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141344000 = 28537631
BaseRepresentation
bin10000110110010…
…11110100000000
3100211222000111222
420123023310000
5242141002000
622005254212
73334255430
oct1033136400
9324860458
10141344000
117286a926
123b404368
132338b005
1414ab42c0
15c61ea85
hex86cbd00

141344000 has 144 divisors (see below), whose sum is σ = 403044096. Its totient is φ = 48384000.

The previous prime is 141343997. The next prime is 141344081. The reversal of 141344000 is 443141.

It is a self number, because there is not a number n which added to its sum of digits gives 141344000.

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, 223685 + ... + 224315.

Almost surely, 2141344000 is an apocalyptic number.

141344000 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 141344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201522048).

141344000 is an abundant number, since it is smaller than the sum of its proper divisors (261700096).

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

141344000 is an frugal number, since it uses more digits than its factorization.

141344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 141344000 is about 11888.8182760104. The cubic root of 141344000 is about 520.9057193615.

Adding to 141344000 its reverse (443141), we get a palindrome (141787141).

The spelling of 141344000 in words is "one hundred forty-one million, three hundred forty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 256 280 320 350 400 448 500 560 631 640 700 800 875 896 1000 1120 1262 1280 1400 1600 1750 1792 2000 2240 2524 2800 3155 3200 3500 4000 4417 4480 5048 5600 6310 6400 7000 8000 8834 8960 10096 11200 12620 14000 15775 16000 17668 20192 22085 22400 25240 28000 31550 32000 35336 40384 44170 44800 50480 56000 63100 70672 78875 80768 88340 100960 110425 112000 126200 141344 157750 161536 176680 201920 220850 224000 252400 282688 315500 353360 403840 441700 504800 552125 565376 631000 706720 807680 883400 1009600 1104250 1130752 1262000 1413440 1766800 2019200 2208500 2524000 2826880 3533600 4038400 4417000 5048000 5653760 7067200 8834000 10096000 14134400 17668000 20192000 28268800 35336000 70672000 141344000