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1394013456 = 243311319463
BaseRepresentation
bin101001100010110…
…1111010100010000
310121011002012222000
41103011233110100
510323331412311
6350154314000
746354630113
oct12305572420
93534065860
101394013456
1165597aa40
1232aa28900
13192a63944
14d31d457a
15825b1056
hex5316f510

1394013456 has 160 divisors (see below), whose sum is σ = 4506378240. Its totient is φ = 408758400.

The previous prime is 1394013391. The next prime is 1394013461. The reversal of 1394013456 is 6543104931.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1394013456.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142581 + ... + 152043.

It is an arithmetic number, because the mean of its divisors is an integer number (28164864).

Almost surely, 21394013456 is an apocalyptic number.

1394013456 is a gapful number since it is divisible by the number (16) 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 1394013456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253189120).

1394013456 is an abundant number, since it is smaller than the sum of its proper divisors (3112364784).

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

1394013456 is a wasteful number, since it uses less digits than its factorization.

1394013456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9522 (or 9510 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1394013456 is about 37336.4896046749. The cubic root of 1394013456 is about 1117.0921208629.

The spelling of 1394013456 in words is "one billion, three hundred ninety-four million, thirteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 33 36 44 48 54 62 66 72 88 93 99 108 124 132 144 176 186 198 216 248 264 279 297 341 372 396 432 496 528 558 594 682 744 792 837 1023 1116 1188 1364 1488 1584 1674 2046 2232 2376 2728 3069 3348 4092 4464 4752 5456 6138 6696 8184 9207 9463 12276 13392 16368 18414 18926 24552 28389 36828 37852 49104 56778 73656 75704 85167 104093 113556 147312 151408 170334 208186 227112 255501 293353 312279 340668 416372 454224 511002 586706 624558 681336 832744 880059 936837 1022004 1173412 1249116 1362672 1665488 1760118 1873674 2044008 2346824 2498232 2640177 2810511 3226883 3520236 3747348 4088016 4693648 4996464 5280354 5621022 6453766 7040472 7494696 7920531 9680649 10560708 11242044 12907532 14080944 14989392 15841062 19361298 21121416 22484088 25815064 29041947 31682124 38722596 42242832 44968176 51630128 58083894 63364248 77445192 87125841 116167788 126728496 154890384 174251682 232335576 348503364 464671152 697006728 1394013456