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14420245440 = 263550329863
BaseRepresentation
bin11010110111000001…
…10111101111000000
31101012222020100221110
431123200313233000
5214013040323230
610342523523320
71020230030616
oct153340675700
941188210843
1014420245440
11612a941917
122965389540
13148a6bb513
149ab22b6b6
15595e954b0
hex35b837bc0

14420245440 has 112 divisors (see below), whose sum is σ = 45876837888. Its totient is φ = 3837625344.

The previous prime is 14420245409. The next prime is 14420245481. The reversal of 14420245440 is 4454202441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14420245398 and 14420245407.

It is a congruent number.

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, 467949 + ... + 497811.

It is an arithmetic number, because the mean of its divisors is an integer number (409614624).

Almost surely, 214420245440 is an apocalyptic number.

14420245440 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 14420245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22938418944).

14420245440 is an abundant number, since it is smaller than the sum of its proper divisors (31456592448).

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

14420245440 is a wasteful number, since it uses less digits than its factorization.

14420245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30386 (or 30376 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 14420245440 its reverse (4454202441), we get a palindrome (18874447881).

The spelling of 14420245440 in words is "fourteen billion, four hundred twenty million, two hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 503 960 1006 1509 2012 2515 3018 4024 5030 6036 7545 8048 10060 12072 15090 16096 20120 24144 29863 30180 32192 40240 48288 59726 60360 80480 89589 96576 119452 120720 149315 160960 179178 238904 241440 298630 358356 447945 477808 482880 597260 716712 895890 955616 1194520 1433424 1791780 1911232 2389040 2866848 3583560 4778080 5733696 7167120 9556160 14334240 15021089 28668480 30042178 45063267 60084356 75105445 90126534 120168712 150210890 180253068 225316335 240337424 300421780 360506136 450632670 480674848 600843560 721012272 901265340 961349696 1201687120 1442024544 1802530680 2403374240 2884049088 3605061360 4806748480 7210122720 14420245440