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141403552000 = 285317259933
BaseRepresentation
bin1000001110110001001…
…1101111100100000000
3111111222122201201010121
42003230103233210000
54304043302131000
6144543200510024
713134053234434
oct2035423574400
9444878651117
10141403552000
1154a72689577
12234a391b314
13104465b5439
146bb5bc69c4
153a29068b1a
hex20ec4ef900

141403552000 has 144 divisors (see below), whose sum is σ = 372976177392. Its totient is φ = 53234073600.

The previous prime is 141403551953. The next prime is 141403552013. The reversal of 141403552000 is 255304141.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 78911551744 + 62492000256 = 280912^2 + 249984^2 .

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

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, 414034 + ... + 673966.

It is an arithmetic number, because the mean of its divisors is an integer number (2590112343).

Almost surely, 2141403552000 is an apocalyptic number.

141403552000 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 141403552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186488088696).

141403552000 is an abundant number, since it is smaller than the sum of its proper divisors (231572625392).

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

141403552000 is an equidigital number, since it uses as much as digits as its factorization.

141403552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259981 (or 259957 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 141403552000 its reverse (255304141), we get a palindrome (141658856141).

The spelling of 141403552000 in words is "one hundred forty-one billion, four hundred three million, five hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 128 136 160 170 200 250 256 272 320 340 400 425 500 544 640 680 800 850 1000 1088 1280 1360 1600 1700 2000 2125 2176 2720 3200 3400 4000 4250 4352 5440 6400 6800 8000 8500 10880 13600 16000 17000 21760 27200 32000 34000 54400 68000 108800 136000 259933 272000 519866 544000 1039732 1299665 2079464 2599330 4158928 4418861 5198660 6498325 8317856 8837722 10397320 12996650 16635712 17675444 20794640 22094305 25993300 32491625 33271424 35350888 41589280 44188610 51986600 64983250 66542848 70701776 83178560 88377220 103973200 110471525 129966500 141403552 166357120 176754440 207946400 220943050 259933000 282807104 332714240 353508880 415892800 441886100 519866000 552357625 565614208 707017760 831785600 883772200 1039732000 1104715250 1131228416 1414035520 1663571200 1767544400 2079464000 2209430500 2828071040 3535088800 4158928000 4418861000 5656142080 7070177600 8317856000 8837722000 14140355200 17675444000 28280710400 35350888000 70701776000 141403552000