Search a number
-
+
10141035680 = 255193335867
BaseRepresentation
bin10010111000111001…
…11110110010100000
3222011202010222201002
421130130332302200
5131232101120210
64354141331132
7506206244456
oct113434766240
928152128632
1010141035680
114334394226
121b70266aa8
13c57c9b039
146c2b969d6
153e546b4a5
hex25c73eca0

10141035680 has 48 divisors (see below), whose sum is σ = 25219162080. Its totient is φ = 3842917632.

The previous prime is 10141035679. The next prime is 10141035689. The reversal of 10141035680 is 8653014101.

10141035680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10141035689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1664894 + ... + 1670973.

It is an arithmetic number, because the mean of its divisors is an integer number (525399210).

Almost surely, 210141035680 is an apocalyptic number.

10141035680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10141035680 is an abundant number, since it is smaller than the sum of its proper divisors (15078126400).

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

10141035680 is a wasteful number, since it uses less digits than its factorization.

10141035680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335901 (or 3335893 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

Adding to 10141035680 its reverse (8653014101), we get a palindrome (18794049781).

The spelling of 10141035680 in words is "ten billion, one hundred forty-one million, thirty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 3335867 6671734 13343468 16679335 26686936 33358670 53373872 63381473 66717340 106747744 126762946 133434680 253525892 266869360 316907365 507051784 533738720 633814730 1014103568 1267629460 2028207136 2535258920 5070517840 10141035680