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1014003945 = 32573833719
BaseRepresentation
bin111100011100000…
…111100011101001
32121200000201220200
4330130013203221
54034041111240
6244341342413
734061614503
oct7434074351
92550021820
101014003945
11480419199
12243707a09
13132101346
1498954d73
155e04a930
hex3c7078e9

1014003945 has 48 divisors (see below), whose sum is σ = 1803634560. Its totient is φ = 526825728.

The previous prime is 1014003917. The next prime is 1014003979. The reversal of 1014003945 is 5493004101.

It is not a de Polignac number, because 1014003945 - 27 = 1014003817 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270796 + ... + 274514.

It is an arithmetic number, because the mean of its divisors is an integer number (37575720).

Almost surely, 21014003945 is an apocalyptic number.

1014003945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1014003945 is a deficient number, since it is larger than the sum of its proper divisors (789630615).

1014003945 is a wasteful number, since it uses less digits than its factorization.

1014003945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3886 (or 3883 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1014003945 is about 31843.4285999482. The cubic root of 1014003945 is about 1004.6463595732.

The spelling of 1014003945 in words is "one billion, fourteen million, three thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 45 73 83 219 249 365 415 657 747 1095 1245 3285 3719 3735 6059 11157 18177 18595 30295 33471 54531 55785 90885 167355 271487 272655 308677 814461 926031 1357435 1543385 2443383 2778093 4072305 4630155 12216915 13890465 22533421 67600263 112667105 202800789 338001315 1014003945