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1230490113840 = 2433513473073037
BaseRepresentation
bin10001111001111110111…
…011010001011100110000
311100122002222020101011000
4101321332323101130300
5130130020432120330
62341140201322000
7154620456252141
oct21717673213460
94318088211130
101230490113840
11434936654989
1217a588796300
138c05b3830a0
14437adab3ac8
152201b878560
hex11e7eed1730

1230490113840 has 640 divisors, whose sum is σ = 4678220574720. Its totient is φ = 295382495232.

The previous prime is 1230490113823. The next prime is 1230490113857. The reversal of 1230490113840 is 483110940321.

1230490113840 is a `hidden beast` number, since 1 + 2 + 30 + 490 + 1 + 138 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1230490113823) and next prime (1230490113857).

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

It is a junction number, because it is equal to n+sod(n) for n = 1230490113795 and 1230490113804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 405164802 + ... + 405167838.

It is an arithmetic number, because the mean of its divisors is an integer number (7309719648).

Almost surely, 21230490113840 is an apocalyptic number.

1230490113840 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 1230490113840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339110287360).

1230490113840 is an abundant number, since it is smaller than the sum of its proper divisors (3447730460880).

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

1230490113840 is a wasteful number, since it uses less digits than its factorization.

1230490113840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1230490113840 in words is "one trillion, two hundred thirty billion, four hundred ninety million, one hundred thirteen thousand, eight hundred forty".