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14250111040 = 2651110333919
BaseRepresentation
bin11010100010101111…
…10111000001000000
31100210010002122102101
431101113313001000
5213141012023130
610314005200144
71013062642144
oct152127670100
940703078371
1014250111040
1160528a8380
122918400054
13146138cc89
149927c1224
1558608a1ca
hex3515f7040

14250111040 has 112 divisors (see below), whose sum is σ = 37063192320. Its totient is φ = 5175521280.

The previous prime is 14250111037. The next prime is 14250111047. The reversal of 14250111040 is 4011105241.

It is a junction number, because it is equal to n+sod(n) for n = 14250110999 and 14250111017.

It is not an unprimeable number, because it can be changed into a prime (14250111047) 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, 3634201 + ... + 3638119.

It is an arithmetic number, because the mean of its divisors is an integer number (330921360).

Almost surely, 214250111040 is an apocalyptic number.

14250111040 is a gapful number since it is divisible by the number (10) 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 14250111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18531596160).

14250111040 is an abundant number, since it is smaller than the sum of its proper divisors (22813081280).

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

14250111040 is a wasteful number, since it uses less digits than its factorization.

14250111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4980 (or 4970 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 14250111040 its reverse (4011105241), we get a palindrome (18261216281).

The spelling of 14250111040 in words is "fourteen billion, two hundred fifty million, one hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1033 1760 2066 3520 3919 4132 5165 7838 8264 10330 11363 15676 16528 19595 20660 22726 31352 33056 39190 41320 43109 45452 56815 62704 66112 78380 82640 86218 90904 113630 125408 156760 165280 172436 181808 215545 227260 250816 313520 330560 344872 363616 431090 454520 627040 689744 727232 862180 909040 1254080 1379488 1724360 1818080 2758976 3448720 3636160 4048327 6897440 8096654 13794880 16193308 20241635 32386616 40483270 44531597 64773232 80966540 89063194 129546464 161933080 178126388 222657985 259092928 323866160 356252776 445315970 647732320 712505552 890631940 1295464640 1425011104 1781263880 2850022208 3562527760 7125055520 14250111040