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240114404432 = 2472615020793
BaseRepresentation
bin1101111110011111101…
…1110000110001010000
3211221202222121120101002
43133213323300301100
512413223241420212
6302150153001132
723230154522300
oct3374773606120
9757688546332
10240114404432
1192917359a61
123a6519b31a8
1319847cb9766
14b89b94d600
1563a5008ac2
hex37e7ef0c50

240114404432 has 60 divisors (see below), whose sum is σ = 550048065876. Its totient is φ = 101219166720.

The previous prime is 240114404377. The next prime is 240114404437. The reversal of 240114404432 is 234404411042.

It can be written as a sum of positive squares in 2 ways, for example, as 52292712976 + 187821691456 = 228676^2 + 433384^2 .

It is a super-2 number, since 2×2401144044322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240114404395 and 240114404404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240114404437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2462573 + ... + 2558220.

Almost surely, 2240114404432 is an apocalyptic number.

It is an amenable number.

240114404432 is an abundant number, since it is smaller than the sum of its proper divisors (309933661444).

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

240114404432 is a wasteful number, since it uses less digits than its factorization.

240114404432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5020876 (or 5020863 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 240114404432 its reverse (234404411042), we get a palindrome (474518815474).

The spelling of 240114404432 in words is "two hundred forty billion, one hundred fourteen million, four hundred four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 61 98 112 122 196 244 392 427 488 784 854 976 1708 2989 3416 5978 6832 11956 23912 47824 5020793 10041586 20083172 35145551 40166344 70291102 80332688 140582204 246018857 281164408 306268373 492037714 562328816 612536746 984075428 1225073492 1968150856 2143878611 2450146984 3936301712 4287757222 4900293968 8575514444 15007150277 17151028888 30014300554 34302057776 60028601108 120057202216 240114404432