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42216333324 = 223113171145307
BaseRepresentation
bin100111010100010010…
…100010000000001100
311000222010110221020220
4213110102202000030
51142424340131244
631221030311340
73023105624664
oct472422420014
9130863427226
1042216333324
11169a4024080
1282221b8550
133c9a2b23b9
142086a9b1a4
15117137d319
hex9d44a200c

42216333324 has 96 divisors (see below), whose sum is σ = 112489316352. Its totient is φ = 12205704000.

The previous prime is 42216333317. The next prime is 42216333337. The reversal of 42216333324 is 42333361224.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217879 + ... + 363185.

It is an arithmetic number, because the mean of its divisors is an integer number (1171763712).

Almost surely, 242216333324 is an apocalyptic number.

42216333324 is a gapful number since it is divisible by the number (44) 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 42216333324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56244658176).

42216333324 is an abundant number, since it is smaller than the sum of its proper divisors (70272983028).

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

42216333324 is a wasteful number, since it uses less digits than its factorization.

42216333324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145427 (or 145425 counting only the distinct ones).

The product of its digits is 62208, while the sum is 33.

Adding to 42216333324 its reverse (42333361224), we get a palindrome (84549694548).

The spelling of 42216333324 in words is "forty-two billion, two hundred sixteen million, three hundred thirty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 71 93 124 132 142 186 213 284 341 372 426 682 781 852 1023 1364 1562 2046 2201 2343 3124 4092 4402 4686 6603 8804 9372 13206 24211 26412 48422 72633 96844 145266 145307 290532 290614 435921 581228 871842 1598377 1743684 3196754 4504517 4795131 6393508 9009034 9590262 10316797 13513551 18018068 19180524 20633594 27027102 30950391 41267188 49549687 54054204 61900782 99099374 113484767 123801564 148649061 198198748 226969534 297298122 319820707 340454301 453939068 594596244 639641414 680908602 959462121 1279282828 1361817204 1918924242 3518027777 3837848484 7036055554 10554083331 14072111108 21108166662 42216333324