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42241411401320 = 23517611039980131
BaseRepresentation
bin10011001101011000110000…
…10100100100011001101000
312112120020110120220200220102
421212230120110210121220
521014040402304320240
6225501234141244532
711616561360436205
oct1146543024443150
9175506416820812
1042241411401320
111250653356086a
1248a2803263748
131a7546a741661
14a606d0c56cac
154d3be19ed815
hex266b18524668

42241411401320 has 128 divisors (see below), whose sum is σ = 102382236403200. Its totient is φ = 15626879078400.

The previous prime is 42241411401313. The next prime is 42241411401391. The reversal of 42241411401320 is 2310411414224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42607655 + ... + 43587785.

It is an arithmetic number, because the mean of its divisors is an integer number (799861221900).

Almost surely, 242241411401320 is an apocalyptic number.

42241411401320 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 42241411401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51191118201600).

42241411401320 is an abundant number, since it is smaller than the sum of its proper divisors (60140825001880).

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

42241411401320 is a wasteful number, since it uses less digits than its factorization.

42241411401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981259 (or 981255 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 42241411401320 its reverse (2310411414224), we get a palindrome (44551822815544).

The spelling of 42241411401320 in words is "forty-two trillion, two hundred forty-one billion, four hundred eleven million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 61 68 85 122 136 170 244 305 340 488 610 680 1037 1039 1220 2074 2078 2440 4148 4156 5185 5195 8296 8312 10370 10390 17663 20740 20780 35326 41480 41560 63379 70652 88315 126758 141304 176630 253516 316895 353260 507032 633790 706520 980131 1077443 1267580 1960262 2154886 2535160 3920524 4309772 4900655 5387215 7841048 8619544 9801310 10774430 16662227 19602620 21548860 33324454 39205240 43097720 59787991 66648908 83311135 119575982 133297816 166622270 239151964 298939955 333244540 478303928 597879910 666489080 1016395847 1018356109 1195759820 2032791694 2036712218 2391519640 4065583388 4073424436 5081979235 5091780545 8131166776 8146848872 10163958470 10183561090 17312053853 20327916940 20367122180 34624107706 40655833880 40734244360 62119722649 69248215412 86560269265 124239445298 138496430824 173120538530 248478890596 310598613245 346241077060 496957781192 621197226490 692482154120 1056035285033 1242394452980 2112070570066 2484788905960 4224141140132 5280176425165 8448282280264 10560352850330 21120705700660 42241411401320