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41120224440 = 23356110354539
BaseRepresentation
bin100110010010111101…
…001101010010111000
310221010201221211112120
4212102331031102320
51133203234140230
630520153041240
72653666066161
oct462275152270
9127121854476
1041120224440
1116491327269
127b770b6220
133b54194869
141dc1292768
15110a015310
hex992f4d4b8

41120224440 has 128 divisors (see below), whose sum is σ = 126602611200. Its totient is φ = 10680721920.

The previous prime is 41120224421. The next prime is 41120224451. The reversal of 41120224440 is 4442202114.

41120224440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41120224440.

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, 726691 + ... + 781229.

It is an arithmetic number, because the mean of its divisors is an integer number (989082900).

Almost surely, 241120224440 is an apocalyptic number.

41120224440 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 41120224440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63301305600).

41120224440 is an abundant number, since it is smaller than the sum of its proper divisors (85482386760).

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

41120224440 is a wasteful number, since it uses less digits than its factorization.

41120224440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54717 (or 54713 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 41120224440 its reverse (4442202114), we get a palindrome (45562426554).

The spelling of 41120224440 in words is "forty-one billion, one hundred twenty million, two hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 103 120 122 183 206 244 305 309 366 412 488 515 610 618 732 824 915 1030 1220 1236 1464 1545 1830 2060 2440 2472 3090 3660 4120 6180 6283 7320 12360 12566 18849 25132 31415 37698 50264 54539 62830 75396 94245 109078 125660 150792 163617 188490 218156 251320 272695 327234 376980 436312 545390 654468 753960 818085 1090780 1308936 1636170 2181560 3272340 3326879 5617517 6544680 6653758 9980637 11235034 13307516 16634395 16852551 19961274 22470068 26615032 28087585 33268790 33705102 39922548 44940136 49903185 56175170 66537580 67410204 79845096 84262755 99806370 112350340 133075160 134820408 168525510 199612740 224700680 337051020 342668537 399225480 674102040 685337074 1028005611 1370674148 1713342685 2056011222 2741348296 3426685370 4112022444 5140028055 6853370740 8224044888 10280056110 13706741480 20560112220 41120224440