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145440343632 = 243197919710247
BaseRepresentation
bin1000011101110011101…
…0111000011001010000
3111220101222122222012210
42013130322320121100
54340330211444012
6150451523152120
713336101344313
oct2073472703120
9456358588183
10145440343632
1156754311901
122422b815640
131093aa1923c
147079d9697a
153bb365a23c
hex21dceb8650

145440343632 has 160 divisors (see below), whose sum is σ = 402574233600. Its totient is φ = 45112564224.

The previous prime is 145440343567. The next prime is 145440343637. The reversal of 145440343632 is 236343044541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145440343637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14188333 + ... + 14198579.

It is an arithmetic number, because the mean of its divisors is an integer number (2516088960).

Almost surely, 2145440343632 is an apocalyptic number.

145440343632 is a gapful number since it is divisible by the number (12) 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 145440343632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201287116800).

145440343632 is an abundant number, since it is smaller than the sum of its proper divisors (257133889968).

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

145440343632 is a wasteful number, since it uses less digits than its factorization.

145440343632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10553 (or 10547 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

The spelling of 145440343632 in words is "one hundred forty-five billion, four hundred forty million, three hundred forty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 79 114 152 158 197 228 237 304 316 394 456 474 591 632 788 912 948 1182 1264 1501 1576 1896 2364 3002 3152 3743 3792 4503 4728 6004 7486 9006 9456 10247 11229 12008 14972 15563 18012 20494 22458 24016 29944 30741 31126 36024 40988 44916 46689 59888 61482 62252 72048 81976 89832 93378 122964 124504 163952 179664 186756 194693 245928 249008 295697 373512 389386 491856 584079 591394 747024 778772 809513 887091 1168158 1182788 1557544 1619026 1774182 2018659 2336316 2365576 2428539 3115088 3238052 3548364 4037318 4672632 4731152 4857078 6055977 6476104 7096728 8074636 9345264 9714156 12111954 12952208 14193456 15380747 16149272 19428312 24223908 30761494 32298544 38354521 38856624 46142241 48447816 61522988 76709042 92284482 96895632 115063563 123045976 153418084 159474061 184568964 230127126 246091952 306836168 318948122 369137928 460254252 478422183 613672336 637896244 738275856 920508504 956844366 1275792488 1841017008 1913688732 2551584976 3030007159 3827377464 6060014318 7654754928 9090021477 12120028636 18180042954 24240057272 36360085908 48480114544 72720171816 145440343632