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1434314101416 = 233719239116047
BaseRepresentation
bin10100110111110011110…
…010000101001010101000
312002010012211000202102220
4110313303302011022220
5141444433402221131
63014525332554040
7205424432463030
oct24676362051250
95063184022386
101434314101416
1150331aa10599
121b1b90a82920
13a53419b7ab1
144d5c79ac8c0
152749a8a5e96
hex14df3c852a8

1434314101416 has 192 divisors, whose sum is σ = 4326899834880. Its totient is φ = 388071941760.

The previous prime is 1434314101373. The next prime is 1434314101459. The reversal of 1434314101416 is 6141014134341.

It is an interprime number because it is at equal distance from previous prime (1434314101373) and next prime (1434314101459).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237191305 + ... + 237197351.

It is an arithmetic number, because the mean of its divisors is an integer number (22535936640).

Almost surely, 21434314101416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434314101416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163449917440).

1434314101416 is an abundant number, since it is smaller than the sum of its proper divisors (2892585733464).

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

1434314101416 is a wasteful number, since it uses less digits than its factorization.

1434314101416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10012 (or 9989 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 1434314101416 its reverse (6141014134341), we get a palindrome (7575328235757).

The spelling of 1434314101416 in words is "one trillion, four hundred thirty-four billion, three hundred fourteen million, one hundred one thousand, four hundred sixteen".