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10540150144 = 27174843819
BaseRepresentation
bin10011101000011110…
…11110110110000000
31000012120011002211021
421310033132312000
5133041234301034
64501515555224
7522123540466
oct116417366600
930176132737
1010540150144
114519704897
122061a5bb14
13cbc88c544
1471dbaa836
1541a5076b4
hex2743ded80

10540150144 has 32 divisors (see below), whose sum is σ = 22233133800. Its totient is φ = 4960069632.

The previous prime is 10540150139. The next prime is 10540150147. The reversal of 10540150144 is 44105104501.

10540150144 is digitally balanced in base 2, because in such base 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 (32).

It is a super-2 number, since 2×105401501442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10540150147) 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 3 ways as a sum of consecutive naturals, for example, 2419734 + ... + 2424085.

Almost surely, 210540150144 is an apocalyptic number.

It is an amenable number.

10540150144 is an abundant number, since it is smaller than the sum of its proper divisors (11692983656).

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

10540150144 is an equidigital number, since it uses as much as digits as its factorization.

10540150144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4843850 (or 4843838 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 10540150144 its reverse (44105104501), we get a palindrome (54645254645).

The spelling of 10540150144 in words is "ten billion, five hundred forty million, one hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 4843819 9687638 19375276 38750552 77501104 82344923 155002208 164689846 310004416 329379692 620008832 658759384 1317518768 2635037536 5270075072 10540150144