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14397249216 = 263773146743
BaseRepresentation
bin11010110100010010…
…01001011011000000
31101011100222001001110
431122021021123000
5213441143433331
610340343003320
71016530412340
oct153211113300
941140861043
1014397249216
116118965479
122959739540
1314859c939c
149a8162d20
15593e51946
hex35a2496c0

14397249216 has 112 divisors (see below), whose sum is σ = 44131203584. Its totient is φ = 4057122816.

The previous prime is 14397249203. The next prime is 14397249241. The reversal of 14397249216 is 61294279341.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×143972492162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24741 + ... + 171483.

Almost surely, 214397249216 is an apocalyptic number.

14397249216 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 14397249216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22065601792).

14397249216 is an abundant number, since it is smaller than the sum of its proper divisors (29733954368).

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

14397249216 is a wasteful number, since it uses less digits than its factorization.

14397249216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146838 (or 146828 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The spelling of 14397249216 in words is "fourteen billion, three hundred ninety-seven million, two hundred forty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 112 146 168 192 219 224 292 336 438 448 511 584 672 876 1022 1168 1344 1533 1752 2044 2336 3066 3504 4088 4672 6132 7008 8176 12264 14016 16352 24528 32704 49056 98112 146743 293486 440229 586972 880458 1027201 1173944 1760916 2054402 2347888 3081603 3521832 4108804 4695776 6163206 7043664 8217608 9391552 10712239 12326412 14087328 16435216 21424478 24652824 28174656 32136717 32870432 42848956 49305648 64273434 65740864 74985673 85697912 98611296 128546868 149971346 171395824 197222592 224957019 257093736 299942692 342791648 449914038 514187472 599885384 685583296 899828076 1028374944 1199770768 1799656152 2056749888 2399541536 3599312304 4799083072 7198624608 14397249216