Search a number
-
+
1331528048144 = 24715178732737
BaseRepresentation
bin10011011000000101010…
…000011001111000010000
311201021220110221020120222
4103120011100121320100
5133303432140020034
62455410123052212
7165125335444160
oct23300520317020
94637813836528
101331528048144
11473774963428
12196086071068
1398740c22228
14486369185a0
1524981c8912e
hex13605419e10

1331528048144 has 40 divisors (see below), whose sum is σ = 2967909291648. Its totient is φ = 566875699200.

The previous prime is 1331528048089. The next prime is 1331528048183. The reversal of 1331528048144 is 4418408251331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1331528048095 and 1331528048104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39349457 + ... + 39383280.

Almost surely, 21331528048144 is an apocalyptic number.

1331528048144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1331528048144 is an abundant number, since it is smaller than the sum of its proper divisors (1636381243504).

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

1331528048144 is a wasteful number, since it uses less digits than its factorization.

1331528048144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78732903 (or 78732897 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The spelling of 1331528048144 in words is "one trillion, three hundred thirty-one billion, five hundred twenty-eight million, forty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 151 302 604 1057 1208 2114 2416 4228 8456 16912 78732737 157465474 314930948 551129159 629861896 1102258318 1259723792 2204516636 4409033272 8818066544 11888643287 23777286574 47554573148 83220503009 95109146296 166441006018 190218292592 332882012036 665764024072 1331528048144