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142240435203200 = 275291801484201
BaseRepresentation
bin100000010101110111101110…
…100111001110110010000000
3200122122001102111100020010012
4200111313232213032302000
5122120431402403000300
61222304204232524052
741650350404223005
oct4025675647166200
9618561374306105
10142240435203200
114135a914520934
1213b53195b50628
13614a2a5562179
14271a68c1558ac
15116a00073e435
hex815dee9cec80

142240435203200 has 96 divisors (see below), whose sum is σ = 351382878391620. Its totient is φ = 56895436800000.

The previous prime is 142240435203179. The next prime is 142240435203221. The reversal of 142240435203200 is 2302534042241.

It is an interprime number because it is at equal distance from previous prime (142240435203179) and next prime (142240435203221).

It can be written as a sum of positive squares in 6 ways, for example, as 68110952620096 + 74129482583104 = 8252936^2 + 8609848^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 11 ways as a sum of consecutive naturals, for example, 293521100 + ... + 294005300.

Almost surely, 2142240435203200 is an apocalyptic number.

142240435203200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142240435203200 is an abundant number, since it is smaller than the sum of its proper divisors (209142443188420).

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

142240435203200 is an equidigital number, since it uses as much as digits as its factorization.

142240435203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576026 (or 576009 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 142240435203200 its reverse (2302534042241), we get a palindrome (144542969245441).

The spelling of 142240435203200 in words is "one hundred forty-two trillion, two hundred forty billion, four hundred thirty-five million, two hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 91801 183602 367204 459005 484201 734408 918010 968402 1468816 1836020 1936804 2295025 2421005 2937632 3672040 3873608 4590050 4842010 5875264 7344080 7747216 9180100 9684020 11750528 12105025 14688160 15494432 18360200 19368040 24210050 29376320 30988864 36720400 38736080 48420100 58752640 61977728 73440800 77472160 96840200 146881600 154944320 193680400 293763200 309888640 387360800 774721600 1549443200 44450136001 88900272002 177800544004 222250680005 355601088008 444501360010 711202176016 889002720020 1111253400025 1422404352032 1778005440040 2222506800050 2844808704064 3556010880080 4445013600100 5689617408128 7112021760160 8890027200200 14224043520320 17780054400400 28448087040640 35560108800800 71120217601600 142240435203200