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1444457460 = 2235238110111
BaseRepresentation
bin101011000011000…
…1010101111110100
310201200000001010110
41112012022233310
510424240114320
6355155423020
750536454145
oct12606125764
93650001113
101444457460
116813a42a6
123438b4a70
131a0346174
14d9ba5acc
1586c275e0
hex5618abf4

1444457460 has 48 divisors (see below), whose sum is σ = 4046579712. Its totient is φ = 384988800.

The previous prime is 1444457453. The next prime is 1444457461. The reversal of 1444457460 is 647544441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444457461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137805 + ... + 147915.

It is an arithmetic number, because the mean of its divisors is an integer number (84303744).

Almost surely, 21444457460 is an apocalyptic number.

1444457460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444457460 is an abundant number, since it is smaller than the sum of its proper divisors (2602122252).

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

1444457460 is a wasteful number, since it uses less digits than its factorization.

1444457460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12504 (or 12502 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

The square root of 1444457460 is about 38006.0187338795. The cubic root of 1444457460 is about 1130.4072095972.

The spelling of 1444457460 in words is "one billion, four hundred forty-four million, four hundred fifty-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2381 4762 7143 9524 10111 11905 14286 20222 23810 28572 30333 35715 40444 47620 50555 60666 71430 101110 121332 142860 151665 202220 303330 606660 24074291 48148582 72222873 96297164 120371455 144445746 240742910 288891492 361114365 481485820 722228730 1444457460