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120404444831072 = 2529193819182073
BaseRepresentation
bin11011011000000111011000…
…001010011101110101100000
3120210022112220210002012220022
4123120013120022131311200
5111240201300334043242
61104025012141133012
734234635246422303
oct3330073012356540
9523275823065808
10120404444831072
1135401269195a16
1211607230b5a168
13522512389676c
1421a386b69ab3a
15ddbee13910d2
hex6d81d829dd60

120404444831072 has 96 divisors (see below), whose sum is σ = 246523927265280. Its totient is φ = 57817347194880.

The previous prime is 120404444831057. The next prime is 120404444831089. The reversal of 120404444831072 is 270138444404021.

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, 1466999828 + ... + 1467081900.

It is an arithmetic number, because the mean of its divisors is an integer number (2567957575680).

Almost surely, 2120404444831072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120404444831072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123261963632640).

120404444831072 is an abundant number, since it is smaller than the sum of its proper divisors (126119482434208).

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

120404444831072 is a wasteful number, since it uses less digits than its factorization.

120404444831072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90496 (or 90488 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 44.

The spelling of 120404444831072 in words is "one hundred twenty trillion, four hundred four billion, four hundred forty-four million, eight hundred thirty-one thousand, seventy-two".

Divisors: 1 2 4 8 16 29 32 58 116 193 232 386 464 772 928 1544 3088 5597 6176 8191 11194 16382 22388 32764 44776 65528 82073 89552 131056 164146 179104 237539 262112 328292 475078 656584 950156 1313168 1580863 1900312 2380117 2626336 3161726 3800624 4760234 6323452 7601248 9520468 12646904 15840089 19040936 25293808 31680178 38081872 45845027 50587616 63360356 76163744 91690054 126720712 183380108 253441424 366760216 459362581 506882848 672259943 733520432 918725162 1344519886 1467040864 1837450324 2689039772 3674900648 5378079544 7349801296 10756159088 14699602592 19495538347 21512318176 38991076694 77982153388 129746168999 155964306776 259492337998 311928613552 518984675996 623857227104 1037969351992 2075938703984 3762638900971 4151877407968 7525277801942 15050555603884 30101111207768 60202222415536 120404444831072