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140370427032 = 233114116379561
BaseRepresentation
bin1000001010111010111…
…0101011110010011000
3111102022122201112002220
42002232232223302120
54244434312131112
6144252453224040
713066336641333
oct2025656536230
9442278645086
10140370427032
11545924a0490
1223255932020
131031054aaa4
146b188d561a
1539b84e298c
hex20aebabc98

140370427032 has 128 divisors (see below), whose sum is σ = 394576600320. Its totient is φ = 41243904000.

The previous prime is 140370426967. The next prime is 140370427033. The reversal of 140370427032 is 230724073041.

140370427032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 140370426984 and 140370427002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140370427033) 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 31 ways as a sum of consecutive naturals, for example, 1724532 + ... + 1804092.

It is an arithmetic number, because the mean of its divisors is an integer number (3082629690).

Almost surely, 2140370427032 is an apocalyptic number.

140370427032 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 140370427032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197288300160).

140370427032 is an abundant number, since it is smaller than the sum of its proper divisors (254206173288).

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

140370427032 is a wasteful number, since it uses less digits than its factorization.

140370427032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79785 (or 79781 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The spelling of 140370427032 in words is "one hundred forty billion, three hundred seventy million, four hundred twenty-seven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 163 164 246 264 326 328 451 489 492 652 902 978 984 1304 1353 1793 1804 1956 2706 3586 3608 3912 5379 5412 6683 7172 10758 10824 13366 14344 20049 21516 26732 40098 43032 53464 73513 79561 80196 147026 159122 160392 220539 238683 294052 318244 441078 477366 588104 636488 875171 882156 954732 1750342 1764312 1909464 2625513 3262001 3500684 5251026 6524002 7001368 9786003 10502052 12968443 13048004 19572006 21004104 25936886 26096008 35882011 38905329 39144012 51873772 71764022 77810658 78288024 103747544 107646033 142652873 143528044 155621316 215292066 285305746 287056088 311242632 427958619 430584132 531706163 570611492 855917238 861168264 1063412326 1141222984 1595118489 1711834476 2126824652 3190236978 3423668952 4253649304 5848767793 6380473956 11697535586 12760947912 17546303379 23395071172 35092606758 46790142344 70185213516 140370427032