Search a number
-
+
1444211315130 = 235236134312457
BaseRepresentation
bin10101000001000001101…
…100111101000110111010
312010001202120101022021210
4111001001230331012322
5142130221044041010
63023243404343550
7206224621426353
oct25010154750672
95101676338253
101444211315130
11507539700761
121b3a93544bb6
13a625b2c747c
144dc86216d2a
152787970db20
hex15041b3d1ba

1444211315130 has 64 divisors (see below), whose sum is σ = 3676099500288. Its totient is φ = 362339535360.

The previous prime is 1444211315123. The next prime is 1444211315161. The reversal of 1444211315130 is 315131124441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17114139 + ... + 17198318.

It is an arithmetic number, because the mean of its divisors is an integer number (57439054692).

Almost surely, 21444211315130 is an apocalyptic number.

1444211315130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1444211315130 is an abundant number, since it is smaller than the sum of its proper divisors (2231888185158).

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

1444211315130 is a wasteful number, since it uses less digits than its factorization.

1444211315130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34312551.

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 1444211315130 its reverse (315131124441), we get a palindrome (1759342439571).

The spelling of 1444211315130 in words is "one trillion, four hundred forty-four billion, two hundred eleven million, three hundred fifteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 61 69 115 122 138 183 230 305 345 366 610 690 915 1403 1830 2806 4209 7015 8418 14030 21045 42090 34312457 68624914 102937371 171562285 205874742 343124570 514686855 789186511 1029373710 1578373022 2093059877 2367559533 3945932555 4186119754 4735119066 6279179631 7891865110 10465299385 11837797665 12558359262 20930598770 23675595330 31395898155 48140377171 62791796310 96280754342 144421131513 240701885855 288842263026 481403771710 722105657565 1444211315130