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234334221440 = 2751133286111
BaseRepresentation
bin1101101000111101101…
…0000111010010000000
3211101212011011211221112
43122033122013102000
512314404030041230
6255352431342452
722634010005654
oct3321732072200
9741764154845
10234334221440
1190420616a20
12394ba081a28
1319136626037
14b4b0000a64
156167841d95
hex368f687480

234334221440 has 64 divisors (see below), whose sum is σ = 611133016320. Its totient is φ = 85212441600.

The previous prime is 234334221427. The next prime is 234334221559. The reversal of 234334221440 is 44122433432.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 234334221397 and 234334221406.

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 7 ways as a sum of consecutive naturals, for example, 16636016 + ... + 16650095.

It is an arithmetic number, because the mean of its divisors is an integer number (9548953380).

Almost surely, 2234334221440 is an apocalyptic number.

234334221440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234334221440 is an abundant number, since it is smaller than the sum of its proper divisors (376798794880).

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

234334221440 is a wasteful number, since it uses less digits than its factorization.

234334221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33286141 (or 33286129 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 234334221440 its reverse (44122433432), we get a palindrome (278456654872).

The spelling of 234334221440 in words is "two hundred thirty-four billion, three hundred thirty-four million, two hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 33286111 66572222 133144444 166430555 266288888 332861110 366147221 532577776 665722220 732294442 1065155552 1331444440 1464588884 1830736105 2130311104 2662888880 2929177768 3661472210 4260622208 5325777760 5858355536 7322944420 10651555520 11716711072 14645888840 21303111040 23433422144 29291777680 46866844288 58583555360 117167110720 234334221440