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41220325120 = 285133078069
BaseRepresentation
bin100110011000111011…
…000011111100000000
310221101201022110212011
4212120323003330000
51133404400400440
630534130342304
72656322660662
oct463073037400
9127351273764
1041220325120
11165328873a7
127ba472a994
133b6bb42130
141dd06ac532
151113bd99ea
hex998ec3f00

41220325120 has 144 divisors (see below), whose sum is σ = 106690177440. Its totient is φ = 15168356352.

The previous prime is 41220325063. The next prime is 41220325163. The reversal of 41220325120 is 2152302214.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 41220325091 and 41220325100.

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, 5104446 + ... + 5112514.

It is an arithmetic number, because the mean of its divisors is an integer number (740904010).

Almost surely, 241220325120 is an apocalyptic number.

41220325120 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 41220325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53345088720).

41220325120 is an abundant number, since it is smaller than the sum of its proper divisors (65469852320).

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

41220325120 is a wasteful number, since it uses less digits than its factorization.

41220325120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8410 (or 8396 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 41220325120 its reverse (2152302214), we get a palindrome (43372627334).

The spelling of 41220325120 in words is "forty-one billion, two hundred twenty million, three hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 307 320 416 520 614 640 832 1040 1228 1280 1535 1664 2080 2456 3070 3328 3991 4160 4912 6140 7982 8069 8320 9824 12280 15964 16138 16640 19648 19955 24560 31928 32276 39296 39910 40345 49120 63856 64552 78592 79820 80690 98240 104897 127712 129104 159640 161380 196480 209794 255424 258208 319280 322760 392960 419588 510848 516416 524485 638560 645520 839176 1021696 1032832 1048970 1277120 1291040 1678352 2065664 2097940 2477183 2554240 2582080 3356704 4195880 4954366 5108480 5164160 6713408 8391760 9908732 10328320 12385915 13426816 16783520 19817464 24771830 26853632 32203379 33567040 39634928 49543660 64406758 67134080 79269856 99087320 128813516 134268160 158539712 161016895 198174640 257627032 317079424 322033790 396349280 515254064 634158848 644067580 792698560 1030508128 1288135160 1585397120 2061016256 2576270320 3170794240 4122032512 5152540640 8244065024 10305081280 20610162560 41220325120