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120021414040 = 23511877311033
BaseRepresentation
bin110111111000111010…
…1010111000010011000
3102110210111110120001001
41233301311113002120
53431300440222130
6131045335234344
711446146121003
oct1576165270230
9373714416031
10120021414040
114699aa60880
121b316b189b4
13b4197742b8
145b4811c53a
1531c6cd56ca
hex1bf1d57098

120021414040 has 64 divisors (see below), whose sum is σ = 294934880160. Its totient is φ = 43594245120.

The previous prime is 120021414031. The next prime is 120021414049. The reversal of 120021414040 is 40414120021.

It is an interprime number because it is at equal distance from previous prime (120021414031) and next prime (120021414049).

It is a super-2 number, since 2×1200214140402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120021413999 and 120021414017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120021414049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230364 + ... + 541396.

Almost surely, 2120021414040 is an apocalyptic number.

120021414040 is a gapful number since it is divisible by the number (10) 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 120021414040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147467440080).

120021414040 is an abundant number, since it is smaller than the sum of its proper divisors (174913466120).

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

120021414040 is a wasteful number, since it uses less digits than its factorization.

120021414040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311932 (or 311928 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 120021414040 its reverse (40414120021), we get a palindrome (160435534061).

It can be divided in two parts, 120021 and 414040, that added together give a triangular number (534061 = T1033).

The spelling of 120021414040 in words is "one hundred twenty billion, twenty-one million, four hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 877 1754 3508 4385 7016 8770 9647 17540 19294 35080 38588 48235 77176 96470 192940 311033 385880 622066 1244132 1555165 2488264 3110330 3421363 6220660 6842726 12441320 13685452 17106815 27370904 34213630 68427260 136854520 272775941 545551882 1091103764 1363879705 2182207528 2727759410 3000535351 5455518820 6001070702 10911037640 12002141404 15002676755 24004282808 30005353510 60010707020 120021414040