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103044445434 = 23372101385579
BaseRepresentation
bin101111111110111101…
…1010111010011111010
3100211222100022012021000
41133331323113103322
53142013334223214
6115201000025430
710305352222500
oct1377573272372
9324870265230
10103044445434
113a7789a3007
1217b79462276
139942486048
144db7516670
152a3165c809
hex17fded74fa

103044445434 has 96 divisors (see below), whose sum is σ = 269011454400. Its totient is φ = 29149696800.

The previous prime is 103044445429. The next prime is 103044445477. The reversal of 103044445434 is 434544440301.

103044445434 is a `hidden beast` number, since 1 + 0 + 30 + 44 + 44 + 543 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74457 + ... + 460035.

It is an arithmetic number, because the mean of its divisors is an integer number (2802202650).

Almost surely, 2103044445434 is an apocalyptic number.

103044445434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103044445434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134505727200).

103044445434 is an abundant number, since it is smaller than the sum of its proper divisors (165967008966).

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

103044445434 is a wasteful number, since it uses less digits than its factorization.

103044445434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385705 (or 385692 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 103044445434 its reverse (434544440301), we get a palindrome (537588885735).

The spelling of 103044445434 in words is "one hundred three billion, forty-four million, four hundred forty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 101 126 147 189 202 294 303 378 441 606 707 882 909 1323 1414 1818 2121 2646 2727 4242 4949 5454 6363 9898 12726 14847 19089 29694 38178 44541 89082 133623 267246 385579 771158 1156737 2313474 2699053 3470211 5398106 6940422 8097159 10410633 16194318 18893371 20821266 24291477 37786742 38943479 48582954 56680113 72874431 77886958 113360226 116830437 145748862 170040339 233660874 272604353 340080678 350491311 510121017 545208706 700982622 817813059 1020242034 1051473933 1635626118 1908230471 2102947866 2453439177 3816460942 4906878354 5724691413 7360317531 11449382826 14720635062 17174074239 34348148478 51522222717 103044445434