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1144405324032 = 2832221670919
BaseRepresentation
bin10000101001110011110…
…111110111000100000000
311001101220120111221201120
4100221303313313010000
5122222220230332112
62233422121432240
7145452300516435
oct20516367670400
94041816457646
101144405324032
11401380a751a3
1216596303b680
1383bbc735c39
143d564b77b8c
151eb7e0c3e8c
hex10a73df7100

1144405324032 has 72 divisors (see below), whose sum is σ = 3047162986560. Its totient is φ = 381296117760.

The previous prime is 1144405323911. The next prime is 1144405324039. The reversal of 1144405324032 is 2304235044411.

It is a junction number, because it is equal to n+sod(n) for n = 1144405323984 and 1144405324002.

It is not an unprimeable number, because it can be changed into a prime (1144405324039) by changing a digit.

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, 1370269 + ... + 2041187.

Almost surely, 21144405324032 is an apocalyptic number.

1144405324032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1144405324032 is an abundant number, since it is smaller than the sum of its proper divisors (1902757662528).

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

1144405324032 is an equidigital number, since it uses as much as digits as its factorization.

1144405324032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673159 (or 673145 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 1144405324032 in words is "one trillion, one hundred forty-four billion, four hundred five million, three hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 2221 4442 6663 8884 13326 17768 26652 35536 53304 71072 106608 142144 213216 284288 426432 568576 670919 852864 1341838 1705728 2012757 2683676 4025514 5367352 8051028 10734704 16102056 21469408 32204112 42938816 64408224 85877632 128816448 171755264 257632896 515265792 1490111099 2980222198 4470333297 5960444396 8940666594 11920888792 17881333188 23841777584 35762666376 47683555168 71525332752 95367110336 143050665504 190734220672 286101331008 381468441344 572202662016 1144405324032