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120031400320440 = 23357158390268177
BaseRepresentation
bin11011010010101011111100…
…111110100101110110111000
3120201222220000200000120211120
4123102223330332211312320
5111213043301440223230
61103141355234425240
734165660665411660
oct3322537476456670
9521886020016746
10120031400320440
11352780382a5764
1211566a81132220
1351c8bb295333b
14218d79d4711a0
15dd245b189310
hex6d2afcfa5db8

120031400320440 has 128 divisors (see below), whose sum is σ = 411796206581760. Its totient is φ = 27418416850944.

The previous prime is 120031400320427. The next prime is 120031400320441. The reversal of 120031400320440 is 44023004130021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 120031400320440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120031400320441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43804369 + ... + 46463808.

It is an arithmetic number, because the mean of its divisors is an integer number (3217157863920).

Almost surely, 2120031400320440 is an apocalyptic number.

120031400320440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120031400320440 is an abundant number, since it is smaller than the sum of its proper divisors (291764806261320).

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

120031400320440 is a wasteful number, since it uses less digits than its factorization.

120031400320440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90269781 (or 90269777 counting only the distinct ones).

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

Adding to 120031400320440 its reverse (44023004130021), we get a palindrome (164054404450461).

The spelling of 120031400320440 in words is "one hundred twenty trillion, thirty-one billion, four hundred million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1583 3166 4749 6332 7915 9498 11081 12664 15830 18996 22162 23745 31660 33243 37992 44324 47490 55405 63320 66486 88648 94980 110810 132972 166215 189960 221620 265944 332430 443240 664860 1329720 90268177 180536354 270804531 361072708 451340885 541609062 631877239 722145416 902681770 1083218124 1263754478 1354022655 1805363540 1895631717 2166436248 2527508956 2708045310 3159386195 3610727080 3791263434 5055017912 5416090620 6318772390 7582526868 9478158585 10832181240 12637544780 15165053736 18956317170 25275089560 37912634340 75825268680 142894524191 285789048382 428683572573 571578096764 714472620955 857367145146 1000261669337 1143156193528 1428945241910 1714734290292 2000523338674 2143417862865 2857890483820 3000785008011 3429468580584 4001046677348 4286835725730 5001308346685 5715780967640 6001570016022 8002093354696 8573671451460 10002616693370 12003140032044 15003925040055 17147342902920 20005233386740 24006280064088 30007850080110 40010466773480 60015700160220 120031400320440