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1141425440 = 25534920441
BaseRepresentation
bin100010000001000…
…1100010100100000
32221112210102100022
41010002030110200
54314201103230
6305132413012
740166645651
oct10402142440
92845712308
101141425440
11536339911
1227a317168
1315262628c
14ab843528
156a31a1e5
hex4408c520

1141425440 has 48 divisors (see below), whose sum is σ = 2704476600. Its totient is φ = 455239680.

The previous prime is 1141425433. The next prime is 1141425457. The reversal of 1141425440 is 445241411.

It can be written as a sum of positive squares in 4 ways, for example, as 1114758544 + 26666896 = 33388^2 + 5164^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45620 + ... + 66060.

Almost surely, 21141425440 is an apocalyptic number.

1141425440 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 1141425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352238300).

1141425440 is an abundant number, since it is smaller than the sum of its proper divisors (1563051160).

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

1141425440 is a wasteful number, since it uses less digits than its factorization.

1141425440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20805 (or 20797 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 1141425440 is about 33784.9883824162. The cubic root of 1141425440 is about 1045.0791481759.

Adding to 1141425440 its reverse (445241411), we get a palindrome (1586666851).

The spelling of 1141425440 in words is "one billion, one hundred forty-one million, four hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 349 698 1396 1745 2792 3490 5584 6980 11168 13960 20441 27920 40882 55840 81764 102205 163528 204410 327056 408820 654112 817640 1635280 3270560 7133909 14267818 28535636 35669545 57071272 71339090 114142544 142678180 228285088 285356360 570712720 1141425440