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14247677674240 = 285172301728447
BaseRepresentation
bin1100111101010100101111…
…0001000100001100000000
31212110001202011011102211121
43033111023301010030000
53331413220441033430
650145143123122024
73000234510012223
oct317251361041400
955401664142747
1014247677674240
1145a345167a14a
121721366513314
137c471cb51a8a
1437383c67d5ba
1519a934dd5a7a
hexcf54bc44300

14247677674240 has 144 divisors (see below), whose sum is σ = 36137988940032. Its totient is φ = 5363410010112.

The previous prime is 14247677674211. The next prime is 14247677674271. The reversal of 14247677674240 is 4247677674241.

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, 500835697 + ... + 500864143.

It is an arithmetic number, because the mean of its divisors is an integer number (250958256528).

Almost surely, 214247677674240 is an apocalyptic number.

14247677674240 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 14247677674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18068994470016).

14247677674240 is an abundant number, since it is smaller than the sum of its proper divisors (21890311265792).

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

14247677674240 is a wasteful number, since it uses less digits than its factorization.

14247677674240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51502 (or 51488 counting only the distinct ones).

The product of its (nonzero) digits is 88510464, while the sum is 61.

Subtracting from 14247677674240 its reverse (4247677674241), we obtain a palindrome (9999999999999).

The spelling of 14247677674240 in words is "fourteen trillion, two hundred forty-seven billion, six hundred seventy-seven million, six hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 680 1088 1280 1360 2176 2720 4352 5440 10880 21760 23017 28447 46034 56894 92068 113788 115085 142235 184136 227576 230170 284470 368272 391289 455152 460340 483599 568940 736544 782578 910304 920680 967198 1137880 1473088 1565156 1820608 1841360 1934396 1956445 2275760 2417995 2946176 3130312 3641216 3682720 3868792 3912890 4551520 4835990 5892352 6260624 7282432 7365440 7737584 7825780 9103040 9671980 12521248 14730880 15475168 15651560 18206080 19343960 25042496 29461760 30950336 31303120 36412160 38687920 50084992 61900672 62606240 77375840 100169984 123801344 125212480 154751680 250424960 309503360 500849920 619006720 654764599 1309529198 2619058396 3273822995 5238116792 6547645990 10476233584 11130998183 13095291980 20952467168 22261996366 26190583960 41904934336 44523992732 52381167920 55654990915 83809868672 89047985464 104762335840 111309981830 167619737344 178095970928 209524671680 222619963660 356191941856 419049343360 445239927320 712383883712 838098686720 890479854640 1424767767424 1780959709280 2849535534848 3561919418560 7123838837120 14247677674240