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71444358480 = 243511113239489
BaseRepresentation
bin100001010001001101…
…0100110010101010000
320211102002011110020010
41002202122212111100
52132304223432410
652453204314520
75106313012215
oct1024232462520
9224362143203
1071444358480
1128332528a70
1211a1a6a2a40
136977757741
14365a793b0c
151cd2318c20
hex10a26a6550

71444358480 has 160 divisors (see below), whose sum is σ = 243751006080. Its totient is φ = 17166499840.

The previous prime is 71444358473. The next prime is 71444358569. The reversal of 71444358480 is 8485344417.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 178576 + ... + 418064.

It is an arithmetic number, because the mean of its divisors is an integer number (1523443788).

Almost surely, 271444358480 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 71444358480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121875503040).

71444358480 is an abundant number, since it is smaller than the sum of its proper divisors (172306647600).

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

71444358480 is a wasteful number, since it uses less digits than its factorization.

71444358480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239629 (or 239623 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

It can be divided in two parts, 71444 and 358480, that added together give a palindrome (429924).

The spelling of 71444358480 in words is "seventy-one billion, four hundred forty-four million, three hundred fifty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 113 120 132 165 176 220 226 240 264 330 339 440 452 528 565 660 678 880 904 1130 1243 1320 1356 1695 1808 2260 2486 2640 2712 3390 3729 4520 4972 5424 6215 6780 7458 9040 9944 12430 13560 14916 18645 19888 24860 27120 29832 37290 49720 59664 74580 99440 149160 239489 298320 478978 718467 957956 1197445 1436934 1915912 2394890 2634379 2873868 3592335 3831824 4789780 5268758 5747736 7184670 7903137 9579560 10537516 11495472 13171895 14369340 15806274 19159120 21075032 26343790 27062257 28738680 31612548 39515685 42150064 52687580 54124514 57477360 63225096 79031370 81186771 105375160 108249028 126450192 135311285 158062740 162373542 210750320 216498056 270622570 297684827 316125480 324747084 405933855 432996112 541245140 595369654 632250960 649494168 811867710 893054481 1082490280 1190739308 1298988336 1488424135 1623735420 1786108962 2164980560 2381478616 2976848270 3247470840 3572217924 4465272405 4762957232 5953696540 6494941680 7144435848 8930544810 11907393080 14288871696 17861089620 23814786160 35722179240 71444358480