Search a number
-
+
40130433410431 = 7134167160536503
BaseRepresentation
bin10010001111111100110000…
…01110100110010101111111
312021002102122220101210021111
421013332120032212111333
520224444111423113211
6221203355552542451
711311220356534240
oct1107763016462577
9167072586353244
1040130433410431
1111872248509941
124601668b51a27
13195138c1aac70
149ca475364cc7
15498d40b43421
hex247f983a657f

40130433410431 has 32 divisors (see below), whose sum is σ = 51351132607488. Its totient is φ = 30514778300160.

The previous prime is 40130433410411. The next prime is 40130433410453. The reversal of 40130433410431 is 13401433403104.

It is a happy number.

It is not a de Polignac number, because 40130433410431 - 213 = 40130433402239 is a prime.

It is a super-2 number, since 2×401304334104312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40130433410393 and 40130433410402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40130433410411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80018275 + ... + 80518228.

It is an arithmetic number, because the mean of its divisors is an integer number (1604722893984).

Almost surely, 240130433410431 is an apocalyptic number.

40130433410431 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

40130433410431 is a deficient number, since it is larger than the sum of its proper divisors (11220699197057).

40130433410431 is a wasteful number, since it uses less digits than its factorization.

40130433410431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160536631.

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 40130433410431 its reverse (13401433403104), we get a palindrome (53531866813535).

The spelling of 40130433410431 in words is "forty trillion, one hundred thirty billion, four hundred thirty-three million, four hundred ten thousand, four hundred thirty-one".

Divisors: 1 7 13 41 67 91 287 469 533 871 2747 3731 6097 19229 35711 249977 160536503 1123755521 2086974539 6581996623 10755945701 14608821773 46073976361 75291619907 85565956099 139827294113 440993773741 598961692693 978791058791 3086956416187 5732919058633 40130433410431