic number.

40311002102031 is a deficient number, since it is larger than the sum of its proper divisors (20227083249489).

40311002102031 is a wasteful number, since it uses less digits than its factorization.

40311002102031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20452055943 (or 20452055937 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 40311002102031 its reverse (13020120011304), we get a palindrome (53331122113335).

The spelling of 40311002102031 in words is "forty trillion, three hundred eleven billion, two million, one hundred two thousand, thirty-one".

Divisors: 1 3 9 27 73 219 657 1971 20452055861 61356167583 184068502749 552205508247 1493000077853 4479000233559 13437000700677 40311002102031