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1141344240 = 243547101183
BaseRepresentation
bin100010000000111…
…1000011111110000
32221112122021221220
41010001320133300
54314141003430
6305130545040
740166160141
oct10401703760
92845567856
101141344240
11536293903
1227a298180
131525c832a
14ab821ac8
156a301110
hex440787f0

1141344240 has 80 divisors (see below), whose sum is σ = 3613483008. Its totient is φ = 297879808.

The previous prime is 1141344233. The next prime is 1141344251. The reversal of 1141344240 is 424431411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1141344240.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 39312 + ... + 61871.

Almost surely, 21141344240 is an apocalyptic number.

1141344240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141344240 is an abundant number, since it is smaller than the sum of its proper divisors (2472138768).

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

1141344240 is a wasteful number, since it uses less digits than its factorization.

1141344240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101246 (or 101240 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1141344240 is about 33783.7866438918. The cubic root of 1141344240 is about 1045.0543655850.

Adding to 1141344240 its reverse (424431411), we get a palindrome (1565775651).

The spelling of 1141344240 in words is "one billion, one hundred forty-one million, three hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2820 3760 5640 11280 101183 202366 303549 404732 505915 607098 809464 1011830 1214196 1517745 1618928 2023660 2428392 3035490 4047320 4755601 4856784 6070980 8094640 9511202 12141960 14266803 19022404 23778005 24283920 28533606 38044808 47556010 57067212 71334015 76089616 95112020 114134424 142668030 190224040 228268848 285336060 380448080 570672120 1141344240