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1480229009280 = 273357313747227
BaseRepresentation
bin10101100010100100100…
…001100011011110000000
312020111201201000202011000
4111202210201203132000
5143223002111244110
63052001404452000
7211641311660130
oct25424441433600
95214651022130
101480229009280
1152084176043a
121baa6584a000
13a977b312028
1451901958ac0
15287867b81c0
hex158a4863780

1480229009280 has 2048 divisors, whose sum is σ = 6515549798400. Its totient is φ = 310422896640.

The previous prime is 1480229009251. The next prime is 1480229009309. The reversal of 1480229009280 is 829009220841.

It is a happy number.

1480229009280 is a `hidden beast` number, since 1 + 4 + 80 + 2 + 290 + 0 + 9 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (1480229009251) and next prime (1480229009309).

It is a super-2 number, since 2×14802290092802 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6520832527 + ... + 6520832753.

It is an arithmetic number, because the mean of its divisors is an integer number (3181420800).

Almost surely, 21480229009280 is an apocalyptic number.

1480229009280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1480229009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257774899200).

1480229009280 is an abundant number, since it is smaller than the sum of its proper divisors (5035320789120).

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

1480229009280 is a wasteful number, since it uses less digits than its factorization.

1480229009280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 1480229009280 in words is "one trillion, four hundred eighty billion, two hundred twenty-nine million, nine thousand, two hundred eighty".