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2424422040216 = 23311431012114533
BaseRepresentation
bin100011010001111010110…
…100001000001010011000
322120202212010210101222220
4203101322310020022120
5304210204020241331
65053433014144040
7340105303215351
oct43217264101230
98522763711886
102424422040216
118552120454a0
12331a52052020
13147811759287
14854b234cd28
15430e8981296
hex2347ad08298

2424422040216 has 128 divisors (see below), whose sum is σ = 6832820586240. Its totient is φ = 710482752000.

The previous prime is 2424422040211. The next prime is 2424422040241. The reversal of 2424422040216 is 6120402244242.

It is a super-2 number, since 2×24244220402162 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424422040211) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 89286 + ... + 2203818.

It is an arithmetic number, because the mean of its divisors is an integer number (53381410830).

Almost surely, 22424422040216 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 2424422040216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416410293120).

2424422040216 is an abundant number, since it is smaller than the sum of its proper divisors (4408398546024).

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

2424422040216 is a wasteful number, since it uses less digits than its factorization.

2424422040216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114697 (or 2114693 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 2424422040216 its reverse (6120402244242), we get a palindrome (8544824284458).

The spelling of 2424422040216 in words is "two trillion, four hundred twenty-four billion, four hundred twenty-two million, forty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 101 129 132 172 202 258 264 303 344 404 473 516 606 808 946 1032 1111 1212 1419 1892 2222 2424 2838 3333 3784 4343 4444 5676 6666 8686 8888 11352 13029 13332 17372 26058 26664 34744 47773 52116 95546 104232 143319 191092 286638 382184 573276 1146552 2114533 4229066 6343599 8458132 12687198 16916264 23259863 25374396 46519726 50748792 69779589 90924919 93039452 139559178 181849838 186078904 213567833 272774757 279118356 363699676 427135666 545549514 558236712 640703499 727399352 854271332 1000174109 1091099028 1281406998 1708542664 2000348218 2182198056 2349246163 2562813996 3000522327 4000696436 4698492326 5125627992 6001044654 7047738489 8001392872 9183416819 9396984652 12002089308 14095476978 18366833638 18793969304 24004178616 27550250457 28190953956 36733667276 55100500914 56381907912 73467334552 101017585009 110201001828 202035170018 220402003656 303052755027 404070340036 606105510054 808140680072 1212211020108 2424422040216