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1414367616 = 2734778367
BaseRepresentation
bin101010001001101…
…1000100110000000
310122120101022121210
41110103120212000
510344034230431
6352202450120
750022632514
oct12423304600
93576338553
101414367616
11666412362
12335803940
1319703c31c
14d5bb2144
1584281d46
hex544d8980

1414367616 has 64 divisors (see below), whose sum is σ = 3836897280. Its totient is φ = 461419008.

The previous prime is 1414367579. The next prime is 1414367621. The reversal of 1414367616 is 6167634141.

It is a tau number, because it is divible by the number of its divisors (64).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21136 + ... + 57231.

It is an arithmetic number, because the mean of its divisors is an integer number (59951520).

Almost surely, 21414367616 is an apocalyptic number.

1414367616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1414367616 is an abundant number, since it is smaller than the sum of its proper divisors (2422529664).

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

1414367616 is an equidigital number, since it uses as much as digits as its factorization.

1414367616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78431 (or 78419 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 1414367616 is about 37608.0791320163. The cubic root of 1414367616 is about 1122.5028043111.

It can be divided in two parts, 141 and 4367616, that multiplied together give a square (615833856 = 248162).

The spelling of 1414367616 in words is "one billion, four hundred fourteen million, three hundred sixty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 1128 1504 2256 3008 4512 6016 9024 18048 78367 156734 235101 313468 470202 626936 940404 1253872 1880808 2507744 3683249 3761616 5015488 7366498 7523232 10030976 11049747 14732996 15046464 22099494 29465992 30092928 44198988 58931984 88397976 117863968 176795952 235727936 353591904 471455872 707183808 1414367616