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1410211214300 = 225272316390989
BaseRepresentation
bin10100100001010111001…
…000110111001111011100
311222211000001012020011002
4110201113020313033130
5141101103032324200
62555501520245432
7203612230354100
oct24412710671734
94884001166132
101410211214300
114a4081514779
121a9384a70878
13a2ca02a6b05
144c37c82d900
1526a3983ebd5
hex148572373dc

1410211214300 has 108 divisors (see below), whose sum is σ = 3560940600840. Its totient is φ = 483342814080.

The previous prime is 1410211214221. The next prime is 1410211214341. The reversal of 1410211214300 is 34121120141.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15453206 + ... + 15544194.

It is an arithmetic number, because the mean of its divisors is an integer number (32971672230).

Almost surely, 21410211214300 is an apocalyptic number.

1410211214300 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 1410211214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780470300420).

1410211214300 is an abundant number, since it is smaller than the sum of its proper divisors (2150729386540).

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

1410211214300 is a wasteful number, since it uses less digits than its factorization.

1410211214300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94180 (or 94166 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1410211214300 its reverse (34121120141), we get a palindrome (1444332334441).

The spelling of 1410211214300 in words is "one trillion, four hundred ten billion, two hundred eleven million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 3163 4900 6326 12652 15815 22141 31630 44282 63260 79075 88564 90989 110705 154987 158150 181978 221410 309974 316300 363956 442820 454945 553525 619948 636923 774935 909890 1107050 1273846 1549870 1819780 2214100 2274725 2547692 3099740 3184615 3874675 4458461 4549450 6369230 7749350 8916922 9098900 12738460 15498700 15923075 17833844 22292305 31846150 44584610 63692300 89169220 111461525 222923050 287798207 445846100 575596414 1151192828 1438991035 2014587449 2877982070 4029174898 5755964140 7194955175 8058349796 10072937245 14102112143 14389910350 20145874490 28204224286 28779820700 40291748980 50364686225 56408448572 70510560715 100729372450 141021121430 201458744900 282042242860 352552803575 705105607150 1410211214300