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41449248880 = 24513131307991
BaseRepresentation
bin100110100110100100…
…010101100001110000
310221222200002000012221
4212212210111201300
51134342001431010
631012545130424
72665102542124
oct464644254160
9127880060187
1041449248880
1116640025196
128049329a14
133ba73b5590
142012c5d584
151128d58dda
hex9a6915870

41449248880 has 160 divisors (see below), whose sum is σ = 105021278208. Its totient is φ = 15122764800.

The previous prime is 41449248877. The next prime is 41449248899. The reversal of 41449248880 is 8884294414.

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 41825185 + ... + 41826175.

Almost surely, 241449248880 is an apocalyptic number.

41449248880 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 41449248880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52510639104).

41449248880 is an abundant number, since it is smaller than the sum of its proper divisors (63572029328).

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

41449248880 is a wasteful number, since it uses less digits than its factorization.

41449248880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 52.

The spelling of 41449248880 in words is "forty-one billion, four hundred forty-nine million, two hundred forty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 131 208 260 262 307 520 524 614 655 991 1040 1048 1228 1310 1535 1703 1982 2096 2456 2620 3070 3406 3964 3991 4912 4955 5240 6140 6812 7928 7982 8515 9910 10480 12280 12883 13624 15856 15964 17030 19820 19955 24560 25766 27248 31928 34060 39640 39910 40217 51532 63856 64415 68120 79280 79820 80434 103064 128830 129821 136240 159640 160868 201085 206128 257660 259642 304237 319280 321736 402170 515320 519284 522821 608474 643472 649105 804340 1030640 1038568 1045642 1216948 1298210 1521185 1608680 1687673 2077136 2091284 2433896 2596420 2614105 3042370 3217360 3375346 3955081 4182568 4867792 5192840 5228210 6084740 6750692 7910162 8365136 8438365 10385680 10456420 12169480 13501384 15820324 16876730 19775405 20912840 24338960 27002768 31640648 33753460 39550810 39855047 41825680 63281296 67506920 79101620 79710094 135013840 158203240 159420188 199275235 316406480 318840376 398550470 518115611 637680752 797100940 1036231222 1594201880 2072462444 2590578055 3188403760 4144924888 5181156110 8289849776 10362312220 20724624440 41449248880