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14018020224 = 2731312722111
BaseRepresentation
bin11010000111000101…
…00000001110000000
31100011221101012200020
431003202200032000
5212202103121344
610234554453440
71004244130425
oct150342401600
940157335606
1014018020224
115a4389708a
122872734280
13142527b130
1496da47d4c
155709e2719
hex3438a0380

14018020224 has 128 divisors (see below), whose sum is σ = 40417198080. Its totient is φ = 4279080960.

The previous prime is 14018020223. The next prime is 14018020267. The reversal of 14018020224 is 42202081041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 14018020194 and 14018020203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14018020223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 622929 + ... + 645039.

It is an arithmetic number, because the mean of its divisors is an integer number (315759360).

Almost surely, 214018020224 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 14018020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20208599040).

14018020224 is an abundant number, since it is smaller than the sum of its proper divisors (26399177856).

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

14018020224 is a wasteful number, since it uses less digits than its factorization.

14018020224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22268 (or 22256 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 14018020224 in words is "fourteen billion, eighteen million, twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 127 128 156 192 208 254 312 381 384 416 508 624 762 832 1016 1248 1524 1651 1664 2032 2496 3048 3302 4064 4953 4992 6096 6604 8128 9906 12192 13208 16256 19812 22111 24384 26416 39624 44222 48768 52832 66333 79248 88444 105664 132666 158496 176888 211328 265332 287443 316992 353776 530664 574886 633984 707552 862329 1061328 1149772 1415104 1724658 2122656 2299544 2808097 2830208 3449316 4245312 4599088 5616194 6898632 8424291 8490624 9198176 11232388 13797264 16848582 18396352 22464776 27594528 33697164 36505261 36792704 44929552 55189056 67394328 73010522 89859104 109515783 110378112 134788656 146021044 179718208 219031566 269577312 292042088 359436416 438063132 539154624 584084176 876126264 1078309248 1168168352 1752252528 2336336704 3504505056 4672673408 7009010112 14018020224