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120410450442044 = 227411011397471127
BaseRepresentation
bin11011011000001100111110…
…001000000011011100111100
3120210100010102022200212101022
4123120030332020003130330
5111240301100303121134
61104031444114203312
734235240132320220
oct3330147610033474
9523303368625338
10120410450442044
11354038701a9374
1211608428283538
13522586cb78419
1421a3c7b12a780
15ddc24373652e
hex6d833e20373c

120410450442044 has 96 divisors (see below), whose sum is σ = 250929488839680. Its totient is φ = 49488738624000.

The previous prime is 120410450442017. The next prime is 120410450442083. The reversal of 120410450442044 is 440244054014021.

It is a junction number, because it is equal to n+sod(n) for n = 120410450441995 and 120410450442013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12381209 + ... + 19852335.

It is an arithmetic number, because the mean of its divisors is an integer number (2613848842080).

Almost surely, 2120410450442044 is an apocalyptic number.

120410450442044 is a gapful number since it is divisible by the number (14) 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 120410450442044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125464744419840).

120410450442044 is an abundant number, since it is smaller than the sum of its proper divisors (130519038397636).

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

120410450442044 is a wasteful number, since it uses less digits than its factorization.

120410450442044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7471419 (or 7471417 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 35.

The spelling of 120410450442044 in words is "one hundred twenty trillion, four hundred ten billion, four hundred fifty million, four hundred forty-two thousand, forty-four".

Divisors: 1 2 4 7 14 28 41 82 101 139 164 202 278 287 404 556 574 707 973 1148 1414 1946 2828 3892 4141 5699 8282 11398 14039 16564 22796 28078 28987 39893 56156 57974 79786 98273 115948 159572 196546 393092 575599 1151198 2302396 4029193 7471127 8058386 14942254 16116772 29884508 52297889 104595778 209191556 306316207 612632414 754583827 1038486653 1225264828 1509167654 2076973306 2144213449 3018335308 4153946612 4288426898 5282086789 7269406571 8576853796 10564173578 14538813142 21128347156 29077626284 30937936907 42577952773 61875873814 85155905546 104887151953 123751747628 170311811092 209774303906 216565558349 298045669411 419548607812 433131116698 596091338822 734210063671 866262233396 1192182677644 1468420127342 2936840254684 4300373230073 8600746460146 17201492920292 30102612610511 60205225221022 120410450442044