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1394401168384 = 21071801108013
BaseRepresentation
bin10100010010101000110…
…010010100110000000000
311221022012012210200100221
4110102220302110300000
5140321213144342014
62544325024152424
7202512363240550
oct24225062246000
94838165720327
101394401168384
114983a9120224
121a62b2168714
13a165099b463
144b6bcbc7160
152641186bb24
hex144a8c94c00

1394401168384 has 88 divisors (see below), whose sum is σ = 3187444749728. Its totient is φ = 597263155200.

The previous prime is 1394401168339. The next prime is 1394401168387. The reversal of 1394401168384 is 4838611044931.

It is not an unprimeable number, because it can be changed into a prime (1394401168387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12855562 + ... + 12963574.

Almost surely, 21394401168384 is an apocalyptic number.

1394401168384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1394401168384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593722374864).

1394401168384 is an abundant number, since it is smaller than the sum of its proper divisors (1793043581344).

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

1394401168384 is a wasteful number, since it uses less digits than its factorization.

1394401168384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109841 (or 109823 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 52.

The spelling of 1394401168384 in words is "one trillion, three hundred ninety-four billion, four hundred one million, one hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 1801 3584 3602 7168 7204 12607 14408 25214 28816 50428 57632 100856 108013 115264 201712 216026 230528 403424 432052 461056 756091 806848 864104 922112 1512182 1613696 1728208 1844224 3024364 3227392 3456416 6048728 6454784 6912832 12097456 12909568 13825664 24194912 27651328 48389824 55302656 96779648 110605312 193559296 194531413 387118592 389062826 774237184 778125652 1361719891 1556251304 2723439782 3112502608 5446879564 6225005216 10893759128 12450010432 21787518256 24900020864 43575036512 49800041728 87150073024 99600083456 174300146048 199200166912 348600292096 697200584192 1394401168384