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31301104042240 = 28546770174699
BaseRepresentation
bin1110001110111110110110…
…01100000000000100000000
311002211100121202111100221121
413013133123030000010000
513100314130113322430
6150323310110202024
76410300352310624
oct707373314000400
9132740552440847
1031301104042240
119a787a623954a
1236164444b3314
1314608b21a1206
147a2da5407184
15394330ad2a7a
hex1c77db300100

31301104042240 has 144 divisors (see below), whose sum is σ = 75244665787200. Its totient is φ = 12475641651200.

The previous prime is 31301104042231. The next prime is 31301104042253. The reversal of 31301104042240 is 4224040110313.

It is a super-2 number, since 2×313011040422402 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 418992411 + ... + 419067109.

It is an arithmetic number, because the mean of its divisors is an integer number (522532401300).

Almost surely, 231301104042240 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 31301104042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37622332893600).

31301104042240 is an abundant number, since it is smaller than the sum of its proper divisors (43943561744960).

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

31301104042240 is an equidigital number, since it uses as much as digits as its factorization.

31301104042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75888 (or 75874 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 31301104042240 its reverse (4224040110313), we get a palindrome (35525144152553).

The spelling of 31301104042240 in words is "thirty-one trillion, three hundred one billion, one hundred four million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 467 640 701 934 1280 1402 1868 2335 2804 3505 3736 4670 5608 7010 7472 9340 11216 14020 14944 18680 22432 28040 29888 37360 44864 56080 59776 74699 74720 89728 112160 119552 149398 149440 179456 224320 298796 298880 327367 373495 448640 597592 597760 654734 746990 897280 1195184 1309468 1493980 1636835 2390368 2618936 2987960 3273670 4780736 5237872 5975920 6547340 9561472 10475744 11951840 13094680 19122944 20951488 23903680 26189360 34884433 41902976 47807360 52363999 52378720 69768866 83805952 95614720 104727998 104757440 139537732 174422165 209455996 209514880 261819995 279075464 348844330 418911992 419029760 523639990 558150928 697688660 837823984 1047279980 1116301856 1395377320 1675647968 2094559960 2232603712 2790754640 3351295936 4189119920 4465207424 5581509280 6702591872 8378239840 8930414848 11163018560 13405183744 16756479680 22326037120 24453987533 33512959360 44652074240 48907975066 67025918720 97815950132 122269937665 195631900264 244539875330 391263800528 489079750660 782527601056 978159501320 1565055202112 1956319002640 3130110404224 3912638005280 6260220808448 7825276010560 15650552021120 31301104042240