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14534421600 = 2535211353593
BaseRepresentation
bin11011000100101000…
…11010110001100000
31101111221002010012010
431202110122301200
5214231302442400
610402123032520
71023114354666
oct154224326140
941457063163
1014534421600
116189336086
12299766b740
1314a825668a
149bc46cc36
155a0eea450
hex36251ac60

14534421600 has 144 divisors (see below), whose sum is σ = 47729101392. Its totient is φ = 3841474560.

The previous prime is 14534421581. The next prime is 14534421617. The reversal of 14534421600 is 612443541.

It is a super-2 number, since 2×145344216002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244404 + ... + 297996.

It is an arithmetic number, because the mean of its divisors is an integer number (331452093).

Almost surely, 214534421600 is an apocalyptic number.

14534421600 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 14534421600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23864550696).

14534421600 is an abundant number, since it is smaller than the sum of its proper divisors (33194679792).

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

14534421600 is a wasteful number, since it uses less digits than its factorization.

14534421600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53729 (or 53716 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 14534421600 in words is "fourteen billion, five hundred thirty-four million, four hundred twenty-one thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 113 120 150 160 200 226 240 300 339 400 452 480 565 600 678 800 904 1130 1200 1356 1695 1808 2260 2400 2712 2825 3390 3616 4520 5424 5650 6780 8475 9040 10848 11300 13560 16950 18080 22600 27120 33900 45200 53593 54240 67800 90400 107186 135600 160779 214372 267965 271200 321558 428744 535930 643116 803895 857488 1071860 1286232 1339825 1607790 1714976 2143720 2572464 2679650 3215580 4019475 4287440 5144928 5359300 6056009 6431160 8038950 8574880 10718600 12112018 12862320 16077900 18168027 21437200 24224036 25724640 30280045 32155800 36336054 42874400 48448072 60560090 64311600 72672108 90840135 96896144 121120180 128623200 145344216 151400225 181680270 193792288 242240360 290688432 302800450 363360540 454200675 484480720 581376864 605600900 726721080 908401350 968961440 1211201800 1453442160 1816802700 2422403600 2906884320 3633605400 4844807200 7267210800 14534421600