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5040333300431 = 1121321764322549
BaseRepresentation
bin100100101011000101101…
…0001101010001011001111
3122211211222111100002011002
41021112023101222023033
51130040100311103211
614415255215050515
71030103105105252
oct111261321521317
918754874302132
105040333300431
111673658824100
12694a25510a3b
132a73bc203900
14135d4c315099
158b19d5e403b
hex4958b46a2cf

5040333300431 has 72 divisors (see below), whose sum is σ = 6362204864400. Its totient is φ = 3974480040960.

The previous prime is 5040333300391. The next prime is 5040333300439. The reversal of 5040333300431 is 1340033330405.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-5040333300431 is a prime.

It is a super-2 number, since 2×50403333004312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5040333300394 and 5040333300403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5040333300439) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 223516745 + ... + 223539293.

It is an arithmetic number, because the mean of its divisors is an integer number (88363956450).

Almost surely, 25040333300431 is an apocalyptic number.

5040333300431 is a deficient number, since it is larger than the sum of its proper divisors (1321871563969).

5040333300431 is a wasteful number, since it uses less digits than its factorization.

5040333300431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23257 (or 23233 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 29.

Adding to 5040333300431 its reverse (1340033330405), we get a palindrome (6380366630836).

The spelling of 5040333300431 in words is "five trillion, forty billion, three hundred thirty-three million, three hundred thousand, four hundred thirty-one".

Divisors: 1 11 13 17 121 143 169 187 221 643 1573 1859 2057 2431 2873 7073 8359 10931 20449 22549 26741 31603 77803 91949 108667 120241 142103 248039 293137 347633 383333 1011439 1195337 1322651 1563133 1847339 2728429 3224507 3810781 4216663 4983329 13148707 14499007 17194463 20320729 35469577 41918591 46383293 54816619 64783277 159489077 188487091 223528019 246483119 461104501 602982809 712616047 1754379847 2073358001 2450332183 2711314309 3204280547 7838776517 22806938011 26953654013 29824457399 35247086017 41655647111 296490194143 387717946187 458212118221 5040333300431