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11444442000 = 243539412027
BaseRepresentation
bin10101010100010010…
…00101001110010000
31002112120201220001020
422222021011032100
5141414234121000
65131342035440
7553414103055
oct125211051620
932476656036
1011444442000
1149430a8732
122274878b80
131105029594
147a7d2302c
1546ead0ba0
hex2aa245390

11444442000 has 160 divisors (see below), whose sum is σ = 36954313344. Its totient is φ = 3047104000.

The previous prime is 11444441963. The next prime is 11444442013. The reversal of 11444442000 is 24444411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5644987 + ... + 5647013.

Almost surely, 211444442000 is an apocalyptic number.

11444442000 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 11444442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18477156672).

11444442000 is an abundant number, since it is smaller than the sum of its proper divisors (25509871344).

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

11444442000 is a wasteful number, since it uses less digits than its factorization.

11444442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 11444442000 its reverse (24444411), we get a palindrome (11468886411).

The spelling of 11444442000 in words is "eleven billion, four hundred forty-four million, four hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 941 1000 1200 1500 1882 2000 2027 2823 3000 3764 4054 4705 5646 6000 6081 7528 8108 9410 10135 11292 12162 14115 15056 16216 18820 20270 22584 23525 24324 28230 30405 32432 37640 40540 45168 47050 48648 50675 56460 60810 70575 75280 81080 94100 97296 101350 112920 117625 121620 141150 152025 162160 188200 202700 225840 235250 243240 253375 282300 304050 352875 376400 405400 470500 486480 506750 564600 608100 705750 760125 810800 941000 1013500 1129200 1216200 1411500 1520250 1882000 1907407 2027000 2432400 2823000 3040500 3814814 4054000 5646000 5722221 6081000 7629628 9537035 11444442 12162000 15259256 19074070 22888884 28611105 30518512 38148140 45777768 47685175 57222210 76296280 91555536 95370350 114444420 143055525 152592560 190740700 228888840 238425875 286111050 381481400 457777680 476851750 572222100 715277625 762962800 953703500 1144444200 1430555250 1907407000 2288888400 2861110500 3814814000 5722221000 11444442000