Search a number
-
+
140030131344 = 24310146436221
BaseRepresentation
bin1000001001101001110…
…0100011110010010000
3111101102221101201011220
42002122130203302100
54243240203200334
6144155015405040
713055035322535
oct2023234436220
9441387351156
10140030131344
11544283a4284
122317b983780
1310287bb19ac
146ac5632d8c
1539986c4449
hex209a723c90

140030131344 has 80 divisors (see below), whose sum is σ = 365463555264. Its totient is φ = 46197184000.

The previous prime is 140030131301. The next prime is 140030131349. The reversal of 140030131344 is 443131030041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (140030131349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22506154 + ... + 22512374.

Almost surely, 2140030131344 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 140030131344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182731777632).

140030131344 is an abundant number, since it is smaller than the sum of its proper divisors (225433423920).

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

140030131344 is a wasteful number, since it uses less digits than its factorization.

140030131344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10976 (or 10970 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 140030131344 its reverse (443131030041), we get a palindrome (583161161385).

The spelling of 140030131344 in words is "one hundred forty billion, thirty million, one hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2424 4643 4848 6221 9286 12442 13929 18572 18663 24884 27858 37144 37326 49768 55716 74288 74652 99536 111432 149304 222864 298608 468943 628321 937886 1256642 1406829 1875772 1884963 2513284 2813658 3751544 3769926 5026568 5627316 7503088 7539852 10053136 11254632 15079704 22509264 28884103 30159408 57768206 86652309 115536412 173304618 231072824 346609236 462145648 693218472 1386436944 2917294403 5834588806 8751883209 11669177612 17503766418 23338355224 35007532836 46676710448 70015065672 140030131344