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45324410461400 = 23527223201084341
BaseRepresentation
bin10100100111000111010010…
…11000101001110011011000
312221110222020002120002100202
422103203221120221303120
521420043343034231100
6240221425142521332
712355403100164300
oct1223435130516330
9187428202502322
1045324410461400
1113494a7a111874
125100211436248
131c3a0c581bb15
14b299dad28600
15538ed2b6b7d5
hex2938e9629cd8

45324410461400 has 144 divisors (see below), whose sum is σ = 127913771633040. Its totient is φ = 14864154412800.

The previous prime is 45324410461387. The next prime is 45324410461403. The reversal of 45324410461400 is 416401442354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45324410461403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100316771 + ... + 100767570.

It is an arithmetic number, because the mean of its divisors is an integer number (888290080785).

Almost surely, 245324410461400 is an apocalyptic number.

45324410461400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45324410461400 is an abundant number, since it is smaller than the sum of its proper divisors (82589361171640).

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

45324410461400 is a wasteful number, since it uses less digits than its factorization.

45324410461400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201084394 (or 201084378 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

The spelling of 45324410461400 in words is "forty-five trillion, three hundred twenty-four billion, four hundred ten million, four hundred sixty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 35 40 46 49 50 56 70 92 98 100 115 140 161 175 184 196 200 230 245 280 322 350 392 460 490 575 644 700 805 920 980 1127 1150 1225 1288 1400 1610 1960 2254 2300 2450 3220 4025 4508 4600 4900 5635 6440 8050 9016 9800 11270 16100 22540 28175 32200 45080 56350 112700 225400 201084341 402168682 804337364 1005421705 1407590387 1608674728 2010843410 2815180774 4021686820 4624939843 5027108525 5630361548 7037951935 8043373640 9249879686 9853132709 10054217050 11260723096 14075903870 18499759372 19706265418 20108434100 23124699215 28151807740 32374578901 35189759675 36999518744 39412530836 40216868200 46249398430 49265663545 56303615480 64749157802 70379519350 78825061672 92498796860 98531327090 115623496075 129498315604 140759038700 161872894505 184997593720 197062654180 226622052307 231246992150 246328317725 258996631208 281518077400 323745789010 394125308360 453244104614 462493984300 492656635450 647491578020 809364472525 906488209228 924987968600 985313270900 1133110261535 1294983156040 1618728945050 1812976418456 1970626541800 2266220523070 3237457890100 4532441046140 5665551307675 6474915780200 9064882092280 11331102615350 22662205230700 45324410461400