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4141421200 = 245272211297
BaseRepresentation
bin1111011011011001…
…0001001010010000
3101200121210222212101
43312312101022100
531440200434300
61522541010144
7204425333200
oct36666211220
911617728771
104141421200
1118357a7054
12976b53954
135100088b7
142b4048400
151938acb6a
hexf6d91290

4141421200 has 90 divisors (see below), whose sum is σ = 11574270546. Its totient is φ = 1419909120.

The previous prime is 4141421191. The next prime is 4141421201. The reversal of 4141421200 is 21241414.

It can be written as a sum of positive squares in 3 ways, for example, as 574465024 + 3566956176 = 23968^2 + 59724^2 .

It is not an unprimeable number, because it can be changed into a prime (4141421201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 86049 + ... + 125248.

Almost surely, 24141421200 is an apocalyptic number.

4141421200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4141421200 is an abundant number, since it is smaller than the sum of its proper divisors (7432849346).

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

4141421200 is a wasteful number, since it uses less digits than its factorization.

4141421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211329 (or 211311 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 4141421200 is about 64353.8747862163. The cubic root of 4141421200 is about 1605.8924912021.

Adding to 4141421200 its reverse (21241414), we get a palindrome (4162662614).

The spelling of 4141421200 in words is "four billion, one hundred forty-one million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 140 175 196 200 245 280 350 392 400 490 560 700 784 980 1225 1400 1960 2450 2800 3920 4900 9800 19600 211297 422594 845188 1056485 1479079 1690376 2112970 2958158 3380752 4225940 5282425 5916316 7395395 8451880 10353553 10564850 11832632 14790790 16903760 20707106 21129700 23665264 29581580 36976975 41414212 42259400 51767765 59163160 73953950 82828424 84518800 103535530 118326320 147907900 165656848 207071060 258838825 295815800 414142120 517677650 591631600 828284240 1035355300 2070710600 4141421200