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1230360134656 = 21017220392
BaseRepresentation
bin10001111001110111001…
…011011100010000000000
311100121202220122202020011
4101321313023130100000
5130124234143302111
62341115235354304
7154614320406112
oct21716713342000
94317686582204
101230360134656
1143487a247674
1217a551152994
138c03a473c23
144379a71b3b2
1522010251021
hex11e772dc400

1230360134656 has 99 divisors (see below), whose sum is σ = 2613988759669. Its totient is φ = 578709045248.

The previous prime is 1230360134599. The next prime is 1230360134771. The reversal of 1230360134656 is 6564310630321.

The square root of 1230360134656 is 1109216.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 957892838400 + 272467296256 = 978720^2 + 521984^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 603412485 + ... + 603414523.

Almost surely, 21230360134656 is an apocalyptic number.

1230360134656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1230360134656 is the 1109216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230360134656

1230360134656 is an abundant number, since it is smaller than the sum of its proper divisors (1383628625013).

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

1230360134656 is an frugal number, since it uses more digits than its factorization.

1230360134656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4132 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 40.

Adding to 1230360134656 its reverse (6564310630321), we get a palindrome (7794670764977).

The spelling of 1230360134656 in words is "one trillion, two hundred thirty billion, three hundred sixty million, one hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 512 544 578 1024 1088 1156 2039 2176 2312 4078 4352 4624 8156 8704 9248 16312 17408 18496 32624 34663 36992 65248 69326 73984 130496 138652 147968 260992 277304 295936 521984 554608 589271 1043968 1109216 1178542 2087936 2218432 2357084 4157521 4436864 4714168 8315042 8873728 9428336 16630084 17747456 18856672 33260168 35494912 37713344 66520336 70677857 75426688 133040672 141355714 150853376 266081344 282711428 301706752 532162688 565422856 603413504 1064325376 1130845712 1201523569 2128650752 2261691424 2403047138 4257301504 4523382848 4806094276 9046765696 9612188552 18093531392 19224377104 36187062784 38448754208 72374125568 76897508416 153795016832 307590033664 615180067328 1230360134656