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142632431033360 = 24513713013907941
BaseRepresentation
bin100000011011100100110011…
…011000101001110000010000
3200201000112020100122122021012
4200123210303120221300100
5122143342204321031420
61223204233443550052
742020565414625622
oct4033446330516020
9621015210578235
10142632431033360
11414a108a997a34
1213bb715468b328
13617824682a428
142731637286c12
1511752e45b6dc5
hex81b933629c10

142632431033360 has 40 divisors (see below), whose sum is σ = 334040989055256. Its totient is φ = 56636527354880.

The previous prime is 142632431033347. The next prime is 142632431033369. The reversal of 142632431033360 is 63330134236241.

It can be written as a sum of positive squares in 4 ways, for example, as 35640135844096 + 106992295189264 = 5969936^2 + 10343708^2 .

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

It is not an unprimeable number, because it can be changed into a prime (142632431033369) 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, 6506943011 + ... + 6506964930.

Almost surely, 2142632431033360 is an apocalyptic number.

142632431033360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142632431033360 is an abundant number, since it is smaller than the sum of its proper divisors (191408558021896).

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

142632431033360 is a wasteful number, since it uses less digits than its factorization.

142632431033360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13013908091 (or 13013908085 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 41.

The spelling of 142632431033360 in words is "one hundred forty-two trillion, six hundred thirty-two billion, four hundred thirty-one million, thirty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2740 5480 10960 13013907941 26027815882 52055631764 65069539705 104111263528 130139079410 208222527056 260278158820 520556317640 1041112635280 1782905387917 3565810775834 7131621551668 8914526939585 14263243103336 17829053879170 28526486206672 35658107758340 71316215516680 142632431033360