Search a number
-
+
144240154120000 = 26547514801603
BaseRepresentation
bin100000110010111110000111…
…001001100000111101000000
3200220201020001100021120102101
4200302332013021200331000
5122401212313423320000
61230435002333200144
742245002324446361
oct4062760711407500
9626636040246371
10144240154120000
1141a609a6738754
121421685b930054
136263a327bcb03
142789391557b68
1511a203dbe7e6a
hex832f87260f40

144240154120000 has 140 divisors (see below), whose sum is σ = 358145035352896. Its totient is φ = 57619224000000.

The previous prime is 144240154119983. The next prime is 144240154120003. The reversal of 144240154120000 is 21451042441.

It is a happy number.

It is a super-2 number, since 2×1442401541200002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144240154120003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27639199 + ... + 32440801.

Almost surely, 2144240154120000 is an apocalyptic number.

144240154120000 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 144240154120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179072517676448).

144240154120000 is an abundant number, since it is smaller than the sum of its proper divisors (213904881232896).

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

144240154120000 is an frugal number, since it uses more digits than its factorization.

144240154120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4802386 (or 4802361 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The spelling of 144240154120000 in words is "one hundred forty-four trillion, two hundred forty billion, one hundred fifty-four million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 751 800 1000 1250 1502 1600 2000 2500 3004 3755 4000 5000 6008 7510 8000 10000 12016 15020 18775 20000 24032 30040 37550 40000 48064 60080 75100 93875 120160 150200 187750 240320 300400 375500 469375 600800 751000 938750 1201600 1502000 1877500 3004000 3755000 4801603 6008000 7510000 9603206 15020000 19206412 24008015 30040000 38412824 48016030 76825648 96032060 120040075 153651296 192064120 240080150 307302592 384128240 480160300 600200375 768256480 960320600 1200400750 1536512960 1920641200 2400801500 3001001875 3606003853 3841282400 4801603000 6002003750 7212007706 7682564800 9603206000 12004007500 14424015412 18030019265 19206412000 24008015000 28848030824 36060038530 38412824000 48016030000 57696061648 72120077060 90150096325 96032060000 115392123296 144240154120 180300192650 192064120000 230784246592 288480308240 360600385300 450750481625 576960616480 721200770600 901500963250 1153921232960 1442401541200 1803001926500 2253752408125 2884803082400 3606003853000 4507504816250 5769606164800 7212007706000 9015009632500 14424015412000 18030019265000 28848030824000 36060038530000 72120077060000 144240154120000