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14268105024 = 2631913728549
BaseRepresentation
bin11010100100111001…
…00000000101000000
31100211100221211112020
431102130200011000
5213210113330044
610315451001440
71013401614555
oct152234400500
940740854466
1014268105024
116061a78538
122922439280
1314650202c4
14994d46a2c
15587941a19
hex352720140

14268105024 has 112 divisors (see below), whose sum is σ = 40029384000. Its totient is φ = 4472672256.

The previous prime is 14268105023. The next prime is 14268105029. The reversal of 14268105024 is 42050186241.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14268105023) 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, 485502 + ... + 514050.

Almost surely, 214268105024 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 14268105024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20014692000).

14268105024 is an abundant number, since it is smaller than the sum of its proper divisors (25761278976).

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

14268105024 is a wasteful number, since it uses less digits than its factorization.

14268105024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28720 (or 28710 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 14268105024 in words is "fourteen billion, two hundred sixty-eight million, one hundred five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 137 152 192 228 274 304 411 456 548 608 822 912 1096 1216 1644 1824 2192 2603 3288 3648 4384 5206 6576 7809 8768 10412 13152 15618 20824 26304 28549 31236 41648 57098 62472 83296 85647 114196 124944 166592 171294 228392 249888 342588 456784 499776 542431 685176 913568 1084862 1370352 1627293 1827136 2169724 2740704 3254586 3911213 4339448 5481408 6509172 7822426 8678896 11733639 13018344 15644852 17357792 23467278 26036688 31289704 34715584 46934556 52073376 62579408 74313047 93869112 104146752 125158816 148626094 187738224 222939141 250317632 297252188 375476448 445878282 594504376 750952896 891756564 1189008752 1783513128 2378017504 3567026256 4756035008 7134052512 14268105024