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47444414480340 = 223523207191659347
BaseRepresentation
bin10101100100110100000110…
…11110001011111111010100
320012222122022211010201202220
422302122003132023333110
522204312130101332330
6244523355122302340
712664513551053643
oct1262320336137724
9205878284121686
1047444414480340
1114132077112209
1253a30664b79b0
132061cb2046907
14ba047148935a
15574211145710
hex2b268378bfd4

47444414480340 has 96 divisors (see below), whose sum is σ = 138626976337920. Its totient is φ = 12101172310656.

The previous prime is 47444414480329. The next prime is 47444414480369. The reversal of 47444414480340 is 4308441444474.

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, 27762547 + ... + 29421893.

It is an arithmetic number, because the mean of its divisors is an integer number (1444031003520).

Almost surely, 247444414480340 is an apocalyptic number.

It is an amenable number.

47444414480340 is an abundant number, since it is smaller than the sum of its proper divisors (91182561857580).

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

47444414480340 is a wasteful number, since it uses less digits than its factorization.

47444414480340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680101 (or 1680099 counting only the distinct ones).

The product of its (nonzero) digits is 11010048, while the sum is 51.

The spelling of 47444414480340 in words is "forty-seven trillion, four hundred forty-four billion, four hundred fourteen million, four hundred eighty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 20719 41438 62157 82876 103595 124314 207190 248628 310785 414380 476537 621570 953074 1243140 1429611 1659347 1906148 2382685 2859222 3318694 4765370 4978041 5718444 6637388 7148055 8296735 9530740 9956082 14296110 16593470 19912164 24890205 28592220 33186940 38164981 49780410 76329962 99560820 114494943 152659924 190824905 228989886 381649810 457979772 572474715 763299620 1144949430 2289898860 34380010493 68760020986 103140031479 137520041972 171900052465 206280062958 343800104930 412560125916 515700157395 687600209860 790740241339 1031400314790 1581480482678 2062800629580 2372220724017 3162960965356 3953701206695 4744441448034 7907402413390 9488882896068 11861103620085 15814804826780 23722207240170 47444414480340