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120311144304 = 243132297191171
BaseRepresentation
bin111000000001100011…
…0100101111101110000
3102111112200122101020120
41300003012211331300
53432344123104204
6131134205210240
711456264565441
oct1600306457560
9374480571216
10120311144304
114702956047a
121b397b60980
13b4647b7820
145b747bb2c8
1531e24666d9
hex1c031a5f70

120311144304 has 160 divisors (see below), whose sum is σ = 336928435200. Its totient is φ = 36774466560.

The previous prime is 120311144269. The next prime is 120311144333. The reversal of 120311144304 is 403441113021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 102741639 + ... + 102742809.

It is an arithmetic number, because the mean of its divisors is an integer number (2105802720).

Almost surely, 2120311144304 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 120311144304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168464217600).

120311144304 is an abundant number, since it is smaller than the sum of its proper divisors (216617290896).

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

120311144304 is a wasteful number, since it uses less digits than its factorization.

120311144304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 120311144304 its reverse (403441113021), we get a palindrome (523752257325).

The spelling of 120311144304 in words is "one hundred twenty billion, three hundred eleven million, one hundred forty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 229 312 458 624 687 719 916 1171 1374 1438 1832 2157 2342 2748 2876 2977 3513 3664 4314 4684 5496 5752 5954 7026 8628 8931 9347 9368 10992 11504 11908 14052 15223 17256 17862 18694 18736 23816 28041 28104 30446 34512 35724 37388 45669 47632 56082 56208 60892 71448 74776 91338 112164 121784 142896 149552 164651 182676 224328 243568 268159 329302 365352 448656 493953 536318 658604 730704 804477 841949 987906 1072636 1317208 1608954 1683898 1975812 2140463 2145272 2525847 2634416 3217908 3367796 3486067 3951624 4280926 4290544 5051694 6421389 6435816 6735592 6972134 7903248 8561852 10103388 10458201 10945337 12842778 12871632 13471184 13944268 17123704 20206776 20916402 21890674 25685556 27888536 32836011 34247408 40413552 41832804 43781348 51371112 55777072 65672022 83665608 87562696 102742224 131344044 167331216 175125392 192806321 262688088 385612642 525376176 578418963 771225284 1156837926 1542450568 2313675852 2506482173 3084901136 4627351704 5012964346 7519446519 9254703408 10025928692 15038893038 20051857384 30077786076 40103714768 60155572152 120311144304