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1214001405144 = 233211326947093
BaseRepresentation
bin10001101010101000000…
…111110101110011011000
311022001112211211012001100
4101222220013311303120
5124342233324431034
62325412103151400
7153465041453133
oct21525007656330
94261484735040
101214001405144
11428945165000
12177346745560
138a631299318
1442a87c8921a
15218a3eea099
hex11aa81f5cd8

1214001405144 has 192 divisors, whose sum is σ = 3629986682400. Its totient is φ = 366503850240.

The previous prime is 1214001405079. The next prime is 1214001405161. The reversal of 1214001405144 is 4415041004121.

It is a happy number.

1214001405144 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 0 + 0 + 140 + 514 + 4 = 666.

It is a congruent number.

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, 25755262 + ... + 25802354.

Almost surely, 21214001405144 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 1214001405144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814993341200).

1214001405144 is an abundant number, since it is smaller than the sum of its proper divisors (2415985277256).

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

1214001405144 is a wasteful number, since it uses less digits than its factorization.

1214001405144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47407 (or 47378 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 1214001405144 its reverse (4415041004121), we get a palindrome (5629042409265).

The spelling of 1214001405144 in words is "one trillion, two hundred fourteen billion, one million, four hundred five thousand, one hundred forty-four".