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1441162440 = 2332513130559
BaseRepresentation
bin101010111100110…
…0110010011001000
310201102210122012200
41111321212103020
510422414144230
6355001040200
750466451524
oct12571462310
93642718180
101441162440
1167a553743
12342786060
1319c761453
14d9588d84
15867c6160
hex55e664c8

1441162440 has 96 divisors (see below), whose sum is σ = 4719686400. Its totient is φ = 381363840.

The previous prime is 1441162439. The next prime is 1441162447. The reversal of 1441162440 is 442611441.

1441162440 is a `hidden beast` number, since 1 + 4 + 411 + 6 + 244 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (1441162447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31881 + ... + 62439.

It is an arithmetic number, because the mean of its divisors is an integer number (49163400).

Almost surely, 21441162440 is an apocalyptic number.

1441162440 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 1441162440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359843200).

1441162440 is an abundant number, since it is smaller than the sum of its proper divisors (3278523960).

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

1441162440 is a wasteful number, since it uses less digits than its factorization.

1441162440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30707 (or 30700 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1441162440 is about 37962.6453240551. The cubic root of 1441162440 is about 1129.5470134638.

Adding to 1441162440 its reverse (442611441), we get a palindrome (1883773881).

The spelling of 1441162440 in words is "one billion, four hundred forty-one million, one hundred sixty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 131 180 262 360 393 524 655 786 1048 1179 1310 1572 1965 2358 2620 3144 3930 4716 5240 5895 7860 9432 11790 15720 23580 30559 47160 61118 91677 122236 152795 183354 244472 275031 305590 366708 458385 550062 611180 733416 916770 1100124 1222360 1375155 1833540 2200248 2750310 3667080 4003229 5500620 8006458 11001240 12009687 16012916 20016145 24019374 32025832 36029061 40032290 48038748 60048435 72058122 80064580 96077496 120096870 144116244 160129160 180145305 240193740 288232488 360290610 480387480 720581220 1441162440