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242423151211040 = 2551515144695069
BaseRepresentation
bin110111000111101110001001…
…110100000011001000100000
31011210100102112020001122222112
4313013232021310003020200
5223233330103202223130
62215331354101454452
7102030331452002462
oct6707561164031040
91153312466048875
10242423151211040
117027509899a068
1223233292a11428
13a536535c1c387
1443c14b3762132
151d05eb0db0495
hexdc7b89d03220

242423151211040 has 24 divisors (see below), whose sum is σ = 572724694736460. Its totient is φ = 96969260484352.

The previous prime is 242423151210931. The next prime is 242423151211063. The reversal of 242423151211040 is 40112151324242.

It can be written as a sum of positive squares in 2 ways, for example, as 226791913590544 + 15631237620496 = 15059612^2 + 3953636^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 242423151210988 and 242423151211006.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 757572347375 + ... + 757572347694.

Almost surely, 2242423151211040 is an apocalyptic number.

242423151211040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242423151211040 is an abundant number, since it is smaller than the sum of its proper divisors (330301543525420).

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

242423151211040 is a wasteful number, since it uses less digits than its factorization.

242423151211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515144695084 (or 1515144695076 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 242423151211040 in words is "two hundred forty-two trillion, four hundred twenty-three billion, one hundred fifty-one million, two hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1515144695069 3030289390138 6060578780276 7575723475345 12121157560552 15151446950690 24242315121104 30302893901380 48484630242208 60605787802760 121211575605520 242423151211040