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40422248880 = 243513109118861
BaseRepresentation
bin100101101001010110…
…101001000110110000
310212100002121000001220
4211221112221012300
51130241043431010
630323021025040
72630462306046
oct455126510660
9125302530056
1040422248880
111616333a962
127a013b5180
133a726b3a80
141d566c4396
1510b8ae2970
hex9695a91b0

40422248880 has 160 divisors (see below), whose sum is σ = 136187325120. Its totient is φ = 9858723840.

The previous prime is 40422248861. The next prime is 40422248897. The reversal of 40422248880 is 8884222404.

It is a super-2 number, since 2×404222488802 (a number of 22 digits) contains 22 as substring.

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, 280650 + ... + 399510.

It is an arithmetic number, because the mean of its divisors is an integer number (851170782).

Almost surely, 240422248880 is an apocalyptic number.

40422248880 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 40422248880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68093662560).

40422248880 is an abundant number, since it is smaller than the sum of its proper divisors (95765076240).

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

40422248880 is a wasteful number, since it uses less digits than its factorization.

40422248880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118999 (or 118993 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 42.

The spelling of 40422248880 in words is "forty billion, four hundred twenty-two million, two hundred forty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 109 120 130 156 195 208 218 240 260 312 327 390 436 520 545 624 654 780 872 1040 1090 1308 1417 1560 1635 1744 2180 2616 2834 3120 3270 4251 4360 5232 5668 6540 7085 8502 8720 11336 13080 14170 17004 21255 22672 26160 28340 34008 42510 56680 68016 85020 113360 118861 170040 237722 340080 356583 475444 594305 713166 950888 1188610 1426332 1545193 1782915 1901776 2377220 2852664 3090386 3565830 4635579 4754440 5705328 6180772 7131660 7725965 9271158 9508880 12361544 12955849 14263320 15451930 18542316 23177895 24723088 25911698 28526640 30903860 37084632 38867547 46355790 51823396 61807720 64779245 74169264 77735094 92711580 103646792 123615440 129558490 155470188 168426037 185423160 194337735 207293584 259116980 310940376 336852074 370846320 388675470 505278111 518233960 621880752 673704148 777350940 842130185 1010556222 1036467920 1347408296 1554701880 1684260370 2021112444 2526390555 2694816592 3109403760 3368520740 4042224888 5052781110 6737041480 8084449776 10105562220 13474082960 20211124440 40422248880