Search a number
-
+
40413100131404 = 227111310093181851
BaseRepresentation
bin10010011000001011010000…
…11110100100010001001100
312022002110021102201000020022
421030011220132210101030
520244112012113201104
6221541304421441312
711340515203162460
oct1114055036442114
9168073242630208
1040413100131404
1111971110503050
1246483b5570238
131971c28c66040
149da00c4304a0
154a1386745bbe
hex24c1687a444c

40413100131404 has 48 divisors (see below), whose sum is σ = 94956654863616. Its totient is φ = 14534181864000.

The previous prime is 40413100131331. The next prime is 40413100131427.

It is a happy number.

40413100131404 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×404131001314042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5046586922 + ... + 5046594929.

It is an arithmetic number, because the mean of its divisors is an integer number (1978263642992).

Almost surely, 240413100131404 is an apocalyptic number.

40413100131404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40413100131404 is an abundant number, since it is smaller than the sum of its proper divisors (54543554732212).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40413100131404 is a wasteful number, since it uses less digits than its factorization.

40413100131404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10093181886 (or 10093181884 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 40413100 and 131404, that added together give a palindrome (40544504).

The spelling of 40413100131404 in words is "forty trillion, four hundred thirteen billion, one hundred million, one hundred thirty-one thousand, four hundred four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 10093181851 20186363702 40372727404 70652272957 111025000361 131211364063 141304545914 222050000722 262422728126 282609091828 444100001444 524845456252 777175002527 918479548441 1443325004693 1554350005054 1836959096882 2886650009386 3108700010108 3673918193764 5773300018772 10103275032851 20206550065702 40413100131404