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1414023234432 = 27312728994899
BaseRepresentation
bin10100100100111010010…
…110100100001110000000
312000011211201011220200220
4110210322112210032000
5141131404422000212
63001332053143040
7204105546115314
oct24447226441600
95004751156626
101414023234432
114a5758285936
121aa06962aa80
13a3459c8c423
144c620c0db44
1526bae33238c
hex1493a5a4380

1414023234432 has 64 divisors (see below), whose sum is σ = 3785574144000. Its totient is φ = 467629714944.

The previous prime is 1414023234427. The next prime is 1414023234439. The reversal of 1414023234432 is 2344323204141.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1414023234393 and 1414023234402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414023234439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14448682 + ... + 14546217.

It is an arithmetic number, because the mean of its divisors is an integer number (59149596000).

Almost surely, 21414023234432 is an apocalyptic number.

1414023234432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1414023234432 is an abundant number, since it is smaller than the sum of its proper divisors (2371550909568).

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

1414023234432 is a wasteful number, since it uses less digits than its factorization.

1414023234432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28995043 (or 28995031 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 1414023234432 its reverse (2344323204141), we get a palindrome (3758346438573).

The spelling of 1414023234432 in words is "one trillion, four hundred fourteen billion, twenty-three million, two hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 381 384 508 762 1016 1524 2032 3048 4064 6096 8128 12192 16256 24384 48768 28994899 57989798 86984697 115979596 173969394 231959192 347938788 463918384 695877576 927836768 1391755152 1855673536 2783510304 3682352173 3711347072 5567020608 7364704346 11047056519 11134041216 14729408692 22094113038 29458817384 44188226076 58917634768 88376452152 117835269536 176752904304 235670539072 353505808608 471341078144 707011617216 1414023234432