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20303124144 = 2432338348017
BaseRepresentation
bin10010111010001010…
…010001011010110000
31221101221220120101220
4102322022101122300
5313040044433034
613154354225040
71316062464522
oct227212213260
957357816356
1020303124144
118679647746
123b27585180
131bb742a734
14da866da12
157dc695749
hex4ba2916b0

20303124144 has 80 divisors (see below), whose sum is σ = 54874202112. Its totient is φ = 6456423424.

The previous prime is 20303124077. The next prime is 20303124151. The reversal of 20303124144 is 44142130302.

It is a super-3 number, since 3×203031241443 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398824 + ... + 446840.

Almost surely, 220303124144 is an apocalyptic number.

20303124144 is a gapful number since it is divisible by the number (24) 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 20303124144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27437101056).

20303124144 is an abundant number, since it is smaller than the sum of its proper divisors (34571077968).

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

20303124144 is a wasteful number, since it uses less digits than its factorization.

20303124144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48434 (or 48428 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20303124144 its reverse (44142130302), we get a palindrome (64445254446).

The spelling of 20303124144 in words is "twenty billion, three hundred three million, one hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 383 552 766 1104 1149 1532 2298 3064 4596 6128 8809 9192 17618 18384 26427 35236 48017 52854 70472 96034 105708 140944 144051 192068 211416 288102 384136 422832 576204 768272 1104391 1152408 2208782 2304816 3313173 4417564 6626346 8835128 13252692 17670256 18390511 26505384 36781022 53010768 55171533 73562044 110343066 147124088 220686132 294248176 422981753 441372264 845963506 882744528 1268945259 1691927012 2537890518 3383854024 5075781036 6767708048 10151562072 20303124144