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332014342440 = 2335111889133153
BaseRepresentation
bin1001101010011011001…
…10001101000100101000
31011201222122120010110210
410311031212031010220
520414431132424230
6412305243341120
732662424226564
oct4651546150450
91151878503423
10332014342440
11118896493650
125441ab217a0
13254026202c1
14120d8cda6a4
15898307eeb0
hex4d4d98d128

332014342440 has 128 divisors (see below), whose sum is σ = 1087175779200. Its totient is φ = 80445112320.

The previous prime is 332014342339. The next prime is 332014342489. The reversal of 332014342440 is 44243410233.

It is a happy number.

It is a super-2 number, since 2×3320143424402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 332014342398 and 332014342407.

It is an unprimeable number.

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, 2426904 + ... + 2560056.

It is an arithmetic number, because the mean of its divisors is an integer number (8493560775).

Almost surely, 2332014342440 is an apocalyptic number.

332014342440 is a gapful number since it is divisible by the number (30) 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 332014342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543587889600).

332014342440 is an abundant number, since it is smaller than the sum of its proper divisors (755161436760).

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

332014342440 is a wasteful number, since it uses less digits than its factorization.

332014342440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135067 (or 135063 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 332014342440 its reverse (44243410233), we get a palindrome (376257752673).

The spelling of 332014342440 in words is "three hundred thirty-two billion, fourteen million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1889 3778 5667 7556 9445 11334 15112 18890 20779 22668 28335 37780 41558 45336 56670 62337 75560 83116 103895 113340 124674 133153 166232 207790 226680 249348 266306 311685 399459 415580 498696 532612 623370 665765 798918 831160 1065224 1246740 1331530 1464683 1597836 1997295 2493480 2663060 2929366 3195672 3994590 4394049 5326120 5858732 7323415 7989180 8788098 11717464 14646830 15978360 17576196 21970245 29293660 35152392 43940490 58587320 87880980 175761960 251526017 503052034 754578051 1006104068 1257630085 1509156102 2012208136 2515260170 2766786187 3018312204 3772890255 5030520340 5533572374 6036624408 7545780510 8300358561 10061040680 11067144748 13833930935 15091561020 16600717122 22134289496 27667861870 30183122040 33201434244 41501792805 55335723740 66402868488 83003585610 110671447480 166007171220 332014342440