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2424144010032 = 243231543043013
BaseRepresentation
bin100011010001101010001…
…111100001101100110000
322120202010202122000021200
4203101222033201230300
5304204121331310112
65053345243051200
7340065356050623
oct43215217415460
98522122560250
102424144010032
1185508a107288
12331994b10b00
13147798c81384
1485487457dba
15430ce361cdc
hex2346a3e1b30

2424144010032 has 60 divisors (see below), whose sum is σ = 7003082708544. Its totient is φ = 781981937280.

The previous prime is 2424144010003. The next prime is 2424144010033. The reversal of 2424144010032 is 2300104414242.

2424144010032 is a `hidden beast` number, since 242 + 4 + 14 + 401 + 0 + 0 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2424144009978 and 2424144010005.

It is not an unprimeable number, because it can be changed into a prime (2424144010033) 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 11 ways as a sum of consecutive naturals, for example, 271517043 + ... + 271525970.

Almost surely, 22424144010032 is an apocalyptic number.

It is an amenable number.

2424144010032 is an abundant number, since it is smaller than the sum of its proper divisors (4578938698512).

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

2424144010032 is a wasteful number, since it uses less digits than its factorization.

2424144010032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543043058 (or 543043049 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2424144010032 its reverse (2300104414242), we get a palindrome (4724248424274).

The spelling of 2424144010032 in words is "two trillion, four hundred twenty-four billion, one hundred forty-four million, ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 543043013 1086086026 1629129039 2172172052 3258258078 4344344104 4887387117 6516516156 8688688208 9774774234 13033032312 16834333403 19549548468 26066064624 33668666806 39099096936 50503000209 67337333612 78198193872 101006000418 134674667224 151509000627 202012000836 269349334448 303018001254 404024001672 606036002508 808048003344 1212072005016 2424144010032