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120442401354 = 231143227318671
BaseRepresentation
bin111000000101011101…
…1010011001001001010
3102111212211121221001210
41300022323103021022
53433131223320404
6131155214353550
711462450343162
oct1601273231112
9374784557053
10120442401354
1147096660880
121b413abb8b6
13b485a53512
145b87dc75a2
1531edc42689
hex1c0aed324a

120442401354 has 64 divisors (see below), whose sum is σ = 269027371008. Its totient is φ = 35631321600.

The previous prime is 120442401353. The next prime is 120442401371. The reversal of 120442401354 is 453104244021.

It is not an unprimeable number, because it can be changed into a prime (120442401353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6441439 + ... + 6460109.

It is an arithmetic number, because the mean of its divisors is an integer number (4203552672).

Almost surely, 2120442401354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120442401354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134513685504).

120442401354 is an abundant number, since it is smaller than the sum of its proper divisors (148584969654).

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

120442401354 is a wasteful number, since it uses less digits than its factorization.

120442401354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21003.

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 120442401354 its reverse (453104244021), we get a palindrome (573546645375).

The spelling of 120442401354 in words is "one hundred twenty billion, four hundred forty-two million, four hundred one thousand, three hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 473 946 1419 2273 2838 4546 6819 13638 18671 25003 37342 50006 56013 75009 97739 112026 150018 195478 205381 293217 410762 586434 616143 802853 1075129 1232286 1605706 2150258 2408559 3225387 4817118 6450774 8831383 17662766 26494149 42439183 52988298 84878366 127317549 254635098 466831013 933662026 1400493039 1824884869 2800986078 3649769738 5474654607 10949309214 20073733559 40147467118 60221200677 120442401354