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341444089700 = 225271397434723
BaseRepresentation
bin1001111011111111010…
…01110101011101100100
31012122022211021220220022
410331333221311131210
521043234141332300
6420505055454312
733445205606240
oct4757751653544
91178284256808
10341444089700
111218953182aa
1256210b27398
1326276128acc
141275141b420
158d35d49285
hex4f7fa75764

341444089700 has 144 divisors (see below), whose sum is σ = 854201994240. Its totient is φ = 116043338880.

The previous prime is 341444089661. The next prime is 341444089703. The reversal of 341444089700 is 7980444143.

It is not an unprimeable number, because it can be changed into a prime (341444089703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72291539 + ... + 72296261.

Almost surely, 2341444089700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341444089700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427100997120).

341444089700 is an abundant number, since it is smaller than the sum of its proper divisors (512757904540).

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

341444089700 is a wasteful number, since it uses less digits than its factorization.

341444089700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5626 (or 5619 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 341444089700 in words is "three hundred forty-one billion, four hundred forty-four million, eighty-nine thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 139 140 175 278 350 556 695 700 743 973 1390 1486 1946 2780 2972 3475 3715 3892 4723 4865 5201 6950 7430 9446 9730 10402 13900 14860 18575 18892 19460 20804 23615 24325 26005 33061 37150 47230 48650 52010 66122 74300 94460 97300 103277 104020 118075 130025 132244 165305 206554 236150 260050 330610 413108 472300 516385 520100 656497 661220 722939 826525 1032770 1312994 1445878 1653050 2065540 2581925 2625988 2891756 3282485 3306100 3509189 3614695 4595479 5163850 6564970 7018378 7229390 9190958 10327700 13129940 14036756 14458780 16412425 17545945 18073475 18381916 22977395 24564323 32824850 35091890 36146950 45954790 49128646 65649700 70183780 72293900 87729725 91909580 98257292 114886975 122821615 175459450 229773950 245643230 350918900 459547900 487777271 491286460 614108075 975554542 1228216150 1951109084 2438886355 2456432300 3414440897 4877772710 6828881794 9755545420 12194431775 13657763588 17072204485 24388863550 34144408970 48777727100 68288817940 85361022425 170722044850 341444089700