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144044224000 = 29539723203
BaseRepresentation
bin1000011000100110110…
…1000110111000000000
3111202210200121202010021
42012021231012320000
54330000310132000
6150101211343224
713256356462555
oct2061155067000
9452720552107
10144044224000
11560a8233526
1223b00151b14
13107776c8a51
146d867b4a2c
153b30cd011a
hex2189b46e00

144044224000 has 160 divisors (see below), whose sum is σ = 362901835296. Its totient is φ = 57021235200.

The previous prime is 144044223989. The next prime is 144044224019. The reversal of 144044224000 is 422440441.

144044224000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6196399 + ... + 6219601.

Almost surely, 2144044224000 is an apocalyptic number.

144044224000 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 144044224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181450917648).

144044224000 is an abundant number, since it is smaller than the sum of its proper divisors (218857611296).

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

144044224000 is an frugal number, since it uses more digits than its factorization.

144044224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23333 (or 23307 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 144044224000 its reverse (422440441), we get a palindrome (144466664441).

The spelling of 144044224000 in words is "one hundred forty-four billion, forty-four million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 97 100 125 128 160 194 200 250 256 320 388 400 485 500 512 640 776 800 970 1000 1280 1552 1600 1940 2000 2425 2560 3104 3200 3880 4000 4850 6208 6400 7760 8000 9700 12125 12416 12800 15520 16000 19400 23203 24250 24832 31040 32000 38800 46406 48500 49664 62080 64000 77600 92812 97000 116015 124160 155200 185624 194000 232030 248320 310400 371248 388000 464060 580075 620800 742496 776000 928120 1160150 1241600 1484992 1552000 1856240 2250691 2320300 2900375 2969984 3104000 3712480 4501382 4640600 5800750 5939968 6208000 7424960 9002764 9281200 11253455 11601500 11879936 14849920 18005528 18562400 22506910 23203000 29699840 36011056 37124800 45013820 46406000 56267275 59399680 72022112 74249600 90027640 92812000 112534550 144044224 148499200 180055280 185624000 225069100 281336375 288088448 296998400 360110560 371248000 450138200 562672750 576176896 720221120 742496000 900276400 1125345500 1152353792 1440442240 1484992000 1800552800 2250691000 2880884480 3601105600 4501382000 5761768960 7202211200 9002764000 14404422400 18005528000 28808844800 36011056000 72022112000 144044224000