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4332142402000 = 245371718202279
BaseRepresentation
bin111111000010100111110…
…011110001100111010000
3120100011000110012221002121
4333002213303301213100
51031434211423331000
613114054142224024
7624662345562340
oct77024763614720
916304013187077
104332142402000
1114202844a1266
1259b721885014
13255699b0520a
1410d969252d20
1577a503d3b1a
hex3f0a7cf19d0

4332142402000 has 160 divisors (see below), whose sum is σ = 12675776555520. Its totient is φ = 1397934950400.

The previous prime is 4332142401973. The next prime is 4332142402031. The reversal of 4332142402000 is 2042412334.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8863140 + ... + 9339139.

It is an arithmetic number, because the mean of its divisors is an integer number (79223603472).

Almost surely, 24332142402000 is an apocalyptic number.

4332142402000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4332142402000 is an abundant number, since it is smaller than the sum of its proper divisors (8343634153520).

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

4332142402000 is a wasteful number, since it uses less digits than its factorization.

4332142402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18202326 (or 18202310 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 4332142402000 its reverse (2042412334), we get a palindrome (4334184814334).

The spelling of 4332142402000 in words is "four trillion, three hundred thirty-two billion, one hundred forty-two million, four hundred two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 25 28 34 35 40 50 56 68 70 80 85 100 112 119 125 136 140 170 175 200 238 250 272 280 340 350 400 425 476 500 560 595 680 700 850 875 952 1000 1190 1360 1400 1700 1750 1904 2000 2125 2380 2800 2975 3400 3500 4250 4760 5950 6800 7000 8500 9520 11900 14000 14875 17000 23800 29750 34000 47600 59500 119000 238000 18202279 36404558 72809116 91011395 127415953 145618232 182022790 254831906 291236464 309438743 364045580 455056975 509663812 618877486 637079765 728091160 910113950 1019327624 1237754972 1274159530 1456182320 1547193715 1820227900 2038655248 2166071201 2275284875 2475509944 2548319060 3094387430 3185398825 3640455800 4332142402 4550569750 4951019888 5096638120 6188774860 6370797650 7280911600 7735968575 8664284804 9101139500 10193276240 10830356005 12377549720 12741595300 15471937150 15926994125 17328569608 18202279000 21660712010 24755099440 25483190600 30943874300 31853988250 34657139216 36404558000 38679842875 43321424020 50966381200 54151780025 61887748600 63707976500 77359685750 86642848040 108303560050 123775497200 127415953000 154719371500 173285696080 216607120100 254831906000 270758900125 309438743000 433214240200 541517800250 618877486000 866428480400 1083035600500 2166071201000 4332142402000