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1314421234416 = 243234843261973
BaseRepresentation
bin10011001000001001100…
…111000101101011110000
311122122202021110001210100
4103020021213011223300
5133013413314000131
62443500424432400
7163651404101523
oct23101147055360
94578667401710
101314421234416
1146749657a044
121928b1018700
1396c45a70b44
1447892992bba
15242d00137e6
hex132099c5af0

1314421234416 has 60 divisors (see below), whose sum is σ = 3678673488568. Its totient is φ = 438126164352.

The previous prime is 1314421234409. The next prime is 1314421234433. The reversal of 1314421234416 is 6144321244131.

It is a happy number.

1314421234416 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 4 + 2 + 1 + 234 + 416 = 666.

It is a super-2 number, since 2×13144212344162 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4886406 + ... + 5148378.

Almost surely, 21314421234416 is an apocalyptic number.

1314421234416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1314421234416 is an abundant number, since it is smaller than the sum of its proper divisors (2364252254152).

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

1314421234416 is a wasteful number, since it uses less digits than its factorization.

1314421234416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296830 (or 296821 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 1314421234416 its reverse (6144321244131), we get a palindrome (7458742478547).

The spelling of 1314421234416 in words is "one trillion, three hundred fourteen billion, four hundred twenty-one million, two hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 34843 69686 104529 139372 209058 261973 278744 313587 418116 523946 557488 627174 785919 836232 1047892 1254348 1571838 1672464 2095784 2357757 2508696 3143676 4191568 4715514 5017392 6287352 9431028 12574704 18862056 37724112 9127925239 18255850478 27383775717 36511700956 54767551434 73023401912 82151327151 109535102868 146046803824 164302654302 219070205736 328605308604 438140411472 657210617208 1314421234416