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1314446144550 = 2352711227501343
BaseRepresentation
bin10011001000001011000…
…110000111010000100110
311122122211000022122001220
4103020023012013100212
5133013441203111200
62443503114401210
7163652125611030
oct23101306072046
94578730278056
101314446144550
114674a9643430
121928b9430206
1396c4ac83176
1447895dd8c50
15242d22d44a0
hex1320b187426

1314446144550 has 192 divisors, whose sum is σ = 4082111299584. Its totient is φ = 271927900800.

The previous prime is 1314446144521. The next prime is 1314446144573. The reversal of 1314446144550 is 554416444131.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2371179 + ... + 2872521.

It is an arithmetic number, because the mean of its divisors is an integer number (21260996352).

Almost surely, 21314446144550 is an apocalyptic number.

1314446144550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314446144550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041055649792).

1314446144550 is an abundant number, since it is smaller than the sum of its proper divisors (2767665155034).

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

1314446144550 is a wasteful number, since it uses less digits than its factorization.

1314446144550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501603 (or 501598 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 1314446144550 in words is "one trillion, three hundred fourteen billion, four hundred forty-six million, one hundred forty-four thousand, five hundred fifty".