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1353414334122 = 232101744452329
BaseRepresentation
bin10011101100011101110…
…001111101011010101010
311210101101202211202202100
4103230131301331122222
5134133243032142442
62513425554114230
7166531604012124
oct23543561753252
94711352752670
101353414334122
11481a86120a84
1219a37387b976
139a81b33b4c6
1449711538214
152531340484c
hex13b1dc7d6aa

1353414334122 has 24 divisors (see below), whose sum is σ = 2961431368740. Its totient is φ = 446671396800.

The previous prime is 1353414334081. The next prime is 1353414334127. The reversal of 1353414334122 is 2214334143531.

1353414334122 is a `hidden beast` number, since 13 + 53 + 41 + 433 + 4 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1353408816321 + 5517801 = 1163361^2 + 2349^2 .

It is a super-4 number, since 4×13534143341224 (a number of 50 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (1353414334127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 372224347 + ... + 372227982.

Almost surely, 21353414334122 is an apocalyptic number.

1353414334122 is an abundant number, since it is smaller than the sum of its proper divisors (1608017034618).

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

1353414334122 is a wasteful number, since it uses less digits than its factorization.

1353414334122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744452438 (or 744452435 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

Adding to 1353414334122 its reverse (2214334143531), we get a palindrome (3567748477653).

The spelling of 1353414334122 in words is "one trillion, three hundred fifty-three billion, four hundred fourteen million, three hundred thirty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1818 744452329 1488904658 2233356987 4466713974 6700070961 13400141922 75189685229 150379370458 225569055687 451138111374 676707167061 1353414334122