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444321404032140 = 2232516411150414493
BaseRepresentation
bin110010100000110111010001…
…1011101000001010010001100
32011021012201012121021100101200
41211001232203131001102030
5431214230213413012030
64212554233553105500
7162406106412136665
oct14501564335012214
92137181177240350
10444321404032140
11119635716160798
1241a0056b258290
13160c0436c782cb
147ba13b0b2c36c
153657c4561ed60
hex1941ba374148c

444321404032140 has 72 divisors (see below), whose sum is σ = 1347857060838288. Its totient is φ = 118478487058560.

The previous prime is 444321404032139. The next prime is 444321404032283. The reversal of 444321404032140 is 41230404123444.

444321404032140 is a `hidden beast` number, since 4 + 4 + 4 + 32 + 1 + 4 + 0 + 403 + 214 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 444321404032095 and 444321404032104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72253267 + ... + 78161226.

Almost surely, 2444321404032140 is an apocalyptic number.

It is an amenable number.

444321404032140 is an abundant number, since it is smaller than the sum of its proper divisors (903535656806148).

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

444321404032140 is a wasteful number, since it uses less digits than its factorization.

444321404032140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150430919 (or 150430914 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 444321404032140 its reverse (41230404123444), we get a palindrome (485551808155584).

The spelling of 444321404032140 in words is "four hundred forty-four trillion, three hundred twenty-one billion, four hundred four million, thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 16411 32822 49233 65644 82055 98466 147699 164110 196932 246165 295398 328220 492330 590796 738495 984660 1476990 2953980 150414493 300828986 451243479 601657972 752072465 902486958 1353730437 1504144930 1804973916 2256217395 2707460874 3008289860 4512434790 5414921748 6768652185 9024869580 13537304370 27074608740 2468452244623 4936904489246 7405356733869 9873808978492 12342261223115 14810713467738 22216070201607 24684522446230 29621426935476 37026783669345 44432140403214 49369044892460 74053567338690 88864280806428 111080351008035 148107134677380 222160702016070 444321404032140