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1141034240 = 2854320731
BaseRepresentation
bin100010000000010…
…1100110100000000
32221112001112201102
41010000230310000
54314101043430
6305120153532
740163426303
oct10400546400
92845045642
101141034240
115360a1a05
1227a1688a8
1315251a1b8
14ab780b3a
156a28e345
hex4402cd00

1141034240 has 72 divisors (see below), whose sum is σ = 2796829728. Its totient is φ = 445777920.

The previous prime is 1141034207. The next prime is 1141034249. The reversal of 1141034240 is 424301411.

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 (1141034249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44675 + ... + 65405.

Almost surely, 21141034240 is an apocalyptic number.

1141034240 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 1141034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398414864).

1141034240 is an abundant number, since it is smaller than the sum of its proper divisors (1655795488).

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

1141034240 is an equidigital number, since it uses as much as digits as its factorization.

1141034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20795 (or 20781 counting only the distinct ones).

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

The square root of 1141034240 is about 33779.1983327017. The cubic root of 1141034240 is about 1044.9597414342.

Adding to 1141034240 its reverse (424301411), we get a palindrome (1565335651).

The spelling of 1141034240 in words is "one billion, one hundred forty-one million, thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 256 320 344 430 640 688 860 1280 1376 1720 2752 3440 5504 6880 11008 13760 20731 27520 41462 55040 82924 103655 165848 207310 331696 414620 663392 829240 891433 1326784 1658480 1782866 2653568 3316960 3565732 4457165 5307136 6633920 7131464 8914330 13267840 14262928 17828660 26535680 28525856 35657320 57051712 71314640 114103424 142629280 228206848 285258560 570517120 1141034240