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1353414334376 = 231331214169689
BaseRepresentation
bin10011101100011101110…
…001111101011110101000
311210101101202211210002202
4103230131301331132220
5134133243032200001
62513425554115332
7166531604012636
oct23543561753650
94711352753082
101353414334376
11481a86121195
1219a37387bb48
139a81b33b660
1449711538356
152531340496b
hex13b1dc7d7a8

1353414334376 has 32 divisors (see below), whose sum is σ = 2733732157800. Its totient is φ = 624452474880.

The previous prime is 1353414334313. The next prime is 1353414334411. The reversal of 1353414334376 is 6734334143531.

It can be written as a sum of positive squares in 4 ways, for example, as 243615293476 + 1109799040900 = 493574^2 + 1053470^2 .

It is a super-2 number, since 2×13534143343762 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1353414334376.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1760261 + ... + 2409428.

Almost surely, 21353414334376 is an apocalyptic number.

It is an amenable number.

1353414334376 is an abundant number, since it is smaller than the sum of its proper divisors (1380317823424).

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

1353414334376 is a wasteful number, since it uses less digits than its factorization.

1353414334376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4172829 (or 4172825 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 47.

The spelling of 1353414334376 in words is "one trillion, three hundred fifty-three billion, four hundred fourteen million, three hundred thirty-four thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 26 52 104 3121 6242 12484 24968 40573 81146 162292 324584 4169689 8339378 16678756 33357512 54205957 108411914 216823828 433647656 13013599369 26027198738 52054397476 104108794952 169176791797 338353583594 676707167188 1353414334376