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120013304441044 = 22771257883266023
BaseRepresentation
bin11011010010011011000110…
…011000010010100011010100
3120201221011022112102200000011
4123102123012120102203110
5111212244221414103134
61103125203445130004
734164450364106050
oct3322330630224324
9521834275380004
10120013304441044
11352703a1686733
12115634709b9904
1351c728a8c29b1
14218c964006c60
15dd1c4c692264
hex6d26c66128d4

120013304441044 has 96 divisors (see below), whose sum is σ = 244632026935296. Its totient is φ = 50455137116160.

The previous prime is 120013304440963. The next prime is 120013304441053. The reversal of 120013304441044 is 440144403310021.

It is a super-2 number, since 2×1200133044410442 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120013304440997 and 120013304441015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451005817 + ... + 451271839.

It is an arithmetic number, because the mean of its divisors is an integer number (2548250280576).

Almost surely, 2120013304441044 is an apocalyptic number.

120013304441044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

120013304441044 is an abundant number, since it is smaller than the sum of its proper divisors (124618722494252).

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

120013304441044 is a wasteful number, since it uses less digits than its factorization.

120013304441044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267245 (or 267243 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 120013304441044 its reverse (440144403310021), we get a palindrome (560157707751065).

The spelling of 120013304441044 in words is "one hundred twenty trillion, thirteen billion, three hundred four million, four hundred forty-one thousand, forty-four".

Divisors: 1 2 4 7 14 28 71 142 257 284 497 514 883 994 1028 1766 1799 1988 3532 3598 6181 7196 12362 18247 24724 36494 62693 72988 125386 127729 226931 250772 255458 266023 438851 453862 510916 532046 877702 907724 1064092 1588517 1755404 1862161 3177034 3724322 6354068 7448644 16112101 18887633 32224202 37775266 64448404 68367911 75550532 112784707 132213431 136735822 225569414 234898309 264426862 273471644 451138828 469796618 478575377 528853724 939593236 957150754 1644288163 1914301508 3288576326 4854121681 6577152652 9708243362 16677779939 19416486724 33355559878 33978851767 60368865413 66711119756 67957703534 116744459573 120737730826 135915407068 233488919146 241475461652 422582057891 466977838292 845164115782 1690328231564 4286189444323 8572378888646 17144757777292 30003326110261 60006652220522 120013304441044