Search a number
-
+
131501404442412 = 22332275363901307
BaseRepresentation
bin11101111001100110001110…
…011111111100111100101100
3122020121102002222100111022000
4131321212032133330330230
5114214004334014124122
61143402524453452300
736461443250664354
oct3571461637747454
9566542088314260
10131501404442412
113899a483633a24
12128b9a2a341090
13584b6b59442b4
1424689b8175b64
1510309bedb40ac
hex77998e7fcf2c

131501404442412 has 48 divisors (see below), whose sum is σ = 342431459502720. Its totient is φ = 43640701025616.

The previous prime is 131501404442399. The next prime is 131501404442431. The reversal of 131501404442412 is 214244404105131.

131501404442412 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 0 + 1 + 404 + 4 + 4 + 241 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2681926138 + ... + 2681975169.

It is an arithmetic number, because the mean of its divisors is an integer number (7133988739640).

Almost surely, 2131501404442412 is an apocalyptic number.

131501404442412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131501404442412 is an abundant number, since it is smaller than the sum of its proper divisors (210930055060308).

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

131501404442412 is a wasteful number, since it uses less digits than its factorization.

131501404442412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5363901547 (or 5363901539 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 131501404442412 its reverse (214244404105131), we get a palindrome (345745808547543).

The spelling of 131501404442412 in words is "one hundred thirty-one trillion, five hundred one billion, four hundred four million, four hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 227 454 681 908 1362 2043 2724 4086 6129 8172 12258 24516 5363901307 10727802614 16091703921 21455605228 32183407842 48275111763 64366815684 96550223526 144825335289 193100447052 289650670578 579301341156 1217605596689 2435211193378 3652816790067 4870422386756 7305633580134 10958450370201 14611267160268 21916900740402 32875351110603 43833801480804 65750702221206 131501404442412