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31830841744 = 24132472732
BaseRepresentation
bin11101101001010001…
…000001100110010000
310001011100100022002121
4131221101001212100
51010142143413434
622342313224024
72204540455612
oct355121014620
9101140308077
1031830841744
1112554753589
126204102014
133003793300
14177d66cdb2
15c647257b4
hex769441990

31830841744 has 135 divisors (see below), whose sum is σ = 69179801283. Its totient is φ = 14181613056.

The previous prime is 31830841733. The next prime is 31830841793. The reversal of 31830841744 is 44714803813.

The square root of 31830841744 is 178412.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3202201744 + 28628640000 = 56588^2 + 169200^2 .

It is a super-2 number, since 2×318308417442 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31830841744.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 436038892 + ... + 436038964.

Almost surely, 231830841744 is an apocalyptic number.

31830841744 is the 178412-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31830841744

31830841744 is an abundant number, since it is smaller than the sum of its proper divisors (37348959539).

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

31830841744 is an equidigital number, since it uses as much as digits as its factorization.

31830841744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 31830841744 in words is "thirty-one billion, eight hundred thirty million, eight hundred forty-one thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 16 26 47 52 73 94 104 146 169 188 208 292 338 376 584 611 676 752 949 1168 1222 1352 1898 2209 2444 2704 3431 3796 4418 4888 5329 6862 7592 7943 8836 9776 10658 12337 13724 15184 15886 17672 21316 24674 27448 28717 31772 35344 42632 44603 49348 54896 57434 63544 69277 85264 89206 98696 114868 127088 138554 161257 178412 197392 229736 250463 277108 322514 356824 373321 459472 500926 554216 579839 645028 713648 746642 900601 1001852 1108432 1159678 1290056 1493284 1801202 2003704 2096341 2319356 2580112 2986568 3256019 3602404 4007408 4192682 4638712 5973136 6512038 7204808 8385364 9277424 11771761 13024076 14409616 16770728 23543522 26048152 27252433 33541456 42328247 47087044 52096304 54504866 84656494 94174088 109009732 153032893 169312988 188348176 218019464 306065786 338625976 436038928 612131572 677251952 1224263144 1989427609 2448526288 3978855218 7957710436 15915420872 31830841744