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14198748720 = 24351325118131
BaseRepresentation
bin11010011100100111…
…11011011000110000
31100122112110011120020
431032103323120300
5213034334424340
610304532243440
71011600241602
oct151623733060
940575404506
1014198748720
116026907082
122903170580
131453848780
14989a51172
155817e19d0
hex34e4fb630

14198748720 has 160 divisors (see below), whose sum is σ = 47593453824. Its totient is φ = 3480960000.

The previous prime is 14198748719. The next prime is 14198748761. The reversal of 14198748720 is 2784789141.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 774055 + ... + 792185.

Almost surely, 214198748720 is an apocalyptic number.

14198748720 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 14198748720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23796726912).

14198748720 is an abundant number, since it is smaller than the sum of its proper divisors (33394705104).

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

14198748720 is a wasteful number, since it uses less digits than its factorization.

14198748720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18411 (or 18405 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The spelling of 14198748720 in words is "fourteen billion, one hundred ninety-eight million, seven hundred forty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 251 260 312 390 502 520 624 753 780 1004 1040 1255 1506 1560 2008 2510 3012 3120 3263 3765 4016 5020 6024 6526 7530 9789 10040 12048 13052 15060 16315 18131 19578 20080 26104 30120 32630 36262 39156 48945 52208 54393 60240 65260 72524 78312 90655 97890 108786 130520 145048 156624 181310 195780 217572 235703 261040 271965 290096 362620 391560 435144 471406 543930 707109 725240 783120 870288 942812 1087860 1178515 1414218 1450480 1885624 2175720 2357030 2828436 3535545 3771248 4351440 4550881 4714060 5656872 7071090 9101762 9428120 11313744 13652643 14142180 18203524 18856240 22754405 27305286 28284360 36407048 45508810 54610572 56568720 59161453 68263215 72814096 91017620 109221144 118322906 136526430 177484359 182035240 218442288 236645812 273052860 295807265 354968718 364070480 473291624 546105720 591614530 709937436 887421795 946583248 1092211440 1183229060 1419874872 1774843590 2366458120 2839749744 3549687180 4732916240 7099374360 14198748720