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1143212240 = 245232772243
BaseRepresentation
bin100010000100100…
…0000100011010000
32221200011012101002
41010021000203100
54320130242430
6305235001132
740221100202
oct10411004320
92850135332
101143212240
1153734a305
1227aa391a8
13152b00661
14abb8a772
156a56e845
hex442408d0

1143212240 has 80 divisors (see below), whose sum is σ = 2784786048. Its totient is φ = 435629568.

The previous prime is 1143212237. The next prime is 1143212249. The reversal of 1143212240 is 422123411.

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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143212249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 508559 + ... + 510801.

Almost surely, 21143212240 is an apocalyptic number.

1143212240 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 1143212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392393024).

1143212240 is an abundant number, since it is smaller than the sum of its proper divisors (1641573808).

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

1143212240 is a wasteful number, since it uses less digits than its factorization.

1143212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1143212240 is about 33811.4217388148. The cubic root of 1143212240 is about 1045.6241900199.

Adding to 1143212240 its reverse (422123411), we get a palindrome (1565335651).

The spelling of 1143212240 in words is "one billion, one hundred forty-three million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 277 368 460 554 920 1108 1385 1840 2216 2243 2770 4432 4486 5540 6371 8972 11080 11215 12742 17944 22160 22430 25484 31855 35888 44860 50968 51589 63710 89720 101936 103178 127420 179440 206356 254840 257945 412712 509680 515890 621311 825424 1031780 1242622 2063560 2485244 3106555 4127120 4970488 6213110 9940976 12426220 14290153 24852440 28580306 49704880 57160612 71450765 114321224 142901530 228642448 285803060 571606120 1143212240