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441229497240 = 23357797659063
BaseRepresentation
bin1100110101110110101…
…00111101001110011000
31120011220001010211122010
412122323110331032120
524212114222402430
6534410435225520
743610035562610
oct6327324751630
91504801124563
10441229497240
11160140603964
127161aa482a0
13327b934225c
14174d9b7ba40
15b7262e5cb0
hex66bb53d398

441229497240 has 128 divisors (see below), whose sum is σ = 1514687247360. Its totient is φ = 100725763584.

The previous prime is 441229497179. The next prime is 441229497271. The reversal of 441229497240 is 42794922144.

It is a self number, because there is not a number n which added to its sum of digits gives 441229497240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339949 + ... + 999011.

It is an arithmetic number, because the mean of its divisors is an integer number (11833494120).

Almost surely, 2441229497240 is an apocalyptic number.

441229497240 is a gapful number since it is divisible by the number (40) 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 441229497240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757343623680).

441229497240 is an abundant number, since it is smaller than the sum of its proper divisors (1073457750120).

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

441229497240 is a wasteful number, since it uses less digits than its factorization.

441229497240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659881 (or 659877 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 441229497240 in words is "four hundred forty-one billion, two hundred twenty-nine million, four hundred ninety-seven thousand, two 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 84 105 120 140 168 210 280 420 797 840 1594 2391 3188 3985 4782 5579 6376 7970 9564 11158 11955 15940 16737 19128 22316 23910 27895 31880 33474 44632 47820 55790 66948 83685 95640 111580 133896 167370 223160 334740 659063 669480 1318126 1977189 2636252 3295315 3954378 4613441 5272504 6590630 7908756 9226882 9885945 13181260 13840323 15817512 18453764 19771890 23067205 26362520 27680646 36907528 39543780 46134410 55361292 69201615 79087560 92268820 110722584 138403230 184537640 276806460 525273211 553612920 1050546422 1575819633 2101092844 2626366055 3151639266 3676912477 4202185688 5252732110 6303278532 7353824954 7879098165 10505464220 11030737431 12606557064 14707649908 15758196330 18384562385 21010928440 22061474862 29415299816 31516392660 36769124770 44122949724 55153687155 63032785320 73538249540 88245899448 110307374310 147076499080 220614748620 441229497240