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234411232440 = 233571125369181
BaseRepresentation
bin1101101001001111111…
…1111000110010111000
3211102001112002102011210
43122103333320302320
512320033233414230
6255404222123120
722635633412560
oct3322377706270
9742045072153
10234411232440
1190460036480
123951ba204a0
131914957aa88
14b4ba329da0
15616e4a4eb0
hex3693ff8cb8

234411232440 has 128 divisors (see below), whose sum is σ = 876758929920. Its totient is φ = 48708825600.

The previous prime is 234411232423. The next prime is 234411232441. The reversal of 234411232440 is 44232114432.

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 = 234411232398 and 234411232407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234411232441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12675351 + ... + 12693830.

It is an arithmetic number, because the mean of its divisors is an integer number (6849679140).

Almost surely, 2234411232440 is an apocalyptic number.

234411232440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234411232440 is an abundant number, since it is smaller than the sum of its proper divisors (642347697480).

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

234411232440 is a wasteful number, since it uses less digits than its factorization.

234411232440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25369213 (or 25369209 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 234411232440 its reverse (44232114432), we get a palindrome (278643346872).

The spelling of 234411232440 in words is "two hundred thirty-four billion, four hundred eleven million, two hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 25369181 50738362 76107543 101476724 126845905 152215086 177584267 202953448 253691810 279060991 304430172 355168534 380537715 507383620 532752801 558121982 608860344 710337068 761075430 837182973 887921335 1014767240 1065505602 1116243964 1395304955 1420674136 1522150860 1674365946 1775842670 1953426937 2131011204 2232487928 2663764005 2790609910 3044301720 3348731892 3551685340 3906853874 4185914865 4262022408 5327528010 5581219820 5860280811 6697463784 7103370680 7813707748 8371829730 9767134685 10655056020 11162439640 11720561622 15627415496 16743659460 19534269370 21310112040 23441123244 29301404055 33487318920 39068538740 46882246488 58602808110 78137077480 117205616220 234411232440