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1145406464 = 2107914159
BaseRepresentation
bin100010001000101…
…1000010000000000
32221211021200021122
41010101120100000
54321211001324
6305354011412
740245536306
oct10421302000
92854250248
101145406464
11538608914
1227b716b68
131533bb307
14ac19c276
156a854a5e
hex44458400

1145406464 has 44 divisors (see below), whose sum is σ = 2318841600. Its totient is φ = 565413888.

The previous prime is 1145406461. The next prime is 1145406481. The reversal of 1145406464 is 4646045411.

It is not an unprimeable number, because it can be changed into a prime (1145406461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73817 + ... + 87975.

Almost surely, 21145406464 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 1145406464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159420800).

1145406464 is an abundant number, since it is smaller than the sum of its proper divisors (1173435136).

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

1145406464 is an equidigital number, since it uses as much as digits as its factorization.

1145406464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14258 (or 14240 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 1145406464 is about 33843.8541540410. The cubic root of 1145406464 is about 1046.2927352820.

The spelling of 1145406464 in words is "one billion, one hundred forty-five million, four hundred six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 512 632 1024 1264 2528 5056 10112 14159 20224 28318 40448 56636 80896 113272 226544 453088 906176 1118561 1812352 2237122 3624704 4474244 7249408 8948488 14498816 17896976 35793952 71587904 143175808 286351616 572703232 1145406464