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1132443035424 = 253218612112893
BaseRepresentation
bin10000011110101010110…
…111010110011100100000
311000021000220100201200100
4100132222313112130200
5122023220404113144
62224123120222400
7144546664656441
oct20365267263440
94007026321610
101132443035424
113a72a2630768
12163584a6aa00
1382a3434635c
143cb4c1752c8
151e6cdd02269
hex107aadd6720

1132443035424 has 72 divisors (see below), whose sum is σ = 3222116866332. Its totient is φ = 377277995520.

The previous prime is 1132443035369. The next prime is 1132443035461. The reversal of 1132443035424 is 4245303442311.

1132443035424 is a `hidden beast` number, since 1 + 1 + 324 + 4 + 303 + 5 + 4 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 945040625424 + 187402410000 = 972132^2 + 432900^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 520479 + ... + 1592414.

Almost surely, 21132443035424 is an apocalyptic number.

It is an amenable number.

1132443035424 is an abundant number, since it is smaller than the sum of its proper divisors (2089673830908).

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

1132443035424 is a wasteful number, since it uses less digits than its factorization.

1132443035424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114770 (or 2114759 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 1132443035424 its reverse (4245303442311), we get a palindrome (5377746477735).

The spelling of 1132443035424 in words is "one trillion, one hundred thirty-two billion, four hundred forty-three million, thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1861 3722 5583 7444 11166 14888 16749 22332 29776 33498 44664 59552 66996 89328 133992 178656 267984 535968 2112893 4225786 6338679 8451572 12677358 16903144 19016037 25354716 33806288 38032074 50709432 67612576 76064148 101418864 152128296 202837728 304256592 608513184 3932093873 7864187746 11796281619 15728375492 23592563238 31456750984 35388844857 47185126476 62913501968 70777689714 94370252952 125827003936 141555379428 188740505904 283110758856 377481011808 566221517712 1132443035424