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241121633664 = 2732412605481
BaseRepresentation
bin1110000010001111111…
…0000010010110000000
3212001101011220010010110
43200203332002112000
512422304114234124
6302434133231320
723264135032542
oct3404376022600
9761334803113
10241121633664
119329397020a
123a893192540
13199788882a2
14b95561d692
156413667029
hex3823f82580

241121633664 has 64 divisors (see below), whose sum is σ = 643137176880. Its totient is φ = 80040345600.

The previous prime is 241121633663. The next prime is 241121633677. The reversal of 241121633664 is 466336121142.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241121633663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1210197 + ... + 1395284.

Almost surely, 2241121633664 is an apocalyptic number.

241121633664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

241121633664 is an abundant number, since it is smaller than the sum of its proper divisors (402015543216).

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

241121633664 is a wasteful number, since it uses less digits than its factorization.

241121633664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605739 (or 2605727 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The spelling of 241121633664 in words is "two hundred forty-one billion, one hundred twenty-one million, six hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 241 384 482 723 964 1446 1928 2892 3856 5784 7712 11568 15424 23136 30848 46272 92544 2605481 5210962 7816443 10421924 15632886 20843848 31265772 41687696 62531544 83375392 125063088 166750784 250126176 333501568 500252352 627920921 1000504704 1255841842 1883762763 2511683684 3767525526 5023367368 7535051052 10046734736 15070102104 20093469472 30140204208 40186938944 60280408416 80373877888 120560816832 241121633664