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241016429200 = 24528316344537
BaseRepresentation
bin1110000001110110110…
…0101101101010010000
3212001002211221011201211
43200131230231222100
512422100201213300
6302415454305504
723261416563151
oct3403554555220
9761084834654
10241016429200
119323a544578
123a863ab8294
131995cb41921
14b945675928
1564092d54ba
hex381db2da90

241016429200 has 120 divisors (see below), whose sum is σ = 589626823968. Its totient is φ = 94658595840.

The previous prime is 241016429197. The next prime is 241016429201. The reversal of 241016429200 is 2924610142.

It is a super-2 number, since 2×2410164292002 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (241016429201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5389332 + ... + 5433868.

Almost surely, 2241016429200 is an apocalyptic number.

241016429200 is a gapful number since it is divisible by the number (20) 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 241016429200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294813411984).

241016429200 is an abundant number, since it is smaller than the sum of its proper divisors (348610394768).

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

241016429200 is a wasteful number, since it uses less digits than its factorization.

241016429200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44801 (or 44790 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 241016429200 in words is "two hundred forty-one billion, sixteen million, four hundred twenty-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 163 166 200 326 332 400 415 652 664 815 830 1304 1328 1630 1660 2075 2608 3260 3320 4075 4150 6520 6640 8150 8300 13040 13529 16300 16600 27058 32600 33200 44537 54116 65200 67645 89074 108232 135290 178148 216464 222685 270580 338225 356296 445370 541160 676450 712592 890740 1082320 1113425 1352900 1781480 2226850 2705800 3562960 3696571 4453700 5411600 7259531 7393142 8907400 14519062 14786284 17814800 18482855 29038124 29572568 36297655 36965710 58076248 59145136 72595310 73931420 92414275 116152496 145190620 147862840 181488275 184828550 290381240 295725680 362976550 369657100 580762480 602541073 725953100 739314200 1205082146 1451906200 1478628400 2410164292 2903812400 3012705365 4820328584 6025410730 9640657168 12050821460 15063526825 24101642920 30127053650 48203285840 60254107300 120508214600 241016429200