Search a number
-
+
1040041344030 = 2351317923916979
BaseRepresentation
bin11110010001001110100…
…10110111110000011110
310200102112021021110022220
433020213102313300132
5114020001041002110
62113442143250210
7135066123363243
oct17104722676036
93612467243286
101040041344030
11371096252357
121496978a9966
13770c9a95610
14384a42d75ca
151c0c1bb8370
hexf2274b7c1e

1040041344030 has 128 divisors (see below), whose sum is σ = 2846706508800. Its totient is φ = 240910485504.

The previous prime is 1040041343989. The next prime is 1040041344037. The reversal of 1040041344030 is 304431400401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040041344037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61246081 + ... + 61263059.

It is an arithmetic number, because the mean of its divisors is an integer number (22239894600).

Almost surely, 21040041344030 is an apocalyptic number.

1040041344030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040041344030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423353254400).

1040041344030 is an abundant number, since it is smaller than the sum of its proper divisors (1806665164770).

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

1040041344030 is a wasteful number, since it uses less digits than its factorization.

1040041344030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26258.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1040041344030 its reverse (304431400401), we get a palindrome (1344472744431).

The spelling of 1040041344030 in words is "one trillion, forty billion, forty-one million, three hundred forty-four thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 170 195 221 255 390 442 510 663 1105 1326 2210 3315 6630 9239 16979 18478 27717 33958 46195 50937 55434 84895 92390 101874 120107 138585 157063 169790 220727 240214 254685 277170 288643 314126 360321 441454 471189 509370 577286 600535 662181 720642 785315 865929 942378 1103635 1201070 1324362 1443215 1570630 1731858 1801605 2041819 2207270 2355945 2886430 3310905 3603210 3752359 4083638 4329645 4711890 6125457 6621810 7504718 8659290 10209095 11257077 12250914 18761795 20418190 22514154 30627285 37523590 56285385 61254570 112570770 156868981 313737962 470606943 784344905 941213886 1568689810 2039296753 2353034715 2666772677 4078593506 4706069430 5333545354 6117890259 8000318031 10196483765 12235780518 13333863385 16000636062 20392967530 26667726770 30589451295 34668044801 40001590155 61178902590 69336089602 80003180310 104004134403 173340224005 208008268806 346680448010 520020672015 1040041344030