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1338987574144 = 27114649204557
BaseRepresentation
bin10011011111000001111…
…000001111001110000000
311202000011100100102112201
4103133001320033032000
5133414221304333034
62503042234402544
7165511234406323
oct23370170171600
94660140312481
101338987574144
1147695263a750
12197608290454
139935c4aba3c
1448b434d27ba
1524c6bac4014
hex137c1e0f380

1338987574144 has 64 divisors (see below), whose sum is σ = 2910655782000. Its totient is φ = 608496824320.

The previous prime is 1338987574117. The next prime is 1338987574151. The reversal of 1338987574144 is 4414757898331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6443514 + ... + 6648070.

Almost surely, 21338987574144 is an apocalyptic number.

It is an amenable number.

1338987574144 is an abundant number, since it is smaller than the sum of its proper divisors (1571668207856).

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

1338987574144 is a wasteful number, since it uses less digits than its factorization.

1338987574144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209231 (or 209219 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 64.

The spelling of 1338987574144 in words is "one trillion, three hundred thirty-eight billion, nine hundred eighty-seven million, five hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 4649 9298 18596 37192 51139 74384 102278 148768 204556 204557 297536 409112 409114 595072 818224 818228 1636448 1636456 2250127 3272896 3272912 4500254 6545792 6545824 9000508 13091648 18001016 26183296 36002032 72004064 144008128 288016256 950985493 1901970986 3803941972 7607883944 10460840423 15215767888 20921680846 30431535776 41843361692 60863071552 83686723384 121726143104 167373446768 334746893536 669493787072 1338987574144