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42122232384 = 2632315236263
BaseRepresentation
bin100111001110101011…
…100100001001000000
311000201120102010000220
4213032223210021000
51142231242414014
631203425343040
73020554032141
oct471653441100
9130646363026
1042122232384
11169559a1701
1281b6797a80
133c8395597b
1420783a3ac8
151167e916a9
hex9ceae4240

42122232384 has 112 divisors (see below), whose sum is σ = 116388928512. Its totient is φ = 13419315712.

The previous prime is 42122232379. The next prime is 42122232403. The reversal of 42122232384 is 48323222124.

It is a super-2 number, since 2×421222323842 (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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6722437 + ... + 6728699.

Almost surely, 242122232384 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 42122232384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58194464256).

42122232384 is an abundant number, since it is smaller than the sum of its proper divisors (74266696128).

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

42122232384 is a wasteful number, since it uses less digits than its factorization.

42122232384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7824 (or 7814 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The spelling of 42122232384 in words is "forty-two billion, one hundred twenty-two million, two hundred thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 1523 2208 3046 4416 4569 6092 6263 9138 12184 12526 18276 18789 24368 25052 35029 36552 37578 48736 50104 70058 73104 75156 97472 100208 105087 140116 144049 146208 150312 200416 210174 280232 288098 292416 300624 400832 420348 432147 560464 576196 601248 840696 864294 1120928 1152392 1202496 1681392 1728588 2241856 2304784 3362784 3457176 4609568 6725568 6914352 9219136 9538549 13828704 19077098 27657408 28615647 38154196 57231294 76308392 114462588 152616784 219386627 228925176 305233568 438773254 457850352 610467136 658159881 877546508 915700704 1316319762 1755093016 1831401408 2632639524 3510186032 5265279048 7020372064 10530558096 14040744128 21061116192 42122232384