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14548991080350 = 23521922411111439
BaseRepresentation
bin1101001110110111001101…
…1100011111011110011110
31220111212111012111102001110
43103231303130133132132
53401332313204032400
650535414135122450
73031062363502116
oct323556334373636
956455435442043
1014548991080350
1146aa21319a941
12176b837813426
13816c6bb0065c
14384263dd2046
151a36bca31e50
hexd3b7371f79e

14548991080350 has 144 divisors (see below), whose sum is σ = 38096609160960. Its totient is φ = 3673977134400.

The previous prime is 14548991080343. The next prime is 14548991080367. The reversal of 14548991080350 is 5308019984541.

It is a happy number.

It is a super-2 number, since 2×145489910803502 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 130499931 + ... + 130611369.

It is an arithmetic number, because the mean of its divisors is an integer number (264559785840).

Almost surely, 214548991080350 is an apocalyptic number.

14548991080350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14548991080350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19048304580480).

14548991080350 is an abundant number, since it is smaller than the sum of its proper divisors (23547618080610).

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

14548991080350 is a wasteful number, since it uses less digits than its factorization.

14548991080350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113903 (or 113879 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 57.

The spelling of 14548991080350 in words is "fourteen trillion, five hundred forty-eight billion, nine hundred ninety-one million, eighty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 361 475 570 722 950 1083 1425 1805 2166 2411 2850 3610 4822 5415 7233 9025 10830 12055 14466 18050 24110 27075 36165 45809 54150 60275 72330 91618 111439 120550 137427 180825 222878 229045 274854 334317 361650 458090 557195 668634 687135 870371 1114390 1145225 1374270 1671585 1740742 2117341 2290450 2611113 2785975 3343170 3435675 4234682 4351855 5222226 5571950 6352023 6871350 8357925 8703710 10586705 12704046 13055565 16715850 21173410 21759275 26111130 31760115 40229479 43518550 52933525 63520230 65277825 80458958 105867050 120688437 130555650 158800575 201147395 241376874 268679429 317601150 402294790 537358858 603442185 806038287 1005736975 1206884370 1343397145 1612076574 2011473950 2686794290 3017210925 4030191435 5104909151 6034421850 6716985725 8060382870 10209818302 13433971450 15314727453 20150957175 25524545755 30629454906 40301914350 51049091510 76573637265 96993273869 127622728775 153147274530 193986547738 255245457550 290979821607 382868186325 484966369345 581959643214 765736372650 969932738690 1454899108035 2424831846725 2909798216070 4849663693450 7274495540175 14548991080350