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132234312131412 = 22337476336702709
BaseRepresentation
bin11110000100010000110011…
…001100111010001101010100
3122100012110212120110200212020
4132010100303030322031110
5114313011332401201122
61145123334313053140
736565420345363221
oct3604206314721524
9570173776420766
10132234312131412
1139152290947407
12129b7a8b6b71b0
1358a28469a9a5a
142492263b3c948
151044ab7ea2c5c
hex78443333a354

132234312131412 has 48 divisors (see below), whose sum is σ = 323628080805120. Its totient is φ = 41974318737792.

The previous prime is 132234312131381. The next prime is 132234312131461. The reversal of 132234312131412 is 214131213432231.

132234312131412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1322343121314122 (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 3168330487 + ... + 3168372222.

It is an arithmetic number, because the mean of its divisors is an integer number (6742251683440).

Almost surely, 2132234312131412 is an apocalyptic number.

132234312131412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132234312131412 is an abundant number, since it is smaller than the sum of its proper divisors (191393768673708).

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

132234312131412 is a wasteful number, since it uses less digits than its factorization.

132234312131412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6336702800 (or 6336702798 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

Adding to 132234312131412 its reverse (214131213432231), we get a palindrome (346365525563643).

The spelling of 132234312131412 in words is "one hundred thirty-two trillion, two hundred thirty-four billion, three hundred twelve million, one hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 37 47 74 94 111 141 148 188 222 282 444 564 1739 3478 5217 6956 10434 20868 6336702709 12673405418 19010108127 25346810836 38020216254 76040432508 234458000233 297825027323 468916000466 595650054646 703374000699 893475081969 937832000932 1191300109292 1406748001398 1786950163938 2813496002796 3573900327876 11019526010951 22039052021902 33058578032853 44078104043804 66117156065706 132234312131412