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14442300302100 = 223521114321305597
BaseRepresentation
bin1101001000101001110000…
…1011011110001100010100
31220010200002201222022111220
43102022130023132030110
53343110312334131400
650414411241330340
73020264444032356
oct322123413361424
956120081868456
1014442300302100
114668a44013040
1217530211969b0
13809b98094338
1437d0225090d6
151a0a2620e7a0
hexd229c2de314

14442300302100 has 144 divisors (see below), whose sum is σ = 45588483775296. Its totient is φ = 3500907776000.

The previous prime is 14442300302099. The next prime is 14442300302147. The reversal of 14442300302100 is 120300324441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47106502 + ... + 47412098.

It is an arithmetic number, because the mean of its divisors is an integer number (316586692884).

Almost surely, 214442300302100 is an apocalyptic number.

14442300302100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14442300302100 is an abundant number, since it is smaller than the sum of its proper divisors (31146183473196).

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

14442300302100 is a wasteful number, since it uses less digits than its factorization.

14442300302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319946 (or 319939 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14442300302100 its reverse (120300324441), we get a palindrome (14562600626541).

The spelling of 14442300302100 in words is "fourteen trillion, four hundred forty-two billion, three hundred million, three hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 14321 28642 42963 57284 71605 85926 143210 157531 171852 214815 286420 305597 315062 358025 429630 472593 611194 630124 716050 787655 859260 916791 945186 1074075 1222388 1432100 1527985 1575310 1833582 1890372 2148150 2362965 3055970 3150620 3361567 3667164 3938275 4296300 4583955 4725930 6111940 6723134 7639925 7876550 9167910 9451860 10084701 11814825 13446268 15279850 15753100 16807835 18335820 20169402 22919775 23629650 30559700 33615670 40338804 45839550 47259300 50423505 67231340 84039175 91679100 100847010 168078350 201694020 252117525 336156700 504235050 1008470100 4376454637 8752909274 13129363911 17505818548 21882273185 26258727822 43764546370 48141001007 52517455644 65646819555 87529092740 96282002014 109411365925 131293639110 144423003021 192564004028 218822731850 240705005035 262587278220 288846006042 328234097775 437645463700 481410010070 577692012084 656468195550 722115015105 962820020140 1203525025175 1312936391100 1444230030210 2407050050350 2888460060420 3610575075525 4814100100700 7221150151050 14442300302100