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14323825252300 = 22522979431145063
BaseRepresentation
bin1101000001110000011010…
…0001000001011111001100
31212201100022000021012102111
43100130012201001133030
53334140143231033200
650244135142033404
73005601512522044
oct320340641013714
955640260235374
1014323825252300
114622777a2a643
121734078118864
137cb966ac6885
143773c391c724
1519c8e00810ba
hexd07068417cc

14323825252300 has 144 divisors (see below), whose sum is σ = 32637311078400. Its totient is φ = 5449225017600.

The previous prime is 14323825252259. The next prime is 14323825252339. The reversal of 14323825252300 is 325252832341.

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, 98669569 + ... + 98814631.

It is an arithmetic number, because the mean of its divisors is an integer number (226647993600).

Almost surely, 214323825252300 is an apocalyptic number.

14323825252300 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 14323825252300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16318655539200).

14323825252300 is an abundant number, since it is smaller than the sum of its proper divisors (18313485826100).

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

14323825252300 is a wasteful number, since it uses less digits than its factorization.

14323825252300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145616 (or 145609 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 14323825252300 in words is "fourteen trillion, three hundred twenty-three billion, eight hundred twenty-five million, two hundred fifty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 79 100 116 145 158 290 316 395 431 580 725 790 862 1450 1580 1724 1975 2155 2291 2900 3950 4310 4582 7900 8620 9164 10775 11455 12499 21550 22910 24998 34049 43100 45820 49996 57275 62495 68098 114550 124990 136196 145063 170245 229100 249980 290126 312475 340490 580252 624950 680980 725315 851225 987421 1249900 1450630 1702450 1974842 2901260 3404900 3626575 3949684 4206827 4937105 7253150 8413654 9874210 11459977 14506300 16827308 19748420 21034135 22919954 24685525 42068270 45839908 49371050 57299885 62522153 84136540 98742100 105170675 114599770 125044306 210341350 229199540 250088612 286499425 312610765 332339333 420682700 572998850 625221530 664678666 1145997700 1250443060 1329357332 1563053825 1661696665 1813142437 3126107650 3323393330 3626284874 4939250087 6252215300 6646786660 7252569748 8308483325 9065712185 9878500174 16616966650 18131424370 19757000348 24696250435 33233933300 36262848740 45328560925 49392500870 90657121850 98785001740 123481252175 143238252523 181314243700 246962504350 286476505046 493925008700 572953010092 716191262615 1432382525230 2864765050460 3580956313075 7161912626150 14323825252300