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1141002440 = 235198291811
BaseRepresentation
bin100010000000010…
…0101000011001000
32221111222221002122
41010000211003020
54314044034230
6305115350412
740163234504
oct10400450310
92844887078
101141002440
11536080026
1227a152408
13152508896
14ab773304
156a284be5
hex440250c8

1141002440 has 64 divisors (see below), whose sum is σ = 2707128000. Its totient is φ = 431619840.

The previous prime is 1141002397. The next prime is 1141002529. The reversal of 1141002440 is 442001411.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629135 + ... + 630945.

It is an arithmetic number, because the mean of its divisors is an integer number (42298875).

Almost surely, 21141002440 is an apocalyptic number.

1141002440 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 1141002440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353564000).

1141002440 is an abundant number, since it is smaller than the sum of its proper divisors (1566125560).

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

1141002440 is a wasteful number, since it uses less digits than its factorization.

1141002440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1141002440 is about 33778.7276255338. The cubic root of 1141002440 is about 1044.9500338586.

Adding to 1141002440 its reverse (442001411), we get a palindrome (1583003851).

The spelling of 1141002440 in words is "one billion, one hundred forty-one million, two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 829 1658 1811 3316 3622 4145 6632 7244 8290 9055 14488 15751 16580 18110 31502 33160 34409 36220 63004 68818 72440 78755 126008 137636 157510 172045 275272 315020 344090 630040 688180 1376360 1501319 3002638 6005276 7506595 12010552 15013190 28525061 30026380 57050122 60052760 114100244 142625305 228200488 285250610 570501220 1141002440