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41024301440 = 2751923146683
BaseRepresentation
bin100110001101001111…
…010010100110000000
310220220001110102220212
4212031033102212000
51133004210121230
630502445053252
72651422544243
oct461517224600
9126801412825
1041024301440
111644216a961
127b4ab57228
133b3a34a9a5
141db264325a
1511018b8895
hex98d3d2980

41024301440 has 128 divisors (see below), whose sum is σ = 107724729600. Its totient is φ = 14870034432.

The previous prime is 41024301427. The next prime is 41024301491. The reversal of 41024301440 is 4410342014.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206339 + ... + 353021.

It is an arithmetic number, because the mean of its divisors is an integer number (841599450).

Almost surely, 241024301440 is an apocalyptic number.

41024301440 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 41024301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53862364800).

41024301440 is an abundant number, since it is smaller than the sum of its proper divisors (66700428160).

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

41024301440 is a wasteful number, since it uses less digits than its factorization.

41024301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146744 (or 146732 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 41024301440 its reverse (4410342014), we get a palindrome (45434643454).

The spelling of 41024301440 in words is "forty-one billion, twenty-four million, three hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 23 32 38 40 46 64 76 80 92 95 115 128 152 160 184 190 230 304 320 368 380 437 460 608 640 736 760 874 920 1216 1472 1520 1748 1840 2185 2432 2944 3040 3496 3680 4370 6080 6992 7360 8740 12160 13984 14720 17480 27968 34960 55936 69920 139840 146683 279680 293366 586732 733415 1173464 1466830 2346928 2786977 2933660 3373709 4693856 5573954 5867320 6747418 9387712 11147908 11734640 13494836 13934885 16868545 18775424 22295816 23469280 26989672 27869770 33737090 44591632 46938560 53979344 55739540 64100471 67474180 89183264 93877120 107958688 111479080 128200942 134948360 178366528 215917376 222958160 256401884 269896720 320502355 356733056 431834752 445916320 512803768 539793440 641004710 891832640 1025607536 1079586880 1282009420 1783665280 2051215072 2159173760 2564018840 4102430144 5128037680 8204860288 10256075360 20512150720 41024301440