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14427003216 = 24317101193907
BaseRepresentation
bin11010110111110101…
…01001100101010000
31101020102221200212110
431123322221211100
5214021303100331
610343324425320
71020341334603
oct153372514520
941212850773
1014427003216
11613373805a
1229676a8240
13148bc163c2
149ac0aa33a
1559687c946
hex35bea9950

14427003216 has 160 divisors (see below), whose sum is σ = 40103468928. Its totient is φ = 4453171200.

The previous prime is 14427003203. The next prime is 14427003223. The reversal of 14427003216 is 61230072441.

It is a congruent number.

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, 15905835 + ... + 15906741.

Almost surely, 214427003216 is an apocalyptic number.

14427003216 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 14427003216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20051734464).

14427003216 is an abundant number, since it is smaller than the sum of its proper divisors (25676465712).

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

14427003216 is a wasteful number, since it uses less digits than its factorization.

14427003216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

Adding to 14427003216 its reverse (61230072441), we get a palindrome (75657075657).

The spelling of 14427003216 in words is "fourteen billion, four hundred twenty-seven million, three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 101 102 136 193 202 204 272 303 386 404 408 579 606 772 808 816 907 1158 1212 1544 1616 1717 1814 2316 2424 2721 3088 3281 3434 3628 4632 4848 5151 5442 6562 6868 7256 9264 9843 10302 10884 13124 13736 14512 15419 19493 19686 20604 21768 26248 27472 30838 38986 39372 41208 43536 46257 52496 58479 61676 77972 78744 82416 91607 92514 116958 123352 155944 157488 175051 183214 185028 233916 246704 274821 311888 331381 350102 366428 370056 467832 525153 549642 662762 700204 732856 740112 935664 994143 1050306 1099284 1325524 1400408 1465712 1557319 1988286 2100612 2198568 2651048 2800816 2975867 3114638 3976572 4201224 4397136 4671957 5302096 5951734 6229276 7953144 8402448 8927601 9343914 11903468 12458552 15906288 17680151 17855202 18687828 23806936 24917104 35360302 35710404 37375656 47613872 53040453 70720604 71420808 74751312 106080906 141441208 142841616 212161812 282882416 300562567 424323624 601125134 848647248 901687701 1202250268 1803375402 2404500536 3606750804 4809001072 7213501608 14427003216