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241114052000 = 2553371629149
BaseRepresentation
bin1110000010001110000…
…1000111010110100000
3212001100122121221001002
43200203201013112200
512422300144131000
6302433302531132
723264013424553
oct3404341072640
9761318557032
10241114052000
119328a661a78
123a890736aa8
13199771323b3
14b95460869a
156412b6a8d5
hex38238475a0

241114052000 has 96 divisors (see below), whose sum is σ = 608428875600. Its totient is φ = 93838924800.

The previous prime is 241114051949. The next prime is 241114052029. The reversal of 241114052000 is 250411142.

It is a happy number.

241114052000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 70409561104 + 170704490896 = 265348^2 + 413164^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 666575 + ... + 962574.

Almost surely, 2241114052000 is an apocalyptic number.

241114052000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241114052000 is an abundant number, since it is smaller than the sum of its proper divisors (367314823600).

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

241114052000 is a wasteful number, since it uses less digits than its factorization.

241114052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629211 (or 1629193 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 241114052000 its reverse (250411142), we get a palindrome (241364463142).

The spelling of 241114052000 in words is "two hundred forty-one billion, one hundred fourteen million, fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 125 148 160 185 200 250 296 370 400 500 592 740 800 925 1000 1184 1480 1850 2000 2960 3700 4000 4625 5920 7400 9250 14800 18500 29600 37000 74000 148000 1629149 3258298 6516596 8145745 13033192 16291490 26066384 32582980 40728725 52132768 60278513 65165960 81457450 120557026 130331920 162914900 203643625 241114052 260663840 301392565 325829800 407287250 482228104 602785130 651659600 814574500 964456208 1205570260 1303319200 1506962825 1629149000 1928912416 2411140520 3013925650 3258298000 4822281040 6027851300 6516596000 7534814125 9644562080 12055702600 15069628250 24111405200 30139256500 48222810400 60278513000 120557026000 241114052000