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1144206280 = 235731612161
BaseRepresentation
bin100010000110011…
…0011001111001000
32221202000200221101
41010030303033020
54320404100110
6305312151144
740232410240
oct10414631710
92852020841
101144206280
11537969128
1227b2384b4
1315308ac49
14abd68b20
156a6b913a
hex443333c8

1144206280 has 128 divisors (see below), whose sum is σ = 3088373760. Its totient is φ = 373248000.

The previous prime is 1144206253. The next prime is 1144206299. The reversal of 1144206280 is 826024411.

It is a super-2 number, since 2×11442062802 = 2618416022382876800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 528400 + ... + 530560.

It is an arithmetic number, because the mean of its divisors is an integer number (24127920).

Almost surely, 21144206280 is an apocalyptic number.

1144206280 is a gapful number since it is divisible by the number (10) 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 1144206280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544186880).

1144206280 is an abundant number, since it is smaller than the sum of its proper divisors (1944167480).

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

1144206280 is a wasteful number, since it uses less digits than its factorization.

1144206280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 1144206280 is about 33826.1183111512. The cubic root of 1144206280 is about 1045.9271641377.

The spelling of 1144206280 in words is "one billion, one hundred forty-four million, two hundred six thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 61 62 70 122 124 140 155 217 244 248 280 305 310 427 434 488 610 620 854 868 1085 1220 1240 1708 1736 1891 2135 2161 2170 2440 3416 3782 4270 4322 4340 7564 8540 8644 8680 9455 10805 13237 15127 15128 17080 17288 18910 21610 26474 30254 37820 43220 52948 60508 66185 66991 75635 75640 86440 105896 121016 131821 132370 133982 151270 263642 264740 267964 302540 334955 468937 527284 529480 535928 605080 659105 669910 922747 937874 1054568 1318210 1339820 1845494 1875748 2344685 2636420 2679640 3690988 3751496 4086451 4613735 4689370 5272840 7381976 8172902 9227470 9378740 16345804 18454940 18757480 20432255 28605157 32691608 36909880 40864510 57210314 81729020 114420628 143025785 163458040 228841256 286051570 572103140 1144206280