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2041431440 = 245191343047
BaseRepresentation
bin111100110101101…
…1100010110010000
312021021022110110212
41321223130112100
513140101301230
6534322543252
7101405611106
oct17153342620
95237273425
102041431440
11958375724
1248b807b28
13266c225c9
141551a1c76
15be348895
hex79adc590

2041431440 has 40 divisors (see below), whose sum is σ = 4996138560. Its totient is φ = 773594496.

The previous prime is 2041431433. The next prime is 2041431463. The reversal of 2041431440 is 441341402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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, 670004 + ... + 673043.

It is an arithmetic number, because the mean of its divisors is an integer number (124903464).

Almost surely, 22041431440 is an apocalyptic number.

2041431440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2041431440 is an abundant number, since it is smaller than the sum of its proper divisors (2954707120).

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

2041431440 is a wasteful number, since it uses less digits than its factorization.

2041431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343079 (or 1343073 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2041431440 is about 45182.2026908826. The cubic root of 2041431440 is about 1268.5617131349.

Adding to 2041431440 its reverse (441341402), we get a palindrome (2482772842).

The spelling of 2041431440 in words is "two billion, forty-one million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 1343047 2686094 5372188 6715235 10744376 13430470 21488752 25517893 26860940 51035786 53721880 102071572 107443760 127589465 204143144 255178930 408286288 510357860 1020715720 2041431440