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241145609152 = 2673714547877
BaseRepresentation
bin1110000010010101100…
…1011111101111000000
3212001102212000012022111
43200211121133233000
512422331233443102
6302440351145104
723264545600120
oct3404531375700
9761385005274
10241145609152
11932a6456368
123a89b215194
1319980831076
14b9588a0c80
156415800cd7
hex382565fbc0

241145609152 has 56 divisors (see below), whose sum is σ = 561664473824. Its totient is φ = 100554918912.

The previous prime is 241145609137. The next prime is 241145609153. The reversal of 241145609152 is 251906541142.

241145609152 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241145609153) 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, 7257363 + ... + 7290514.

Almost surely, 2241145609152 is an apocalyptic number.

It is an amenable number.

241145609152 is an abundant number, since it is smaller than the sum of its proper divisors (320518864672).

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

241145609152 is a wasteful number, since it uses less digits than its factorization.

241145609152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14547933 (or 14547923 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 241145609152 in words is "two hundred forty-one billion, one hundred forty-five million, six hundred nine thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 148 224 259 296 448 518 592 1036 1184 2072 2368 4144 8288 16576 14547877 29095754 58191508 101835139 116383016 203670278 232766032 407340556 465532064 538271449 814681112 931064128 1076542898 1629362224 2153085796 3258724448 3767900143 4306171592 6517448896 7535800286 8612343184 15071600572 17224686368 30143201144 34449372736 60286402288 120572804576 241145609152