Search a number
-
+
10141434144 = 253311737771
BaseRepresentation
bin10010111000111101…
…00000000100100000
3222011202220020022000
421130132200010200
5131232201343034
64354154044000
7506212524252
oct113436400440
928152806260
1010141434144
114334636636
121b70419600
13c580aa50a
146c2c5bcd2
153e54e9599
hex25c7a0120

10141434144 has 48 divisors (see below), whose sum is σ = 29579185440. Its totient is φ = 3380477760.

The previous prime is 10141434113. The next prime is 10141434187. The reversal of 10141434144 is 44143414101.

10141434144 is a `hidden beast` number, since 101 + 4 + 143 + 414 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5868022 + ... + 5869749.

It is an arithmetic number, because the mean of its divisors is an integer number (616233030).

Almost surely, 210141434144 is an apocalyptic number.

It is an amenable number.

10141434144 is an abundant number, since it is smaller than the sum of its proper divisors (19437751296).

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

10141434144 is a wasteful number, since it uses less digits than its factorization.

10141434144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11737790 (or 11737776 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10141434144 its reverse (44143414101), we get a palindrome (54284848245).

The spelling of 10141434144 in words is "ten billion, one hundred forty-one million, four hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 11737771 23475542 35213313 46951084 70426626 93902168 105639939 140853252 187804336 211279878 281706504 316919817 375608672 422559756 563413008 633839634 845119512 1126826016 1267679268 1690239024 2535358536 3380478048 5070717072 10141434144