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120454544144 = 24115383155581
BaseRepresentation
bin111000000101110100…
…1100111101100010000
3102111220200110211211202
41300023221213230100
53433142330403034
6131200330530332
711462655505664
oct1601351475420
9374820424752
10120454544144
11470a24a4940
121b417b969a8
13b4884154bc
145b898688a4
1531eed4047e
hex1c0ba67b10

120454544144 has 80 divisors (see below), whose sum is σ = 262527822144. Its totient is φ = 53071449600.

The previous prime is 120454544141. The next prime is 120454544153. The reversal of 120454544144 is 441445454021.

It is a junction number, because it is equal to n+sod(n) for n = 120454544098 and 120454544107.

It is not an unprimeable number, because it can be changed into a prime (120454544141) 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 15 ways as a sum of consecutive naturals, for example, 696434 + ... + 852014.

Almost surely, 2120454544144 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 120454544144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131263911072).

120454544144 is an abundant number, since it is smaller than the sum of its proper divisors (142073278000).

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

120454544144 is a wasteful number, since it uses less digits than its factorization.

120454544144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155736 (or 155730 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 38.

Adding to 120454544144 its reverse (441445454021), we get a palindrome (561899998165).

The spelling of 120454544144 in words is "one hundred twenty billion, four hundred fifty-four million, five hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 53 83 88 106 166 176 212 332 424 583 664 848 913 1166 1328 1826 2332 3652 4399 4664 7304 8798 9328 14608 17596 35192 48389 70384 96778 155581 193556 311162 387112 622324 774224 1244648 1711391 2489296 3422782 6845564 8245793 12913223 13691128 16491586 25826446 27382256 32983172 51652892 65966344 90703723 103305784 131932688 142045453 181407446 206611568 284090906 362814892 568181812 684400819 725629784 1136363624 1368801638 1451259568 2272727248 2737603276 5475206552 7528409009 10950413104 15056818018 30113636036 60227272072 120454544144