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1414031434240 = 295552356029
BaseRepresentation
bin10100100100111010110…
…101110110001000000000
312000011212021121111201111
4110210322311312020000
5141131414021343430
63001332545013104
7204106005606415
oct24447265661000
95004767544644
101414031434240
114a5761976537
121aa070324194
13a345b8a0799
144c621d4610c
1526baee01c2a
hex1493ad76200

1414031434240 has 40 divisors (see below), whose sum is σ = 3390361312140. Its totient is φ = 565612572672.

The previous prime is 1414031434141. The next prime is 1414031434279. The reversal of 1414031434240 is 424341304141.

It can be written as a sum of positive squares in 2 ways, for example, as 1378125732096 + 35905702144 = 1173936^2 + 189488^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 276175455 + ... + 276180574.

Almost surely, 21414031434240 is an apocalyptic number.

1414031434240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1414031434240 is an abundant number, since it is smaller than the sum of its proper divisors (1976329877900).

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

1414031434240 is an frugal number, since it uses more digits than its factorization.

1414031434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552356052 (or 552356036 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 1414031434240 its reverse (424341304141), we get a palindrome (1838372738381).

The spelling of 1414031434240 in words is "one trillion, four hundred fourteen billion, thirty-one million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 552356029 1104712058 2209424116 2761780145 4418848232 5523560290 8837696464 11047120580 17675392928 22094241160 35350785856 44188482320 70701571712 88376964640 141403143424 176753929280 282806286848 353507858560 707015717120 1414031434240