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1141240000 = 2654103277
BaseRepresentation
bin100010000000101…
…1111000011000000
32221112102222222011
41010001133003000
54314124140000
6305124422304
740165244215
oct10401370300
92845388864
101141240000
1153622255a
1227a247994
1315258ca54
14ab7d5b0c
156a2d02ba
hex4405f0c0

1141240000 has 140 divisors (see below), whose sum is σ = 2867694544. Its totient is φ = 450432000.

The previous prime is 1141239991. The next prime is 1141240129. The reversal of 1141240000 is 421411.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4119862 + ... + 4120138.

Almost surely, 21141240000 is an apocalyptic number.

1141240000 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 1141240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433847272).

1141240000 is an abundant number, since it is smaller than the sum of its proper divisors (1726454544).

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

1141240000 is an equidigital number, since it uses as much as digits as its factorization.

1141240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1141240000 is about 33782.2438567955. The cubic root of 1141240000 is about 1045.0225493635.

Adding to 1141240000 its reverse (421411), we get a palindrome (1141661411).

The spelling of 1141240000 in words is "one billion, one hundred forty-one million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 103 125 160 200 206 250 277 320 400 412 500 515 554 625 800 824 1000 1030 1108 1250 1385 1600 1648 2000 2060 2216 2500 2575 2770 3296 4000 4120 4432 5000 5150 5540 6592 6925 8000 8240 8864 10000 10300 11080 12875 13850 16480 17728 20000 20600 22160 25750 27700 28531 32960 34625 40000 41200 44320 51500 55400 57062 64375 69250 82400 88640 103000 110800 114124 128750 138500 142655 164800 173125 206000 221600 228248 257500 277000 285310 346250 412000 443200 456496 515000 554000 570620 692500 713275 824000 912992 1030000 1108000 1141240 1385000 1426550 1825984 2060000 2216000 2282480 2770000 2853100 3566375 4120000 4564960 5540000 5706200 7132750 9129920 11080000 11412400 14265500 17831875 22824800 28531000 35663750 45649600 57062000 71327500 114124000 142655000 228248000 285310000 570620000 1141240000