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120329816404 = 227232413132477
BaseRepresentation
bin111000000010000110…
…1110100100101010100
3102111120222210000112211
41300010031310211110
53432413413111104
6131140113323204
711456612364160
oct1600415644524
9374528700484
10120329816404
1147039054066
121b3a2266504
13b4686246c5
145b7707bca0
1531e3e03e04
hex1c04374954

120329816404 has 96 divisors (see below), whose sum is σ = 253072866816. Its totient is φ = 48946360320.

The previous prime is 120329816393. The next prime is 120329816461. The reversal of 120329816404 is 404618923021.

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, 48577614 + ... + 48580090.

It is an arithmetic number, because the mean of its divisors is an integer number (2636175696).

Almost surely, 2120329816404 is an apocalyptic number.

120329816404 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 120329816404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126536433408).

120329816404 is an abundant number, since it is smaller than the sum of its proper divisors (132743050412).

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

120329816404 is a wasteful number, since it uses less digits than its factorization.

120329816404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3065 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 120329816404 in words is "one hundred twenty billion, three hundred twenty-nine million, eight hundred sixteen thousand, four hundred four".

Divisors: 1 2 4 7 14 23 28 46 92 161 241 313 322 482 626 644 964 1252 1687 2191 2477 3374 4382 4954 5543 6748 7199 8764 9908 11086 14398 17339 22172 28796 34678 38801 50393 56971 69356 75433 77602 100786 113942 150866 155204 201572 227884 301732 398797 528031 596957 775301 797594 1056062 1193914 1550602 1595188 1734959 2112124 2387828 3101204 3469918 4178699 5427107 6939836 8357398 10854214 12144713 13730011 16714796 17831923 21708428 24289426 27460022 35663846 48578852 54920044 71327692 96110077 124823461 186847541 192220154 249646922 373695082 384440308 499293844 747390164 1307932787 2615865574 4297493443 5231731148 8594986886 17189973772 30082454101 60164908202 120329816404