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31344203040024 = 2337918120321603
BaseRepresentation
bin1110010000001111001000…
…00101101000010100011000
311002222110212101212022012210
413020013210011220110120
513102020411434240044
6150355154511235120
76413354366613450
oct710074405502430
9132873771768183
1031344203040024
119a95002524486
123622872218aa0
1314649902ba574
147a50d33cad60
153955046b61b9
hex1c81e4168518

31344203040024 has 64 divisors (see below), whose sum is σ = 89564624605440. Its totient is φ = 8954510705280.

The previous prime is 31344203039969. The next prime is 31344203040067. The reversal of 31344203040024 is 42004030244313.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 31344203039973 and 31344203040000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8618394 + ... + 11703209.

It is an arithmetic number, because the mean of its divisors is an integer number (1399447259460).

Almost surely, 231344203040024 is an apocalyptic number.

It is an amenable number.

31344203040024 is an abundant number, since it is smaller than the sum of its proper divisors (58220421565416).

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

31344203040024 is a wasteful number, since it uses less digits than its factorization.

31344203040024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20330800 (or 20330796 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 31344203040024 its reverse (42004030244313), we get a palindrome (73348233284337).

The spelling of 31344203040024 in words is "thirty-one trillion, three hundred forty-four billion, two hundred three million, forty thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 9181 18362 27543 36724 55086 64267 73448 110172 128534 192801 220344 257068 385602 514136 771204 1542408 20321603 40643206 60964809 81286412 121929618 142251221 162572824 243859236 284502442 426753663 487718472 569004884 853507326 1138009768 1707014652 3414029304 186572637143 373145274286 559717911429 746290548572 1119435822858 1306008460001 1492581097144 2238871645716 2612016920002 3918025380003 4477743291432 5224033840004 7836050760006 10448067680008 15672101520012 31344203040024