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234155338816 = 267286412
BaseRepresentation
bin1101101000010010111…
…1101110110001000000
3211101101200120200010011
43122010233232301000
512314022231320231
6255323001314304
722626405353200
oct3320457566100
9741350520104
10234155338816
1190339647843
123946a195994
1319108553929
14b494358400
156156ca99b1
hex3684beec40

234155338816 has 63 divisors (see below), whose sum is σ = 540576110997. Its totient is φ = 100340674560.

The previous prime is 234155338787. The next prime is 234155338817. The reversal of 234155338816 is 618833551432.

It is a happy number.

The square root of 234155338816 is 483896.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6511844416 + 227643494400 = 80696^2 + 477120^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 234155338816.

It is not an unprimeable number, because it can be changed into a prime (234155338817) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27093856 + ... + 27102496.

Almost surely, 2234155338816 is an apocalyptic number.

234155338816 is the 483896-th square number.

It is an amenable number.

234155338816 is an abundant number, since it is smaller than the sum of its proper divisors (306420772181).

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

234155338816 is an frugal number, since it uses more digits than its factorization.

234155338816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17308 (or 8650 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 49.

Multiplying 234155338816 by its sum of digits (49), we get a square (11473611601984 = 33872722).

234155338816 divided by its sum of digits (49) gives a square (4778680384 = 691282).

The spelling of 234155338816 in words is "two hundred thirty-four billion, one hundred fifty-five million, three hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 8641 17282 34564 60487 69128 120974 138256 241948 276512 423409 483896 553024 846818 967792 1693636 1935584 3387272 3871168 6774544 13549088 27098176 74666881 149333762 298667524 522668167 597335048 1045336334 1194670096 2090672668 2389340192 3658677169 4181345336 4778680384 7317354338 8362690672 14634708676 16725381344 29269417352 33450762688 58538834704 117077669408 234155338816