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1070064144 = 243223323087
BaseRepresentation
bin111111110001111…
…110001000010000
32202120111220001100
4333301332020100
54142414023034
6254103104400
735342252352
oct7761761020
92676456040
101070064144
114aa029036
1225a442100
131408cbc66
14a21890d2
1563e21099
hex3fc7e210

1070064144 has 60 divisors (see below), whose sum is σ = 3124907136. Its totient is φ = 341178816.

The previous prime is 1070064143. The next prime is 1070064197. The reversal of 1070064144 is 4414600701.

1070064144 is a `hidden beast` number, since 10 + 7 + 0 + 0 + 641 + 4 + 4 = 666.

It is a super-4 number, since 4×10700641444 (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1070064143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158232 + ... + 164855.

Almost surely, 21070064144 is an apocalyptic number.

It is an amenable number.

1070064144 is an abundant number, since it is smaller than the sum of its proper divisors (2054842992).

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

1070064144 is a wasteful number, since it uses less digits than its factorization.

1070064144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323124 (or 323115 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1070064144 is about 32711.8349225475. The cubic root of 1070064144 is about 1022.8295597003.

Adding to 1070064144 its reverse (4414600701), we get a palindrome (5484664845).

The spelling of 1070064144 in words is "one billion, seventy million, sixty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 323087 646174 969261 1292348 1938522 2584696 2907783 3877044 5169392 5815566 7431001 7754088 11631132 14862002 15508176 22293003 23262264 29724004 44586006 46524528 59448008 66879009 89172012 118896016 133758018 178344024 267516036 356688048 535032072 1070064144