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12354555440 = 245198127997
BaseRepresentation
bin10111000000110001…
…11000111000110000
31011220000021102222102
423200120320320300
5200300231233230
65401532555532
7615104663033
oct134030707060
934800242872
1012354555440
11526a9083a7
122489622ba8
13121b754346
14852b5301a
154c4959045
hex2e0638e30

12354555440 has 40 divisors (see below), whose sum is σ = 30236152560. Its totient is φ = 4681725696.

The previous prime is 12354555403. The next prime is 12354555487. The reversal of 12354555440 is 4455545321.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 12354555394 and 12354555403.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4062479 + ... + 4065518.

It is an arithmetic number, because the mean of its divisors is an integer number (755903814).

Almost surely, 212354555440 is an apocalyptic number.

12354555440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12354555440 is an abundant number, since it is smaller than the sum of its proper divisors (17881597120).

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

12354555440 is a wasteful number, since it uses less digits than its factorization.

12354555440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8128029 (or 8128023 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 38.

The spelling of 12354555440 in words is "twelve billion, three hundred fifty-four million, five hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 8127997 16255994 32511988 40639985 65023976 81279970 130047952 154431943 162559940 308863886 325119880 617727772 650239760 772159715 1235455544 1544319430 2470911088 3088638860 6177277720 12354555440