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4223324310040 = 23511291049315521
BaseRepresentation
bin111101011101010001101…
…111101100101000011000
3112221202010201210002202101
4331131101233230220120
51023143332010410130
612552100213013144
7614060625216043
oct75352157545030
915852121702671
104223324310040
111389113520160
125826129241b4
132483474369a4
141085a500dc5a
1574cd1e511ca
hex3d751beca18

4223324310040 has 128 divisors (see below), whose sum is σ = 10734058440000. Its totient is φ = 1481379020800.

The previous prime is 4223324310031. The next prime is 4223324310059. The reversal of 4223324310040 is 400134233224.

It is a junction number, because it is equal to n+sod(n) for n = 4223324309990 and 4223324310008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13227480 + ... + 13543000.

Almost surely, 24223324310040 is an apocalyptic number.

4223324310040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4223324310040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367029220000).

4223324310040 is an abundant number, since it is smaller than the sum of its proper divisors (6510734129960).

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

4223324310040 is a wasteful number, since it uses less digits than its factorization.

4223324310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316621 (or 316617 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 4223324310040 its reverse (400134233224), we get a palindrome (4623458543264).

The spelling of 4223324310040 in words is "four trillion, two hundred twenty-three billion, three hundred twenty-four million, three hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1049 1160 1276 1595 2098 2552 3190 4196 5245 6380 8392 10490 11539 12760 20980 23078 30421 41960 46156 57695 60842 92312 115390 121684 152105 230780 243368 304210 315521 334631 461560 608420 631042 669262 1216840 1262084 1338524 1577605 1673155 2524168 2677048 3155210 3346310 3470731 6310420 6692620 6941462 9150109 12620840 13385240 13882924 17353655 18300218 27765848 34707310 36600436 45750545 69414620 73200872 91501090 100651199 138829240 183002180 201302398 330981529 366004360 402604796 503255995 661963058 805209592 1006511990 1323926116 1654907645 2013023980 2647852232 3309815290 3640796819 4026047960 6619630580 7281593638 9598464341 13239261160 14563187276 18203984095 19196928682 29126374552 36407968190 38393857364 47992321705 72815936380 76787714728 95984643410 105583107751 145631872760 191969286820 211166215502 383938573640 422332431004 527915538755 844664862008 1055831077510 2111662155020 4223324310040