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1144412240 = 245731271543
BaseRepresentation
bin100010000110110…
…0101100001010000
32221202102011110112
41010031211201100
54320432142430
6305320420452
740234225556
oct10415454120
92852364415
101144412240
11537a99944
1227b317728
1315313090a
14abdbdbd6
156a70a195
hex44365850

1144412240 has 80 divisors (see below), whose sum is σ = 2720206848. Its totient is φ = 447648768.

The previous prime is 1144412177. The next prime is 1144412251. The reversal of 1144412240 is 422144411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 740909 + ... + 742451.

Almost surely, 21144412240 is an apocalyptic number.

1144412240 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 1144412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360103424).

1144412240 is an abundant number, since it is smaller than the sum of its proper divisors (1575794608).

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

1144412240 is a wasteful number, since it uses less digits than its factorization.

1144412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 1144412240 is about 33829.1625672289. The cubic root of 1144412240 is about 1045.9899168769.

Adding to 1144412240 its reverse (422144411), we get a palindrome (1566556651).

The spelling of 1144412240 in words is "one billion, one hundred forty-four million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 127 146 254 292 365 508 584 635 730 1016 1168 1270 1460 1543 2032 2540 2920 3086 5080 5840 6172 7715 9271 10160 12344 15430 18542 24688 30860 37084 46355 61720 74168 92710 112639 123440 148336 185420 195961 225278 370840 391922 450556 563195 741680 783844 901112 979805 1126390 1567688 1802224 1959610 2252780 3135376 3919220 4505560 7838440 9011120 14305153 15676880 28610306 57220612 71525765 114441224 143051530 228882448 286103060 572206120 1144412240