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1430144587144 = 2371315712512639
BaseRepresentation
bin10100110011111011010…
…000101001010110001000
312001201110020100111010101
4110303323100221112020
5141412414003242034
63012555505455144
7205216213262530
oct24637320512610
95051406314111
101430144587144
11501580376829
121b12086414b4
13a4b28c241a0
144d30dd304c0
15273047e9514
hex14cfb429588

1430144587144 has 64 divisors (see below), whose sum is σ = 3321355161600. Its totient is φ = 562167800064.

The previous prime is 1430144587121. The next prime is 1430144587159. The reversal of 1430144587144 is 4417854410341.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1430144587094 and 1430144587103.

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 15 ways as a sum of consecutive naturals, for example, 6142024 + ... + 6370615.

It is an arithmetic number, because the mean of its divisors is an integer number (51896174400).

Almost surely, 21430144587144 is an apocalyptic number.

1430144587144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1430144587144 is an abundant number, since it is smaller than the sum of its proper divisors (1891210574456).

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

1430144587144 is a wasteful number, since it uses less digits than its factorization.

1430144587144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12512822 (or 12512818 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 46.

Adding to 1430144587144 its reverse (4417854410341), we get a palindrome (5847998997485).

The spelling of 1430144587144 in words is "one trillion, four hundred thirty billion, one hundred forty-four million, five hundred eighty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 157 182 314 364 628 728 1099 1256 2041 2198 4082 4396 8164 8792 14287 16328 28574 57148 114296 12512639 25025278 50050556 87588473 100101112 162664307 175176946 325328614 350353892 650657228 700707784 1138650149 1301314456 1964484323 2277300298 3928968646 4554600596 7857937292 9109201192 13751390261 15715874584 25538296199 27502780522 51076592398 55005561044 102153184796 110011122088 178768073393 204306369592 357536146786 715072293572 1430144587144