Search a number
-
+
140220141303032 = 23767257914490929
BaseRepresentation
bin11111111000011110001011…
…101101100111010011111000
3200101110220200201221102122222
4133320132023231213103320
5121334331322133144112
61214120124343103212
741351366550345140
oct3770361355472370
9611426621842588
10140220141303032
114075103426352a
1213887729741b08
13603191977c95b
14268a996357920
1511326aacde372
hex7f878bb674f8

140220141303032 has 64 divisors (see below), whose sum is σ = 305074651104000. Its totient is φ = 59174458016256.

The previous prime is 140220141303031. The next prime is 140220141303061. The reversal of 140220141303032 is 230303141022041.

It is a junction number, because it is equal to n+sod(n) for n = 140220141302992 and 140220141303010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140220141303031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2430944 + ... + 16921872.

It is an arithmetic number, because the mean of its divisors is an integer number (4766791423500).

Almost surely, 2140220141303032 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 140220141303032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152537325552000).

140220141303032 is an abundant number, since it is smaller than the sum of its proper divisors (164854509800968).

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

140220141303032 is a wasteful number, since it uses less digits than its factorization.

140220141303032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14493588 (or 14493584 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 140220141303032 its reverse (230303141022041), we get a palindrome (370523282325073).

The spelling of 140220141303032 in words is "one hundred forty trillion, two hundred twenty billion, one hundred forty-one million, three hundred three thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 56 67 134 268 469 536 938 1876 2579 3752 5158 10316 18053 20632 36106 72212 144424 172793 345586 691172 1209551 1382344 2419102 4838204 9676408 14490929 28981858 57963716 101436503 115927432 202873006 405746012 811492024 970892243 1941784486 3883568972 6796245701 7767137944 13592491402 27184982804 37372105891 54369965608 74744211782 149488423564 261604741237 298976847128 523209482474 1046418964948 2092837929896 2503931094697 5007862189394 10015724378788 17527517662879 20031448757576 35055035325758 70110070651516 140220141303032