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1344433415144 = 232950915977129
BaseRepresentation
bin10011100100000110011…
…110011110001111101000
311202112012212122210222112
4103210012132132033220
5134011344423241034
62505342453541452
7166063212321641
oct23440636361750
94675185583875
101344433415144
11479197682696
12198688044888
1399a1980c271
14490dc88c6c8
1524e89c467ce
hex1390679e3e8

1344433415144 has 64 divisors (see below), whose sum is σ = 2614863330000. Its totient is φ = 647265282048.

The previous prime is 1344433415137. The next prime is 1344433415161. The reversal of 1344433415144 is 4415143344431.

It can be written as a sum of positive squares in 8 ways, for example, as 789947664100 + 554485751044 = 888790^2 + 744638^2 .

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, 188582972 + ... + 188590100.

Almost surely, 21344433415144 is an apocalyptic number.

It is an amenable number.

1344433415144 is a deficient number, since it is larger than the sum of its proper divisors (1270429914856).

1344433415144 is a wasteful number, since it uses less digits than its factorization.

1344433415144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9270 (or 9266 counting only the distinct ones).

The product of its digits is 552960, while the sum is 41.

Adding to 1344433415144 its reverse (4415143344431), we get a palindrome (5759576759575).

The spelling of 1344433415144 in words is "one trillion, three hundred forty-four billion, four hundred thirty-three million, four hundred fifteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 29 58 116 232 509 1018 1597 2036 3194 4072 6388 7129 12776 14258 14761 28516 29522 46313 57032 59044 92626 118088 185252 206741 370504 413482 812873 826964 1625746 1653928 3251492 3628661 6502984 7257322 11385013 14514644 22770026 23573317 29029288 45540052 47146634 91080104 94293268 105231169 188586536 210462338 330165377 420924676 660330754 841849352 1320661508 2641323016 5794971617 11589943234 23179886468 46359772936 168054176893 336108353786 672216707572 1344433415144