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140883837284676 = 2232915714503177797
BaseRepresentation
bin100000000010001000010011…
…000100110111000101000100
3200110211100210212000121120110
4200002020103010313011010
5121431220044321102201
61215345050311233020
741450343552200433
oct4002102304670504
9613740725017513
10140883837284676
1140987555349872
1213974294078770
13607c39a7b1c15
1426b0b57ca711a
151144aa2ad06d6
hex802213137144

140883837284676 has 96 divisors (see below), whose sum is σ = 342255972522240. Its totient is φ = 45049762727424.

The previous prime is 140883837284653. The next prime is 140883837284677. The reversal of 140883837284676 is 676482738388041.

It is a super-3 number, since 3×1408838372846763 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140883837284598 and 140883837284607.

It is not an unprimeable number, because it can be changed into a prime (140883837284677) 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, 792297010 + ... + 792474806.

It is an arithmetic number, because the mean of its divisors is an integer number (3565166380440).

Almost surely, 2140883837284676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140883837284676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171127986261120).

140883837284676 is an abundant number, since it is smaller than the sum of its proper divisors (201372135237564).

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

140883837284676 is a wasteful number, since it uses less digits than its factorization.

140883837284676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192493 (or 192491 counting only the distinct ones).

The product of its (nonzero) digits is 2080899072, while the sum is 75.

The spelling of 140883837284676 in words is "one hundred forty trillion, eight hundred eighty-three billion, eight hundred thirty-seven million, two hundred eighty-four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 12 29 58 87 116 157 174 314 348 471 628 942 1884 4553 9106 13659 14503 18212 27318 29006 43509 54636 58012 87018 174036 177797 355594 420587 533391 711188 841174 1066782 1261761 1682348 2133564 2276971 2523522 4553942 5047044 5156113 6830913 9107884 10312226 13661826 15468339 20624452 27323652 27914129 30936678 55828258 61873356 66032159 83742387 111656516 132064318 167484774 198096477 264128636 334969548 396192954 792385908 809509741 1619019482 2428529223 2578589891 3238038964 4857058446 5157179782 7735769673 9714116892 10314359564 15471539346 30943078692 74779106839 149558213678 224337320517 299116427356 404838612887 448674641034 809677225774 897349282068 1214515838661 1619354451548 2429031677322 4858063354644 11740319773723 23480639547446 35220959321169 46961279094892 70441918642338 140883837284676