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42324422112 = 25327180111657
BaseRepresentation
bin100111011010101110…
…110110110111100000
311001020122212102012100
4213122232312313200
51143140023001422
631235451130400
73025560436440
oct473256666740
9131218772170
1042324422112
1116a4a03a855
128252443a00
133cb67c886b
142097196120
15117aace7ac
hex9dabb6de0

42324422112 has 144 divisors (see below), whose sum is σ = 137642555232. Its totient is φ = 12084940800.

The previous prime is 42324422029. The next prime is 42324422149. The reversal of 42324422112 is 21122442324.

It is a happy number.

42324422112 is a `hidden beast` number, since 4 + 2 + 3 + 2 + 442 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×423244221122 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3624988 + ... + 3636644.

It is an arithmetic number, because the mean of its divisors is an integer number (955851078).

Almost surely, 242324422112 is an apocalyptic number.

42324422112 is a gapful number since it is divisible by the number (42) 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 42324422112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68821277616).

42324422112 is an abundant number, since it is smaller than the sum of its proper divisors (95318133120).

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

42324422112 is a wasteful number, since it uses less digits than its factorization.

42324422112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13481 (or 13470 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 42324422112 its reverse (21122442324), we get a palindrome (63446864436).

The spelling of 42324422112 in words is "forty-two billion, three hundred twenty-four million, four hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1801 2016 3602 5403 7204 10806 11657 12607 14408 16209 21612 23314 25214 28816 32418 34971 37821 43224 46628 50428 57632 64836 69942 75642 81599 86448 93256 100856 104913 113463 129672 139884 151284 163198 172896 186512 201712 209826 226926 244797 259344 279768 302568 326396 373024 403424 419652 453852 489594 518688 559536 605136 652792 734391 839304 907704 979188 1119072 1210272 1305584 1468782 1678608 1815408 1958376 2611168 2937564 3357216 3630816 3916752 5875128 7833504 11750256 20994257 23500512 41988514 62982771 83977028 125965542 146959799 167954056 188948313 251931084 293919598 335908112 377896626 440879397 503862168 587839196 671816224 755793252 881758794 1007724336 1175678392 1322638191 1511586504 1763517588 2015448672 2351356784 2645276382 3023173008 3527035176 4702713568 5290552764 6046346016 7054070352 10581105528 14108140704 21162211056 42324422112