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14229141472 = 257137616421
BaseRepresentation
bin11010100000001111…
…10111011111100000
31100201122122021120201
431100013313133200
5213120130011342
610311535514544
71012416464320
oct152007673740
940648567521
1014229141472
116041a85657
122911388a54
131459c2a450
1498dac3280
155842e6db7
hex3501f77e0

14229141472 has 96 divisors (see below), whose sum is σ = 34528987584. Its totient is φ = 5620838400.

The previous prime is 14229141427. The next prime is 14229141473. The reversal of 14229141472 is 27414192241.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14229141473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2212822 + ... + 2219242.

It is an arithmetic number, because the mean of its divisors is an integer number (359676954).

Almost surely, 214229141472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14229141472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17264493792).

14229141472 is an abundant number, since it is smaller than the sum of its proper divisors (20299846112).

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

14229141472 is a wasteful number, since it uses less digits than its factorization.

14229141472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7212 (or 7204 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The spelling of 14229141472 in words is "fourteen billion, two hundred twenty-nine million, one hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 761 1456 1522 2912 3044 5327 6088 6421 9893 10654 12176 12842 19786 21308 24352 25684 39572 42616 44947 51368 69251 79144 83473 85232 89894 102736 138502 158288 166946 170464 179788 205472 277004 316576 333892 359576 554008 584311 667784 719152 1108016 1168622 1335568 1438304 2216032 2337244 2671136 4674488 4886381 9348976 9772762 18697952 19545524 34204667 39091048 63522953 68409334 78182096 127045906 136818668 156364192 254091812 273637336 444660671 508183624 547274672 889321342 1016367248 1094549344 1778642684 2032734496 3557285368 7114570736 14229141472