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15242000607440 = 2451259151330427
BaseRepresentation
bin1101110111001100111000…
…0010000010100011010000
31222222010021020011222201022
43131303032002002203100
53444211104123414230
652230024534255012
73132124661336135
oct335631602024320
958863236158638
1015242000607440
114947106a917a2
1218620031b7468
13867411c1bb99
143a9a06b3a58c
151b672d0531e5
hexddcce0828d0

15242000607440 has 40 divisors (see below), whose sum is σ = 35465799106080. Its totient is φ = 6091957629056.

The previous prime is 15242000607439. The next prime is 15242000607443. The reversal of 15242000607440 is 4470600024251.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 15242000607440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15242000607443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75564494 + ... + 75765933.

It is an arithmetic number, because the mean of its divisors is an integer number (886644977652).

Almost surely, 215242000607440 is an apocalyptic number.

15242000607440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15242000607440 is an abundant number, since it is smaller than the sum of its proper divisors (20223798498640).

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

15242000607440 is a wasteful number, since it uses less digits than its factorization.

15242000607440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151331699 (or 151331693 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The spelling of 15242000607440 in words is "fifteen trillion, two hundred forty-two billion, six hundred seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1259 2518 5036 6295 10072 12590 20144 25180 50360 100720 151330427 302660854 605321708 756652135 1210643416 1513304270 2421286832 3026608540 6053217080 12106434160 190525007593 381050015186 762100030372 952625037965 1524200060744 1905250075930 3048400121488 3810500151860 7621000303720 15242000607440