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144641341696 = 286137924439
BaseRepresentation
bin1000011010110101001…
…0111011100100000000
3111211100022012110121111
42012231102323210000
54332211140413241
6150240341533104
713310230055515
oct2065522734400
9454308173544
10144641341696
11563842a2925
1224048114194
1310841325727
147001c0b30c
153b6842dc81
hex21ad4bb900

144641341696 has 72 divisors (see below), whose sum is σ = 294237070400. Its totient is φ = 70944491520.

The previous prime is 144641341657. The next prime is 144641341699. The reversal of 144641341696 is 696143146441.

It is a super-2 number, since 2×1446413416962 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144641341699) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5906245 + ... + 5930683.

Almost surely, 2144641341696 is an apocalyptic number.

144641341696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144641341696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147118535200).

144641341696 is an abundant number, since it is smaller than the sum of its proper divisors (149595728704).

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

144641341696 is an equidigital number, since it uses as much as digits as its factorization.

144641341696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24895 (or 24881 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 49.

The spelling of 144641341696 in words is "one hundred forty-four billion, six hundred forty-one million, three hundred forty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 379 488 758 976 1516 1952 3032 3904 6064 7808 12128 15616 23119 24256 24439 46238 48512 48878 92476 97024 97756 184952 195512 369904 391024 739808 782048 1479616 1490779 1564096 2959232 2981558 3128192 5918464 5963116 6256384 9262381 11926232 18524762 23852464 37049524 47704928 74099048 95409856 148198096 190819712 296396192 381639424 565005241 592792384 1130010482 1185584768 2260020964 2371169536 4520041928 9040083856 18080167712 36160335424 72320670848 144641341696