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25441040130 = 2351135910799
BaseRepresentation
bin10111101100011001…
…110111011100000010
32102200000210202010120
4113230121313130002
5404100401241010
615404253441110
71560311162442
oct275431673402
972600722116
1025441040130
11a875893000
124b201a0196
132525a16bcc
141334b92122
159dd790e70
hex5ec677702

25441040130 has 128 divisors (see below), whose sum is σ = 68304384000. Its totient is φ = 6062429120.

The previous prime is 25441040129. The next prime is 25441040143. The reversal of 25441040130 is 3104014452.

It is a self number, because there is not a number n which added to its sum of digits gives 25441040130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2350471 + ... + 2361269.

It is an arithmetic number, because the mean of its divisors is an integer number (533628000).

Almost surely, 225441040130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25441040130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34152192000).

25441040130 is an abundant number, since it is smaller than the sum of its proper divisors (42863343870).

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

25441040130 is a wasteful number, since it uses less digits than its factorization.

25441040130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10901 (or 10879 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 25441040130 its reverse (3104014452), we get a palindrome (28545054582).

The spelling of 25441040130 in words is "twenty-five billion, four hundred forty-one million, forty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 59 66 110 118 121 165 177 242 295 330 354 363 590 605 649 726 885 1210 1298 1331 1770 1815 1947 2662 3245 3630 3894 3993 6490 6655 7139 7986 9735 10799 13310 14278 19470 19965 21417 21598 32397 35695 39930 42834 53995 64794 71390 78529 107085 107990 118789 157058 161985 214170 235587 237578 323970 356367 392645 471174 593945 637141 712734 785290 1177935 1187890 1274282 1306679 1781835 1911423 2355870 2613358 3185705 3563670 3822846 3920037 6371410 6533395 7008551 7840074 9557115 13066790 14017102 14373469 19114230 19600185 21025653 28746938 35042755 39200370 42051306 43120407 70085510 71867345 77094061 86240814 105128265 143734690 154188122 210256530 215602035 231282183 385470305 431204070 462564366 770940610 848034671 1156410915 1696069342 2312821830 2544104013 4240173355 5088208026 8480346710 12720520065 25441040130