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1457113305 = 35313319467
BaseRepresentation
bin101011011011001…
…1100100011011001
310202112211000200110
41112312130203121
510441010111210
6400330554533
751052154514
oct12666344331
93675730613
101457113305
1168855887a
12347b98a49
131a2b5782b
14db73bd7b
1587dc7420
hex56d9c8d9

1457113305 has 32 divisors (see below), whose sum is σ = 2414112768. Its totient is φ = 749707200.

The previous prime is 1457113303. The next prime is 1457113337. The reversal of 1457113305 is 5033117541.

It is not a de Polignac number, because 1457113305 - 21 = 1457113303 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1457113303) 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 31 ways as a sum of consecutive naturals, for example, 149182 + ... + 158648.

It is an arithmetic number, because the mean of its divisors is an integer number (75441024).

Almost surely, 21457113305 is an apocalyptic number.

1457113305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1457113305 is a deficient number, since it is larger than the sum of its proper divisors (956999463).

1457113305 is a wasteful number, since it uses less digits than its factorization.

1457113305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9837.

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 1457113305 is about 38172.1535284558. The cubic root of 1457113305 is about 1133.6990288060.

The spelling of 1457113305 in words is "one billion, four hundred fifty-seven million, one hundred thirteen thousand, three hundred five".

Divisors: 1 3 5 15 31 93 155 331 465 993 1655 4965 9467 10261 28401 30783 47335 51305 142005 153915 293477 880431 1467385 3133577 4402155 9400731 15667885 47003655 97140887 291422661 485704435 1457113305