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1054040535424 = 2771457253789
BaseRepresentation
bin11110101011010011011…
…01100011000110000000
310201202122220020001201001
433111221231203012000
5114232133334113144
62124115230421344
7136103051503312
oct17255155430600
93652586201631
101054040535424
1137701a449018
12150344061854
137851b180416
143903163d7b2
151c640bdbbd4
hexf569b63180

1054040535424 has 64 divisors (see below), whose sum is σ = 2134089655200. Its totient is φ = 518458429440.

The previous prime is 1054040535377. The next prime is 1054040535473. The reversal of 1054040535424 is 4245350404501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10540405354242 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 4026322 + ... + 4280110.

Almost surely, 21054040535424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054040535424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067044827600).

1054040535424 is an abundant number, since it is smaller than the sum of its proper divisors (1080049119776).

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

1054040535424 is an equidigital number, since it uses as much as digits as its factorization.

1054040535424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254331 (or 254319 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 37.

Adding to 1054040535424 its reverse (4245350404501), we get a palindrome (5299390939925).

The spelling of 1054040535424 in words is "one trillion, fifty-four billion, forty million, five hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 71 128 142 284 457 568 914 1136 1828 2272 3656 4544 7312 9088 14624 29248 32447 58496 64894 129788 253789 259576 507578 519152 1015156 1038304 2030312 2076608 4060624 4153216 8121248 16242496 18019019 32484992 36038038 72076076 115981573 144152152 231963146 288304304 463926292 576608608 927852584 1153217216 1855705168 2306434432 3711410336 7422820672 8234691683 14845641344 16469383366 32938766732 65877533464 131755066928 263510133856 527020267712 1054040535424