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14552105440 = 255487186757
BaseRepresentation
bin11011000110101111…
…11000000111100000
31101120011100112212011
431203113320013200
5214300314333230
610403554042304
71023420566245
oct154327700740
941504315764
1014552105440
116198314224
1229a1579394
1314abb087a2
149c09535cc
155a283ee2a
hex3635f81e0

14552105440 has 48 divisors (see below), whose sum is σ = 34450127712. Its totient is φ = 5808858624.

The previous prime is 14552105429. The next prime is 14552105443. The reversal of 14552105440 is 4450125541.

It is a happy number.

14552105440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14552105443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15459 + ... + 171298.

It is an arithmetic number, because the mean of its divisors is an integer number (717710994).

Almost surely, 214552105440 is an apocalyptic number.

14552105440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14552105440 is an abundant number, since it is smaller than the sum of its proper divisors (19898022272).

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

14552105440 is a wasteful number, since it uses less digits than its factorization.

14552105440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187259 (or 187251 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

The spelling of 14552105440 in words is "fourteen billion, five hundred fifty-two million, one hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 487 974 1948 2435 3896 4870 7792 9740 15584 19480 38960 77920 186757 373514 747028 933785 1494056 1867570 2988112 3735140 5976224 7470280 14940560 29881120 90950659 181901318 363802636 454753295 727605272 909506590 1455210544 1819013180 2910421088 3638026360 7276052720 14552105440